Unsupervised Learning: Clusters

(Textbook: Chapter 12)

The Big Picture

Our primary focus in this section is on the Visualize and Model phases.

Unsupervised Learning

Unsupervised Learning

• There is no response variable \(Y\) that we are trying to predict or to understand in terms of the other variables.
• We just let the computer look for patterns in the data (possibly with hints from us).
• Hence a train/test division of the data is not relevant.

Hierarchical Clustering

Cars from 2017

EPA data on 2017 model cars:

library(tigerData)
?cars2017

Hierarchical Clustering

• Consider only the numerical variables.
• Calculate distance betwen each pair of individuals in the data.
• Divide into 2 cluster of points that are “close” to one another.
• Divide each cluster into two more clusters …
• … until you get down to indvidual points (or points that are 0 apart).

Choose a Manufacturer

toyota <- 
  cars2017 %>% 
  filter(make == "Toyota")
rownames(toyota) <- with(toyota, 
                         stringr::str_c(model,
                                        displacement,
                                        cylinders,
                                        gears,
                                        city_mpg,
                                        hwy_mpg,
                                        sep = "-"))

Toyota Table

	make	model	displacement	cylinders	city_mpg	hwy_mpg	gears
86-2-4-6-24-32	Toyota	86	2.0	4	24	32	6
RC 200t-2-4-8-22-32	Toyota	RC 200t	2.0	4	22	32	8
RC 300 AWD-3.5-6-6-19-26	Toyota	RC 300 AWD	3.5	6	19	26	6
RC 350-3.5-6-8-19-28	Toyota	RC 350	3.5	6	19	28	8
RC 350 AWD-3.5-6-6-19-26	Toyota	RC 350 AWD	3.5	6	19	26	6
RC F-5-8-8-16-25	Toyota	RC F	5.0	8	16	25	8
YARIS iA-1.5-4-6-32-40	Toyota	YARIS iA	1.5	4	32	40	6
CT 200h-1.8-4-1-43-40	Toyota	CT 200h	1.8	4	43	40	1
GS F-5-8-8-16-24	Toyota	GS F	5.0	8	16	24	8
IS 200t-2-4-8-22-32	Toyota	IS 200t	2.0	4	22	32	8
IS 300 AWD-3.5-6-6-19-26	Toyota	IS 300 AWD	3.5	6	19	26	6
IS 350-3.5-6-8-19-28	Toyota	IS 350	3.5	6	19	28	8
IS 350 AWD-3.5-6-6-19-26	Toyota	IS 350 AWD	3.5	6	19	26	6
PRIUS c-1.5-4-1-48-43	Toyota	PRIUS c	1.5	4	48	43	1
YARIS-1.5-4-4-30-35	Toyota	YARIS	1.5	4	30	35	4
YARIS-1.5-4-5-30-36	Toyota	YARIS	1.5	4	30	36	5
ES 300h-2.5-4-6-40-39	Toyota	ES 300h	2.5	4	40	39	6
ES 350-3.5-6-6-21-30	Toyota	ES 350	3.5	6	21	30	6
GS 200t-2-4-8-22-32	Toyota	GS 200t	2.0	4	22	32	8
GS 200t F SPORT-2-4-8-21-30	Toyota	GS 200t F SPORT	2.0	4	21	30	8
GS 350-3.5-6-8-20-28	Toyota	GS 350	3.5	6	20	28	8
GS 350 AWD-3.5-6-6-19-26	Toyota	GS 350 AWD	3.5	6	19	26	6
GS 350 F SPORT-3.5-6-8-19-27	Toyota	GS 350 F SPORT	3.5	6	19	27	8
GS 450h-3.5-6-8-29-34	Toyota	GS 450h	3.5	6	29	34	8
LS 460-4.6-8-8-16-24	Toyota	LS 460	4.6	8	16	24	8
LS 460 AWD-4.6-8-8-16-23	Toyota	LS 460 AWD	4.6	8	16	23	8
LS 460 L-4.6-8-8-16-24	Toyota	LS 460 L	4.6	8	16	24	8
LS 460 L AWD-4.6-8-8-16-23	Toyota	LS 460 L AWD	4.6	8	16	23	8
AVALON-3.5-6-6-21-30	Toyota	AVALON	3.5	6	21	30	6
AVALON HYBRID-2.5-4-6-40-39	Toyota	AVALON HYBRID	2.5	4	40	39	6
CAMRY-2.5-4-6-24-33	Toyota	CAMRY	2.5	4	24	33	6
CAMRY-3.5-6-6-21-30	Toyota	CAMRY	3.5	6	21	30	6
CAMRY HYBRID LE-2.5-4-1-42-38	Toyota	CAMRY HYBRID LE	2.5	4	42	38	1
CAMRY HYBRID XLE/SE-2.5-4-1-40-37	Toyota	CAMRY HYBRID XLE/SE	2.5	4	40	37	1
COROLLA-1.8-4-1-28-36	Toyota	COROLLA	1.8	4	28	36	1
COROLLA-1.8-4-7-28-35	Toyota	COROLLA	1.8	4	28	35	7
COROLLA-1.8-4-6-27-35	Toyota	COROLLA	1.8	4	27	35	6
COROLLA iM-1.8-4-7-28-36	Toyota	COROLLA iM	1.8	4	28	36	7
COROLLA iM-1.8-4-6-27-35	Toyota	COROLLA iM	1.8	4	27	35	6
COROLLA LE ECO-1.8-4-1-29-38	Toyota	COROLLA LE ECO	1.8	4	29	38	1
PRIUS-1.8-4-1-54-50	Toyota	PRIUS	1.8	4	54	50	1
PRIUS Eco-1.8-4-1-58-53	Toyota	PRIUS Eco	1.8	4	58	53	1
PRIUS v-1.8-4-1-43-39	Toyota	PRIUS v	1.8	4	43	39	1
TACOMA 2WD-2.7-4-6-19-23	Toyota	TACOMA 2WD	2.7	4	19	23	6
TACOMA 2WD-3.5-6-6-19-24	Toyota	TACOMA 2WD	3.5	6	19	24	6
TACOMA 4WD-2.7-4-6-19-22	Toyota	TACOMA 4WD	2.7	4	19	22	6
TACOMA 4WD-2.7-4-5-19-21	Toyota	TACOMA 4WD	2.7	4	19	21	5
TACOMA 4WD-3.5-6-6-18-23	Toyota	TACOMA 4WD	3.5	6	18	23	6
TACOMA 4WD D-CAB V6 MT OFF-ROAD-3.5-6-6-17-20	Toyota	TACOMA 4WD D-CAB V6 MT OFF-ROAD	3.5	6	17	20	6
TUNDRA 2WD-4.6-8-6-15-19	Toyota	TUNDRA 2WD	4.6	8	15	19	6
TUNDRA 2WD-5.7-8-6-13-18	Toyota	TUNDRA 2WD	5.7	8	13	18	6
TUNDRA 2WD FFV-5.7-8-6-13-18	Toyota	TUNDRA 2WD FFV	5.7	8	13	18	6
TUNDRA 4WD-4.6-8-6-14-18	Toyota	TUNDRA 4WD	4.6	8	14	18	6
TUNDRA 4WD-5.7-8-6-13-17	Toyota	TUNDRA 4WD	5.7	8	13	17	6
TUNDRA 4WD FFV-5.7-8-6-13-17	Toyota	TUNDRA 4WD FFV	5.7	8	13	17	6
SIENNA-3.5-6-8-19-27	Toyota	SIENNA	3.5	6	19	27	8
SIENNA AWD-3.5-6-8-18-24	Toyota	SIENNA AWD	3.5	6	18	24	8
NX 200t-2-4-6-22-28	Toyota	NX 200t	2.0	4	22	28	6
RX 350-3.5-6-8-20-27	Toyota	RX 350	3.5	6	20	27	8
HIGHLANDER-2.7-4-6-20-24	Toyota	HIGHLANDER	2.7	4	20	24	6
HIGHLANDER-3.5-6-8-20-27	Toyota	HIGHLANDER	3.5	6	20	27	8
HIGHLANDER LE/XLE/SE/LTD-3.5-6-8-21-27	Toyota	HIGHLANDER LE/XLE/SE/LTD	3.5	6	21	27	8
RAV4-2.5-4-6-23-29	Toyota	RAV4	2.5	4	23	29	6
RAV4 LE/XLE-2.5-4-6-23-30	Toyota	RAV4 LE/XLE	2.5	4	23	30	6
NX 200t AWD-2-4-6-22-28	Toyota	NX 200t AWD	2.0	4	22	28	6
NX 200t AWD F SPORT-2-4-6-22-27	Toyota	NX 200t AWD F SPORT	2.0	4	22	27	6
NX 300h AWD-2.5-4-6-33-30	Toyota	NX 300h AWD	2.5	4	33	30	6
RX 350 AWD-3.5-6-8-19-26	Toyota	RX 350 AWD	3.5	6	19	26	8
RAV4 AWD-2.5-4-6-22-28	Toyota	RAV4 AWD	2.5	4	22	28	6
RAV4 HYBRID AWD-2.5-4-6-34-30	Toyota	RAV4 HYBRID AWD	2.5	4	34	30	6
RAV4 Limited AWD/SE AWD-2.5-4-6-22-28	Toyota	RAV4 Limited AWD/SE AWD	2.5	4	22	28	6
4RUNNER 2WD-4-6-5-17-21	Toyota	4RUNNER 2WD	4.0	6	17	21	5
SEQUOIA 2WD-5.7-8-6-13-17	Toyota	SEQUOIA 2WD	5.7	8	13	17	6
GX 460-4.6-8-6-15-18	Toyota	GX 460	4.6	8	15	18	6
LX 570-5.7-8-8-13-18	Toyota	LX 570	5.7	8	13	18	8
RX 450h AWD-3.5-6-6-31-28	Toyota	RX 450h AWD	3.5	6	31	28	6
4RUNNER 4WD-4-6-5-17-20	Toyota	4RUNNER 4WD	4.0	6	17	20	5
HIGHLANDER AWD-3.5-6-8-20-26	Toyota	HIGHLANDER AWD	3.5	6	20	26	8
HIGHLANDER AWD LE-3.5-6-8-20-27	Toyota	HIGHLANDER AWD LE	3.5	6	20	27	8
HIGHLANDER HYBRID AWD-3.5-6-6-29-27	Toyota	HIGHLANDER HYBRID AWD	3.5	6	29	27	6
HIGHLANDER HYBRID AWD LE Plus-3.5-6-6-30-28	Toyota	HIGHLANDER HYBRID AWD LE Plus	3.5	6	30	28	6
LAND CRUISER WAGON 4WD-5.7-8-8-13-18	Toyota	LAND CRUISER WAGON 4WD	5.7	8	13	18	8
SEQUOIA 4WD-5.7-8-6-13-17	Toyota	SEQUOIA 4WD	5.7	8	13	17	6
SEQUOIA 4WD FFV-5.7-8-6-13-17	Toyota	SEQUOIA 4WD FFV	5.7	8	13	17	6

Compute Distances

car_diffs <- dist(toyota %>% select(-make, -model))

View(as.matrix(car_diffs))

Some of the Matrix

	86-2-4-6-24-32	RC 200t-2-4-8-22-32	RC 300 AWD-3.5-6-6-19-26	RC 350-3.5-6-8-19-28	RC 350 AWD-3.5-6-6-19-26	RC F-5-8-8-16-25	YARIS iA-1.5-4-6-32-40	CT 200h-1.8-4-1-43-40	GS F-5-8-8-16-24	IS 200t-2-4-8-22-32	IS 300 AWD-3.5-6-6-19-26	IS 350-3.5-6-8-19-28	IS 350 AWD-3.5-6-6-19-26	PRIUS c-1.5-4-1-48-43	YARIS-1.5-4-4-30-35	YARIS-1.5-4-5-30-36	ES 300h-2.5-4-6-40-39	ES 350-3.5-6-6-21-30	GS 200t-2-4-8-22-32	GS 200t F SPORT-2-4-8-21-30	GS 350-3.5-6-8-20-28	GS 350 AWD-3.5-6-6-19-26	GS 350 F SPORT-3.5-6-8-19-27	GS 450h-3.5-6-8-29-34	LS 460-4.6-8-8-16-24	LS 460 AWD-4.6-8-8-16-23	LS 460 L-4.6-8-8-16-24	LS 460 L AWD-4.6-8-8-16-23	AVALON-3.5-6-6-21-30	AVALON HYBRID-2.5-4-6-40-39	CAMRY-2.5-4-6-24-33	CAMRY-3.5-6-6-21-30	CAMRY HYBRID LE-2.5-4-1-42-38	CAMRY HYBRID XLE/SE-2.5-4-1-40-37	COROLLA-1.8-4-1-28-36	COROLLA-1.8-4-7-28-35	COROLLA-1.8-4-6-27-35	COROLLA iM-1.8-4-7-28-36	COROLLA iM-1.8-4-6-27-35	COROLLA LE ECO-1.8-4-1-29-38	PRIUS-1.8-4-1-54-50	PRIUS Eco-1.8-4-1-58-53	PRIUS v-1.8-4-1-43-39	TACOMA 2WD-2.7-4-6-19-23	TACOMA 2WD-3.5-6-6-19-24	TACOMA 4WD-2.7-4-6-19-22	TACOMA 4WD-2.7-4-5-19-21	TACOMA 4WD-3.5-6-6-18-23	TACOMA 4WD D-CAB V6 MT OFF-ROAD-3.5-6-6-17-20	TUNDRA 2WD-4.6-8-6-15-19	TUNDRA 2WD-5.7-8-6-13-18	TUNDRA 2WD FFV-5.7-8-6-13-18	TUNDRA 4WD-4.6-8-6-14-18	TUNDRA 4WD-5.7-8-6-13-17	TUNDRA 4WD FFV-5.7-8-6-13-17	SIENNA-3.5-6-8-19-27	SIENNA AWD-3.5-6-8-18-24	NX 200t-2-4-6-22-28	RX 350-3.5-6-8-20-27	HIGHLANDER-2.7-4-6-20-24	HIGHLANDER-3.5-6-8-20-27	HIGHLANDER LE/XLE/SE/LTD-3.5-6-8-21-27	RAV4-2.5-4-6-23-29	RAV4 LE/XLE-2.5-4-6-23-30	NX 200t AWD-2-4-6-22-28	NX 200t AWD F SPORT-2-4-6-22-27	NX 300h AWD-2.5-4-6-33-30	RX 350 AWD-3.5-6-8-19-26	RAV4 AWD-2.5-4-6-22-28	RAV4 HYBRID AWD-2.5-4-6-34-30	RAV4 Limited AWD/SE AWD-2.5-4-6-22-28	4RUNNER 2WD-4-6-5-17-21	SEQUOIA 2WD-5.7-8-6-13-17	GX 460-4.6-8-6-15-18	LX 570-5.7-8-8-13-18	RX 450h AWD-3.5-6-6-31-28	4RUNNER 4WD-4-6-5-17-20	HIGHLANDER AWD-3.5-6-8-20-26	HIGHLANDER AWD LE-3.5-6-8-20-27	HIGHLANDER HYBRID AWD-3.5-6-6-29-27	HIGHLANDER HYBRID AWD LE Plus-3.5-6-6-30-28	LAND CRUISER WAGON 4WD-5.7-8-8-13-18	SEQUOIA 4WD-5.7-8-6-13-17	SEQUOIA 4WD FFV-5.7-8-6-13-17
86-2-4-6-24-32	0.000000	2.828427	8.200610	7.158911	8.200610	11.916375	11.324752	21.214146	12.529964	2.828427	8.200610	7.158911	8.200610	26.874709	7.017834	7.297260	17.471405	4.387482	2.828427	4.123106	6.500000	8.200610	7.762087	6.264982	12.440257	13.105724	12.440257	13.105724	4.387482	17.471405	1.118034	4.387482	19.627786	17.500000	7.552483	5.102940	4.247352	5.748043	4.247352	9.275775	35.341760	40.27456	20.857612	10.319399	9.759611	11.202232	12.144546	11.101802	14.115594	16.515447	18.619613	18.619613	17.853851	19.382724	19.382724	7.762087	10.500000	4.472136	7.158911	8.971622	7.158911	6.652067	3.201562	2.291288	4.472136	5.385165	9.233093	8.440971	4.500000	10.210289	4.500000	13.379088	19.382724	17.313578	18.726719	8.440971	14.212670	7.889867	7.158911	7.500000	7.632169	18.726719	19.382724	19.382724
RC 200t-2-4-8-22-32	2.828427	0.000000	7.433034	5.590170	7.433034	10.488088	12.971122	23.538054	11.180340	0.000000	7.433034	5.590170	7.433034	29.090376	9.447222	9.447222	19.422925	3.905125	0.000000	2.236068	5.123475	7.433034	6.344289	7.697402	11.079711	11.822013	11.079711	11.822013	3.905125	19.422925	3.041381	3.905125	22.028391	19.956202	10.051865	6.785278	6.167658	7.282857	6.167658	11.577564	37.376998	42.26157	23.217235	9.720597	9.124144	10.653168	11.810588	10.356158	13.388428	15.644807	17.626401	17.626401	16.933989	18.430681	18.430681	6.344289	9.287088	4.472136	5.937171	8.514106	5.937171	5.678908	3.774917	3.041381	4.472136	5.385165	11.368817	7.158911	4.500000	12.338963	4.500000	12.767145	18.430681	16.485145	17.512567	10.356158	13.638182	6.800735	5.937171	9.178780	9.500000	17.512567	18.430681	18.430681
RC 300 AWD-3.5-6-6-19-26	8.200610	7.433034	0.000000	2.828427	0.000000	4.500000	19.313208	28.352954	4.821825	7.433034	0.000000	2.828427	0.000000	34.102786	14.628739	15.165751	24.799194	4.472136	7.433034	5.500000	3.000000	0.000000	2.236068	12.961481	4.712749	5.216321	4.712749	5.216321	4.472136	24.799194	8.888194	4.472136	26.514147	24.331050	14.590751	13.034186	12.324366	13.743726	12.324366	16.609937	42.812265	47.76913	27.872747	3.693237	2.000000	4.543127	5.535341	3.162278	6.324555	8.379141	10.432641	10.432641	9.706184	11.217843	11.217843	2.236068	3.000000	4.387482	2.449490	3.104835	2.449490	3.000000	5.477226	6.082763	4.387482	4.031129	14.730920	2.000000	4.242641	15.684387	4.242641	5.500000	11.217843	9.230926	10.622617	12.165525	6.422616	2.236068	2.449490	10.049876	11.180340	10.622617	11.217843	11.217843
RC 350-3.5-6-8-19-28	7.158911	5.590170	2.828427	0.000000	2.828427	4.924429	18.027756	27.854802	5.590170	5.590170	2.828427	0.000000	2.828427	33.511192	13.928388	14.212670	23.895606	3.464102	5.590170	3.774917	1.000000	2.828427	1.000000	11.661904	5.496362	6.261789	5.496362	6.261789	3.464102	23.895606	7.681146	3.464102	26.134269	24.000000	14.173567	11.742657	11.130588	12.364870	11.130588	15.996562	42.010594	46.92430	27.438841	5.800000	4.472136	6.681317	7.914544	5.477226	8.485281	10.305824	12.200000	12.200000	11.584904	13.032268	13.032268	1.000000	4.123106	4.387482	1.414214	5.063596	1.414214	2.236068	5.099019	5.385165	4.387482	4.500000	14.456832	2.000000	4.242641	15.427249	4.242641	7.889867	13.032268	11.189727	12.034949	12.165525	8.789198	2.236068	1.414214	10.246951	11.180340	12.034949	13.032268	13.032268
RC 350 AWD-3.5-6-6-19-26	8.200610	7.433034	0.000000	2.828427	0.000000	4.500000	19.313208	28.352954	4.821825	7.433034	0.000000	2.828427	0.000000	34.102786	14.628739	15.165751	24.799194	4.472136	7.433034	5.500000	3.000000	0.000000	2.236068	12.961481	4.712749	5.216321	4.712749	5.216321	4.472136	24.799194	8.888194	4.472136	26.514147	24.331050	14.590751	13.034186	12.324366	13.743726	12.324366	16.609937	42.812265	47.76913	27.872747	3.693237	2.000000	4.543127	5.535341	3.162278	6.324555	8.379141	10.432641	10.432641	9.706184	11.217843	11.217843	2.236068	3.000000	4.387482	2.449490	3.104835	2.449490	3.000000	5.477226	6.082763	4.387482	4.031129	14.730920	2.000000	4.242641	15.684387	4.242641	5.500000	11.217843	9.230926	10.622617	12.165525	6.422616	2.236068	2.449490	10.049876	11.180340	10.622617	11.217843	11.217843
RC F-5-8-8-16-25	11.916375	10.488088	4.500000	4.924429	4.500000	0.000000	22.655022	32.081770	1.000000	10.488088	4.500000	4.924429	4.500000	37.752483	18.445867	18.821530	28.253318	7.762087	10.488088	8.660254	5.590170	4.500000	4.387482	16.007811	1.077033	2.039608	1.077033	2.039608	7.762087	28.253318	12.419742	7.762087	30.269622	28.129166	18.445596	16.469365	15.850552	17.095029	15.850552	20.328305	46.305939	51.21758	31.626571	6.187891	4.500000	6.579514	7.435725	4.272002	6.020797	6.415606	7.905062	7.905062	7.560423	8.802841	8.802841	4.387482	3.354102	8.602325	5.123475	6.503076	5.123475	5.937171	9.552487	10.012492	8.602325	8.306624	18.445867	4.031129	8.440971	19.371371	8.440971	5.567764	8.802841	7.359348	7.647875	15.628500	6.324555	4.821825	5.123475	13.536986	14.671401	7.647875	8.802841	8.802841
YARIS iA-1.5-4-6-32-40	11.324752	12.971122	19.313208	18.027756	19.313208	22.655022	0.000000	12.086770	23.329166	12.971122	19.313208	18.027756	19.313208	17.029386	5.744563	4.582576	8.124038	15.132746	12.971122	15.008331	17.320508	19.313208	18.708287	7.549834	23.272516	23.971024	23.272516	23.971024	15.132746	8.124038	10.677078	15.132746	11.401754	9.949874	7.555792	6.487681	7.077429	5.752391	7.077429	6.171710	24.679749	29.49729	12.128067	21.434552	20.808652	22.236007	23.074661	22.203603	25.159491	27.488361	29.641862	29.641862	28.872305	30.391446	30.391446	18.708287	21.540659	15.628500	18.027756	20.035968	18.027756	17.378147	14.247807	13.490738	15.628500	16.408839	10.099505	19.416488	15.652476	10.246951	15.652476	24.438699	30.391446	28.259689	29.709258	12.369317	25.223996	18.761663	18.027756	13.638182	12.489996	29.709258	30.391446	30.391446
CT 200h-1.8-4-1-43-40	21.214146	23.538054	28.352954	27.854802	28.352954	32.081770	12.086770	0.000000	32.561327	23.538054	28.352954	27.854802	28.352954	5.838664	14.250965	14.180621	5.957348	24.817131	23.538054	25.160286	26.997963	28.352954	28.300000	16.967322	32.524452	33.027867	32.524452	33.027867	24.817131	5.957348	20.868397	24.817131	2.343075	4.300000	15.524175	16.911534	17.492856	16.643317	17.492856	14.142136	14.866069	19.84943	1.000000	29.846440	29.392006	30.427126	30.883814	30.755325	33.284982	35.690895	37.950099	37.950099	37.065348	38.538422	38.538422	28.300000	30.608659	24.698988	27.457057	28.474726	27.457057	26.624988	23.377126	22.923569	24.698988	25.200000	15.016324	28.773078	24.708096	14.369760	24.708096	32.585887	38.538422	36.288290	38.264997	17.885469	33.178909	27.944409	27.457057	19.922098	18.571214	38.264997	38.538422	38.538422
GS F-5-8-8-16-24	12.529964	11.180340	4.821825	5.590170	4.821825	1.000000	23.329166	32.561327	0.000000	11.180340	4.821825	5.590170	4.821825	38.239378	19.006578	19.422925	28.761954	8.440971	11.180340	9.273618	6.184658	4.821825	4.924429	16.590660	0.400000	1.077033	0.400000	1.077033	8.440971	28.761954	13.086252	8.440971	30.712375	28.570089	19.058856	17.095029	16.499697	17.754999	16.499697	20.981897	46.853388	51.77103	32.081770	5.940539	4.387482	6.187891	6.949101	3.905125	5.220153	5.491812	7.034913	7.034913	6.645299	7.905062	7.905062	4.924429	3.201562	9.000000	5.590170	6.425730	5.590170	6.344289	10.012492	10.547512	9.000000	8.602325	18.741665	4.387482	8.845903	19.653244	8.845903	4.898980	7.905062	6.415606	6.744627	15.850867	5.567764	5.123475	5.590170	13.720423	14.908051	6.744627	7.905062	7.905062
IS 200t-2-4-8-22-32	2.828427	0.000000	7.433034	5.590170	7.433034	10.488088	12.971122	23.538054	11.180340	0.000000	7.433034	5.590170	7.433034	29.090376	9.447222	9.447222	19.422925	3.905125	0.000000	2.236068	5.123475	7.433034	6.344289	7.697402	11.079711	11.822013	11.079711	11.822013	3.905125	19.422925	3.041381	3.905125	22.028391	19.956202	10.051865	6.785278	6.167658	7.282857	6.167658	11.577564	37.376998	42.26157	23.217235	9.720597	9.124144	10.653168	11.810588	10.356158	13.388428	15.644807	17.626401	17.626401	16.933989	18.430681	18.430681	6.344289	9.287088	4.472136	5.937171	8.514106	5.937171	5.678908	3.774917	3.041381	4.472136	5.385165	11.368817	7.158911	4.500000	12.338963	4.500000	12.767145	18.430681	16.485145	17.512567	10.356158	13.638182	6.800735	5.937171	9.178780	9.500000	17.512567	18.430681	18.430681
IS 300 AWD-3.5-6-6-19-26	8.200610	7.433034	0.000000	2.828427	0.000000	4.500000	19.313208	28.352954	4.821825	7.433034	0.000000	2.828427	0.000000	34.102786	14.628739	15.165751	24.799194	4.472136	7.433034	5.500000	3.000000	0.000000	2.236068	12.961481	4.712749	5.216321	4.712749	5.216321	4.472136	24.799194	8.888194	4.472136	26.514147	24.331050	14.590751	13.034186	12.324366	13.743726	12.324366	16.609937	42.812265	47.76913	27.872747	3.693237	2.000000	4.543127	5.535341	3.162278	6.324555	8.379141	10.432641	10.432641	9.706184	11.217843	11.217843	2.236068	3.000000	4.387482	2.449490	3.104835	2.449490	3.000000	5.477226	6.082763	4.387482	4.031129	14.730920	2.000000	4.242641	15.684387	4.242641	5.500000	11.217843	9.230926	10.622617	12.165525	6.422616	2.236068	2.449490	10.049876	11.180340	10.622617	11.217843	11.217843
IS 350-3.5-6-8-19-28	7.158911	5.590170	2.828427	0.000000	2.828427	4.924429	18.027756	27.854802	5.590170	5.590170	2.828427	0.000000	2.828427	33.511192	13.928388	14.212670	23.895606	3.464102	5.590170	3.774917	1.000000	2.828427	1.000000	11.661904	5.496362	6.261789	5.496362	6.261789	3.464102	23.895606	7.681146	3.464102	26.134269	24.000000	14.173567	11.742657	11.130588	12.364870	11.130588	15.996562	42.010594	46.92430	27.438841	5.800000	4.472136	6.681317	7.914544	5.477226	8.485281	10.305824	12.200000	12.200000	11.584904	13.032268	13.032268	1.000000	4.123106	4.387482	1.414214	5.063596	1.414214	2.236068	5.099019	5.385165	4.387482	4.500000	14.456832	2.000000	4.242641	15.427249	4.242641	7.889867	13.032268	11.189727	12.034949	12.165525	8.789198	2.236068	1.414214	10.246951	11.180340	12.034949	13.032268	13.032268
IS 350 AWD-3.5-6-6-19-26	8.200610	7.433034	0.000000	2.828427	0.000000	4.500000	19.313208	28.352954	4.821825	7.433034	0.000000	2.828427	0.000000	34.102786	14.628739	15.165751	24.799194	4.472136	7.433034	5.500000	3.000000	0.000000	2.236068	12.961481	4.712749	5.216321	4.712749	5.216321	4.472136	24.799194	8.888194	4.472136	26.514147	24.331050	14.590751	13.034186	12.324366	13.743726	12.324366	16.609937	42.812265	47.76913	27.872747	3.693237	2.000000	4.543127	5.535341	3.162278	6.324555	8.379141	10.432641	10.432641	9.706184	11.217843	11.217843	2.236068	3.000000	4.387482	2.449490	3.104835	2.449490	3.000000	5.477226	6.082763	4.387482	4.031129	14.730920	2.000000	4.242641	15.684387	4.242641	5.500000	11.217843	9.230926	10.622617	12.165525	6.422616	2.236068	2.449490	10.049876	11.180340	10.622617	11.217843	11.217843
PRIUS c-1.5-4-1-48-43	26.874709	29.090376	34.102786	33.511192	34.102786	37.752483	17.029386	5.838664	38.239378	29.090376	34.102786	33.511192	34.102786	0.000000	19.924859	19.723083	10.295630	30.512293	29.090376	30.777427	32.649655	34.102786	33.970576	22.338308	38.204843	38.711884	38.204843	38.711884	30.512293	10.295630	26.495283	30.512293	7.874008	10.049876	21.191744	22.362692	23.023684	22.024759	23.023684	19.649173	9.224424	14.14532	6.410148	35.601124	35.142567	36.172365	36.639323	36.510272	39.025633	41.419923	43.687985	43.687985	42.797313	44.267821	44.267821	33.970576	36.304270	30.434356	33.120990	34.226306	33.120990	32.280025	29.103264	28.635642	30.434356	30.939457	20.493901	34.452866	30.446675	19.773720	30.446675	38.356877	44.267821	42.007261	43.961802	23.388031	38.939055	33.615473	33.120990	25.495098	24.124676	43.961802	44.267821	44.267821
YARIS-1.5-4-4-30-35	7.017834	9.447222	14.628739	13.928388	14.628739	18.445867	5.744563	14.250965	19.006578	9.447222	14.628739	13.928388	14.628739	19.924859	0.000000	1.414214	11.000000	10.862780	9.447222	11.056672	13.152946	14.628739	14.456832	5.099019	18.937001	19.534841	18.937001	19.534841	10.862780	11.000000	6.708204	10.862780	12.767145	10.677078	3.753665	3.618011	3.618011	3.753665	3.618011	4.369211	28.462080	33.42290	13.931619	16.445060	15.937378	17.188368	17.872885	17.320508	20.149442	22.596681	24.812094	24.812094	23.971024	25.507646	25.507646	14.456832	17.000000	10.828204	13.711309	15.047923	13.711309	13.000000	9.486833	8.888194	10.828204	11.500000	6.244998	15.033296	10.862780	6.782330	10.862780	19.397165	25.507646	23.315445	25.052744	7.874008	20.130822	14.317821	13.711309	8.774964	7.810250	25.052744	25.507646	25.507646
YARIS-1.5-4-5-30-36	7.297260	9.447222	15.165751	14.212670	15.165751	18.821530	4.582576	14.180621	19.422925	9.447222	15.165751	14.212670	15.165751	19.723083	1.414214	0.000000	10.535654	11.224972	9.447222	11.236102	13.453624	15.165751	14.798649	4.690416	19.354844	19.990248	19.354844	19.990248	11.224972	10.535654	6.855655	11.224972	12.845233	10.862780	4.482187	3.014963	3.330165	2.844292	3.330165	4.592385	28.072941	33.00136	13.931619	17.100877	16.552945	17.872885	18.639743	17.944358	20.832667	23.251022	25.448772	25.448772	24.629454	26.165626	26.165626	14.798649	17.464249	11.368817	14.071247	15.698408	14.071247	13.379088	10.000000	9.327379	11.368817	12.093387	6.855655	15.427249	11.401754	7.348469	11.401754	20.105969	26.165626	23.991874	25.605468	8.602325	20.862646	14.730920	14.071247	9.539392	8.544004	25.605468	26.165626	26.165626
ES 300h-2.5-4-6-40-39	17.471405	19.422925	24.799194	23.895606	24.799194	28.253318	8.124038	5.957348	28.761954	19.422925	24.799194	23.895606	24.799194	10.295630	11.000000	10.535654	0.000000	21.142374	19.422925	21.124630	23.021729	24.799194	24.372115	12.449900	28.729950	29.264484	28.729950	29.264484	21.142374	0.000000	17.088007	21.142374	5.477226	5.385165	13.360015	12.707872	13.619471	12.429401	13.619471	12.144546	18.506485	23.35573	5.872819	26.401515	25.903668	27.019252	27.677428	27.294688	29.916551	32.332801	34.586703	34.586703	33.725510	35.202841	35.202841	24.372115	26.795522	21.100948	23.515952	25.000800	23.515952	22.671568	19.723083	19.235384	21.100948	21.639085	11.401754	24.879711	21.095023	10.816654	21.095023	29.330019	35.202841	32.960734	34.644480	14.387495	29.954132	24.041631	23.515952	16.431677	15.033296	34.644480	35.202841	35.202841
ES 350-3.5-6-6-21-30	4.387482	3.905125	4.472136	3.464102	4.472136	7.762087	15.132746	24.817131	8.440971	3.905125	4.472136	3.464102	4.472136	30.512293	10.862780	11.224972	21.142374	0.000000	3.905125	3.201562	3.000000	4.472136	4.123106	9.165151	8.379141	9.121951	8.379141	9.121951	0.000000	21.142374	4.795832	0.000000	23.130067	20.976177	10.811568	9.049309	8.239539	9.637946	8.239539	12.644762	38.998590	43.93051	24.431332	7.592101	6.324555	8.522910	9.520504	7.615773	10.770330	12.736169	14.725488	14.725488	14.078707	15.551206	15.551206	4.123106	7.000000	3.354102	3.741657	6.452906	3.741657	3.605551	3.162278	3.000000	3.354102	4.031129	12.206556	4.898980	3.162278	13.190906	3.162278	9.912114	15.551206	13.609188	14.860686	10.198039	10.828204	4.582576	3.741657	8.544004	9.219544	14.860686	15.551206	15.551206
GS 200t-2-4-8-22-32	2.828427	0.000000	7.433034	5.590170	7.433034	10.488088	12.971122	23.538054	11.180340	0.000000	7.433034	5.590170	7.433034	29.090376	9.447222	9.447222	19.422925	3.905125	0.000000	2.236068	5.123475	7.433034	6.344289	7.697402	11.079711	11.822013	11.079711	11.822013	3.905125	19.422925	3.041381	3.905125	22.028391	19.956202	10.051865	6.785278	6.167658	7.282857	6.167658	11.577564	37.376998	42.26157	23.217235	9.720597	9.124144	10.653168	11.810588	10.356158	13.388428	15.644807	17.626401	17.626401	16.933989	18.430681	18.430681	6.344289	9.287088	4.472136	5.937171	8.514106	5.937171	5.678908	3.774917	3.041381	4.472136	5.385165	11.368817	7.158911	4.500000	12.338963	4.500000	12.767145	18.430681	16.485145	17.512567	10.356158	13.638182	6.800735	5.937171	9.178780	9.500000	17.512567	18.430681	18.430681
GS 200t F SPORT-2-4-8-21-30	4.123106	2.236068	5.500000	3.774917	5.500000	8.660254	15.008331	25.160286	9.273618	2.236068	5.500000	3.774917	5.500000	30.777427	11.056672	11.236102	21.124630	3.201562	2.236068	0.000000	3.354102	5.500000	4.387482	9.287088	9.152049	9.836666	9.152049	9.836666	3.201562	21.124630	4.716991	3.201562	23.542515	21.430119	11.577564	8.662563	8.064738	9.275775	8.064738	13.305638	39.217853	44.12528	24.779830	7.582216	7.088723	8.514106	9.720597	8.261356	11.236102	13.555811	15.546382	15.546382	14.824304	16.330646	16.330646	4.387482	7.158911	3.000000	4.031129	6.441273	4.031129	3.905125	3.041381	2.872281	3.000000	3.741657	12.175796	5.123475	3.041381	13.162447	3.041381	10.677078	16.330646	14.379152	15.417198	10.688779	11.532563	4.821825	4.031129	9.124144	9.759611	15.417198	16.330646	16.330646
GS 350-3.5-6-8-20-28	6.500000	5.123475	3.000000	1.000000	3.000000	5.590170	17.320508	26.997963	6.184658	5.123475	3.000000	1.000000	3.000000	32.649655	13.152946	13.453624	23.021729	3.000000	5.123475	3.354102	0.000000	3.000000	1.414214	10.816654	6.100000	6.797794	6.100000	6.797794	3.000000	23.021729	7.071068	3.000000	25.258662	23.130067	13.560605	10.994999	10.435037	11.657187	10.435037	15.391231	41.181185	46.09653	26.568590	5.885576	4.582576	6.755738	7.977468	5.744563	8.774964	10.733592	12.721635	12.721635	12.050311	13.521834	13.521834	1.414214	4.472136	3.774917	1.000000	4.963870	1.000000	1.414214	4.358899	4.690416	3.774917	3.905125	13.490738	2.236068	3.605551	14.456832	3.605551	8.200610	13.521834	11.584904	12.563439	11.180340	9.069179	2.000000	1.000000	9.273618	10.198039	12.563439	13.521834	13.521834
GS 350 AWD-3.5-6-6-19-26	8.200610	7.433034	0.000000	2.828427	0.000000	4.500000	19.313208	28.352954	4.821825	7.433034	0.000000	2.828427	0.000000	34.102786	14.628739	15.165751	24.799194	4.472136	7.433034	5.500000	3.000000	0.000000	2.236068	12.961481	4.712749	5.216321	4.712749	5.216321	4.472136	24.799194	8.888194	4.472136	26.514147	24.331050	14.590751	13.034186	12.324366	13.743726	12.324366	16.609937	42.812265	47.76913	27.872747	3.693237	2.000000	4.543127	5.535341	3.162278	6.324555	8.379141	10.432641	10.432641	9.706184	11.217843	11.217843	2.236068	3.000000	4.387482	2.449490	3.104835	2.449490	3.000000	5.477226	6.082763	4.387482	4.031129	14.730920	2.000000	4.242641	15.684387	4.242641	5.500000	11.217843	9.230926	10.622617	12.165525	6.422616	2.236068	2.449490	10.049876	11.180340	10.622617	11.217843	11.217843
GS 350 F SPORT-3.5-6-8-19-27	7.762087	6.344289	2.236068	1.000000	2.236068	4.387482	18.708287	28.300000	4.924429	6.344289	2.236068	1.000000	2.236068	33.970576	14.456832	14.798649	24.372115	4.123106	6.344289	4.387482	1.414214	2.236068	0.000000	12.206556	4.817676	5.496362	4.817676	5.496362	4.123106	24.372115	8.366600	4.123106	26.532998	24.392622	14.761097	12.364870	11.785160	13.034186	11.785160	16.640012	42.542802	47.46462	27.854802	4.963870	3.605551	5.800000	7.045566	4.582576	7.549834	9.445105	11.394736	11.394736	10.733592	12.200000	12.200000	0.000000	3.162278	4.500000	1.000000	4.317407	1.000000	2.000000	5.385165	5.830952	4.500000	4.387482	14.628739	1.000000	4.358899	15.588457	4.358899	7.017834	12.200000	10.305824	11.217843	12.206556	7.889867	1.414214	1.000000	10.198039	11.224972	11.217843	12.200000	12.200000
GS 450h-3.5-6-8-29-34	6.264982	7.697402	12.961481	11.661904	12.961481	16.007811	7.549834	16.967322	16.590660	7.697402	12.961481	11.661904	12.961481	22.338308	5.099019	4.690416	12.449900	9.165151	7.697402	9.287088	10.816654	12.961481	12.206556	0.000000	16.559287	17.181676	16.559287	17.181676	9.165151	12.449900	5.916080	9.165151	15.459625	13.564660	7.803204	3.144837	3.986226	3.590265	3.986226	8.478797	30.608659	35.46675	16.640012	15.153877	14.282857	15.894653	16.811901	15.684387	18.547237	20.741504	22.909387	22.909387	22.140687	23.618637	23.618637	12.206556	14.866069	9.759611	11.401754	13.770984	11.401754	10.630146	8.366600	7.810250	9.759611	10.404326	6.403124	12.806249	9.695360	7.071068	9.695360	17.951323	23.618637	21.475800	22.821919	6.633250	18.688232	12.041595	11.401754	7.280110	6.403124	22.821919	23.618637	23.618637
LS 460-4.6-8-8-16-24	12.440257	11.079711	4.712749	5.496362	4.712749	1.077033	23.272516	32.524452	0.400000	11.079711	4.712749	5.496362	4.712749	38.204843	18.937001	19.354844	28.729950	8.379141	11.079711	9.152049	6.100000	4.712749	4.817676	16.559287	0.000000	1.000000	0.000000	1.000000	8.379141	28.729950	13.015760	8.379141	30.682405	28.537870	18.995789	17.024688	16.426807	17.687284	16.426807	20.924627	46.827770	51.74785	32.044344	5.797413	4.267318	6.050620	6.827152	3.769615	5.119570	5.477226	7.085902	7.085902	6.633250	7.950472	7.950472	4.817676	3.034798	8.874683	5.496362	6.293648	5.496362	6.261789	9.920181	10.459924	8.874683	8.471127	18.692512	4.267318	8.741281	19.606376	8.741281	4.833218	7.950472	6.403124	6.797794	15.818028	5.509991	5.020956	5.496362	13.682471	14.873130	6.797794	7.950472	7.950472
LS 460 AWD-4.6-8-8-16-23	13.105724	11.822013	5.216321	6.261789	5.216321	2.039608	23.971024	33.027867	1.077033	11.822013	5.216321	6.261789	5.216321	38.711884	19.534841	19.990248	29.264484	9.121951	11.822013	9.836666	6.797794	5.216321	5.496362	17.181676	1.000000	0.000000	1.000000	0.000000	9.121951	29.264484	13.726252	9.121951	31.151405	29.007068	19.642810	17.687284	17.112568	18.380424	17.112568	21.606480	47.390294	52.31482	32.524452	5.710517	4.382921	5.797413	6.450581	3.634556	4.382921	4.582576	6.261789	6.261789	5.744563	7.085902	7.085902	5.496362	3.195309	9.368031	6.100000	6.372598	6.100000	6.797794	10.459924	11.063905	9.368031	8.874683	19.037069	4.817676	9.241753	19.935145	9.241753	4.284857	7.085902	5.477226	5.933802	16.100000	4.833218	5.496362	6.100000	13.935925	15.172673	5.933802	7.085902	7.085902
LS 460 L-4.6-8-8-16-24	12.440257	11.079711	4.712749	5.496362	4.712749	1.077033	23.272516	32.524452	0.400000	11.079711	4.712749	5.496362	4.712749	38.204843	18.937001	19.354844	28.729950	8.379141	11.079711	9.152049	6.100000	4.712749	4.817676	16.559287	0.000000	1.000000	0.000000	1.000000	8.379141	28.729950	13.015760	8.379141	30.682405	28.537870	18.995789	17.024688	16.426807	17.687284	16.426807	20.924627	46.827770	51.74785	32.044344	5.797413	4.267318	6.050620	6.827152	3.769615	5.119570	5.477226	7.085902	7.085902	6.633250	7.950472	7.950472	4.817676	3.034798	8.874683	5.496362	6.293648	5.496362	6.261789	9.920181	10.459924	8.874683	8.471127	18.692512	4.267318	8.741281	19.606376	8.741281	4.833218	7.950472	6.403124	6.797794	15.818028	5.509991	5.020956	5.496362	13.682471	14.873130	6.797794	7.950472	7.950472
LS 460 L AWD-4.6-8-8-16-23	13.105724	11.822013	5.216321	6.261789	5.216321	2.039608	23.971024	33.027867	1.077033	11.822013	5.216321	6.261789	5.216321	38.711884	19.534841	19.990248	29.264484	9.121951	11.822013	9.836666	6.797794	5.216321	5.496362	17.181676	1.000000	0.000000	1.000000	0.000000	9.121951	29.264484	13.726252	9.121951	31.151405	29.007068	19.642810	17.687284	17.112568	18.380424	17.112568	21.606480	47.390294	52.31482	32.524452	5.710517	4.382921	5.797413	6.450581	3.634556	4.382921	4.582576	6.261789	6.261789	5.744563	7.085902	7.085902	5.496362	3.195309	9.368031	6.100000	6.372598	6.100000	6.797794	10.459924	11.063905	9.368031	8.874683	19.037069	4.817676	9.241753	19.935145	9.241753	4.284857	7.085902	5.477226	5.933802	16.100000	4.833218	5.496362	6.100000	13.935925	15.172673	5.933802	7.085902	7.085902
AVALON-3.5-6-6-21-30	4.387482	3.905125	4.472136	3.464102	4.472136	7.762087	15.132746	24.817131	8.440971	3.905125	4.472136	3.464102	4.472136	30.512293	10.862780	11.224972	21.142374	0.000000	3.905125	3.201562	3.000000	4.472136	4.123106	9.165151	8.379141	9.121951	8.379141	9.121951	0.000000	21.142374	4.795832	0.000000	23.130067	20.976177	10.811568	9.049309	8.239539	9.637946	8.239539	12.644762	38.998590	43.93051	24.431332	7.592101	6.324555	8.522910	9.520504	7.615773	10.770330	12.736169	14.725488	14.725488	14.078707	15.551206	15.551206	4.123106	7.000000	3.354102	3.741657	6.452906	3.741657	3.605551	3.162278	3.000000	3.354102	4.031129	12.206556	4.898980	3.162278	13.190906	3.162278	9.912114	15.551206	13.609188	14.860686	10.198039	10.828204	4.582576	3.741657	8.544004	9.219544	14.860686	15.551206	15.551206
AVALON HYBRID-2.5-4-6-40-39	17.471405	19.422925	24.799194	23.895606	24.799194	28.253318	8.124038	5.957348	28.761954	19.422925	24.799194	23.895606	24.799194	10.295630	11.000000	10.535654	0.000000	21.142374	19.422925	21.124630	23.021729	24.799194	24.372115	12.449900	28.729950	29.264484	28.729950	29.264484	21.142374	0.000000	17.088007	21.142374	5.477226	5.385165	13.360015	12.707872	13.619471	12.429401	13.619471	12.144546	18.506485	23.35573	5.872819	26.401515	25.903668	27.019252	27.677428	27.294688	29.916551	32.332801	34.586703	34.586703	33.725510	35.202841	35.202841	24.372115	26.795522	21.100948	23.515952	25.000800	23.515952	22.671568	19.723083	19.235384	21.100948	21.639085	11.401754	24.879711	21.095023	10.816654	21.095023	29.330019	35.202841	32.960734	34.644480	14.387495	29.954132	24.041631	23.515952	16.431677	15.033296	34.644480	35.202841	35.202841
CAMRY-2.5-4-6-24-33	1.118034	3.041381	8.888194	7.681146	8.888194	12.419742	10.677078	20.868397	13.086252	3.041381	8.888194	7.681146	8.888194	26.495283	6.708204	6.855655	17.088007	4.795832	3.041381	4.716991	7.071068	8.888194	8.366600	5.916080	13.015760	13.726252	13.015760	13.726252	4.795832	17.088007	0.000000	4.795832	19.339080	17.233688	7.105632	4.635731	3.672874	5.146844	3.672874	8.688498	34.849534	39.76795	20.554561	11.182129	10.535654	12.084701	13.039939	11.874342	14.933184	17.245579	19.293522	19.293522	18.585209	20.080837	20.080837	8.366600	11.224972	5.408327	7.810250	9.850888	7.810250	7.348469	4.123106	3.162278	5.408327	6.344289	9.486833	9.110434	5.385165	10.440307	5.385165	14.150972	20.080837	18.066820	19.396907	8.888194	15.008331	8.602325	7.810250	8.124038	8.124038	19.396907	20.080837	20.080837
CAMRY-3.5-6-6-21-30	4.387482	3.905125	4.472136	3.464102	4.472136	7.762087	15.132746	24.817131	8.440971	3.905125	4.472136	3.464102	4.472136	30.512293	10.862780	11.224972	21.142374	0.000000	3.905125	3.201562	3.000000	4.472136	4.123106	9.165151	8.379141	9.121951	8.379141	9.121951	0.000000	21.142374	4.795832	0.000000	23.130067	20.976177	10.811568	9.049309	8.239539	9.637946	8.239539	12.644762	38.998590	43.93051	24.431332	7.592101	6.324555	8.522910	9.520504	7.615773	10.770330	12.736169	14.725488	14.725488	14.078707	15.551206	15.551206	4.123106	7.000000	3.354102	3.741657	6.452906	3.741657	3.605551	3.162278	3.000000	3.354102	4.031129	12.206556	4.898980	3.162278	13.190906	3.162278	9.912114	15.551206	13.609188	14.860686	10.198039	10.828204	4.582576	3.741657	8.544004	9.219544	14.860686	15.551206	15.551206
CAMRY HYBRID LE-2.5-4-1-42-38	19.627786	22.028391	26.514147	26.134269	26.514147	30.269622	11.401754	2.343075	30.712375	22.028391	26.514147	26.134269	26.514147	7.874008	12.767145	12.845233	5.477226	23.130067	22.028391	23.542515	25.258662	26.514147	26.532998	15.459625	30.682405	31.151405	30.682405	31.151405	23.130067	5.477226	19.339080	23.130067	0.000000	2.236068	14.159449	15.539948	16.108693	15.378231	16.108693	13.018833	16.984993	21.94288	1.577973	27.911288	27.477263	28.461202	28.879751	28.827071	31.288976	33.695845	35.947740	35.947740	35.062943	36.513559	36.513559	26.532998	28.740216	22.918333	25.670995	26.552589	25.670995	24.819347	21.610183	21.213203	22.918333	23.371992	13.038405	26.962937	22.912879	12.369317	22.912879	30.598203	36.513559	34.269666	36.280022	15.842980	31.164884	26.115130	25.670995	17.888544	16.552945	36.280022	36.513559	36.513559
CAMRY HYBRID XLE/SE-2.5-4-1-40-37	17.500000	19.956202	24.331050	24.000000	24.331050	28.129166	9.949874	4.300000	28.570089	19.956202	24.331050	24.000000	24.331050	10.049876	10.677078	10.862780	5.385165	20.976177	19.956202	21.430119	23.130067	24.331050	24.392622	13.564660	28.537870	29.007068	28.537870	29.007068	20.976177	5.385165	17.233688	20.976177	2.236068	0.000000	12.061924	13.582710	14.088648	13.471822	14.088648	11.067520	19.117793	24.09336	3.672874	25.730138	25.298221	26.287640	26.702809	26.645825	29.120440	31.534267	33.782244	33.782244	32.900000	34.354621	34.354621	24.392622	26.589472	20.742469	23.537205	24.372936	23.537205	22.693611	19.442222	19.052559	20.742469	21.195518	11.090537	24.819347	20.736441	10.488088	20.736441	28.412145	34.354621	32.115572	34.135612	13.856407	28.987066	23.979158	23.537205	15.842980	14.525839	34.135612	34.354621	34.354621
COROLLA-1.8-4-1-28-36	7.552483	10.051865	14.590751	14.173567	14.590751	18.445596	7.555792	15.524175	19.058856	10.051865	14.590751	14.173567	14.590751	21.191744	3.753665	4.482187	13.360015	10.811568	10.051865	11.577564	13.560605	14.590751	14.761097	7.803204	18.995789	19.642810	18.995789	19.642810	10.811568	13.360015	7.105632	10.811568	14.159449	12.061924	0.000000	6.082763	5.196152	6.000000	5.196152	2.236068	29.529646	34.48188	15.297059	16.607528	16.027788	17.401437	17.966914	17.346181	20.221029	22.513107	24.601016	24.601016	23.850367	25.341863	25.341863	14.761097	17.317332	11.182129	14.173567	15.290847	14.173567	13.634148	9.974467	9.300000	11.182129	11.918053	9.300000	15.391231	11.202232	9.873702	11.202232	19.257206	25.341863	23.277457	25.084059	10.241582	20.045947	14.828688	14.173567	10.671926	9.994499	25.084059	25.341863	25.341863
COROLLA-1.8-4-7-28-35	5.102940	6.785278	13.034186	11.742657	13.034186	16.469365	6.487681	16.911534	17.095029	6.785278	13.034186	11.742657	13.034186	22.362692	3.618011	3.014963	12.707872	9.049309	6.785278	8.662563	10.994999	13.034186	12.364870	3.144837	17.024688	17.687284	17.024688	17.687284	9.049309	12.707872	4.635731	9.049309	15.539948	13.582710	6.082763	0.000000	1.414214	1.000000	1.414214	6.782330	30.610456	35.49648	16.643317	15.060213	14.487581	15.868522	16.787198	15.871043	18.811964	21.209432	23.371136	23.371136	22.579637	24.108297	24.108297	12.364870	15.129111	9.275775	11.657187	13.667846	11.657187	10.994999	7.905062	7.175653	9.275775	10.051865	7.175653	13.034186	9.300000	7.905062	9.300000	18.161498	24.108297	21.973620	23.371136	8.117266	18.943073	12.364870	11.657187	8.537564	7.803204	23.371136	24.108297	24.108297
COROLLA-1.8-4-6-27-35	4.247352	6.167658	12.324366	11.130588	12.324366	15.850552	7.077429	17.492856	16.499697	6.167658	12.324366	11.130588	12.324366	23.023684	3.618011	3.330165	13.619471	8.239539	6.167658	8.064738	10.435037	12.324366	11.785160	3.986226	16.426807	17.112568	16.426807	17.112568	8.239539	13.619471	3.672874	8.239539	16.108693	14.088648	5.196152	1.414214	0.000000	1.732051	0.000000	6.164414	31.288976	36.19392	17.233688	14.450259	13.852437	15.290847	16.180544	15.227935	18.217848	20.587375	22.720255	22.720255	21.950854	23.477862	23.477862	11.785160	14.590751	8.604650	11.130588	13.069430	11.130588	10.530432	7.244998	6.441273	8.604650	9.436101	7.841556	12.485592	8.630759	8.630759	8.630759	17.488282	23.477862	21.373816	22.808113	8.478797	18.298634	11.869709	11.130588	8.653901	8.055433	22.808113	23.477862	23.477862
COROLLA iM-1.8-4-7-28-36	5.748043	7.282857	13.743726	12.364870	13.743726	17.095029	5.752391	16.643317	17.754999	7.282857	13.743726	12.364870	13.743726	22.024759	3.753665	2.844292	12.429401	9.637946	7.282857	9.275775	11.657187	13.743726	13.034186	3.590265	17.687284	18.380424	17.687284	18.380424	9.637946	12.429401	5.146844	9.637946	15.378231	13.471822	6.000000	1.000000	1.732051	0.000000	1.732051	6.403124	30.133038	35.00000	16.431677	15.868522	15.260734	16.697605	17.629804	16.640012	19.618614	21.973620	24.108297	24.108297	23.341808	24.863829	24.863829	13.034186	15.871043	10.051865	12.364870	14.484820	12.364870	11.742657	8.688498	7.905062	10.051865	10.864622	7.905062	13.743726	10.074224	8.572631	10.074224	18.943073	24.863829	22.756098	24.108297	8.993887	19.744366	13.110683	12.364870	9.481034	8.711487	24.108297	24.863829	24.863829
COROLLA iM-1.8-4-6-27-35	4.247352	6.167658	12.324366	11.130588	12.324366	15.850552	7.077429	17.492856	16.499697	6.167658	12.324366	11.130588	12.324366	23.023684	3.618011	3.330165	13.619471	8.239539	6.167658	8.064738	10.435037	12.324366	11.785160	3.986226	16.426807	17.112568	16.426807	17.112568	8.239539	13.619471	3.672874	8.239539	16.108693	14.088648	5.196152	1.414214	0.000000	1.732051	0.000000	6.164414	31.288976	36.19392	17.233688	14.450259	13.852437	15.290847	16.180544	15.227935	18.217848	20.587375	22.720255	22.720255	21.950854	23.477862	23.477862	11.785160	14.590751	8.604650	11.130588	13.069430	11.130588	10.530432	7.244998	6.441273	8.604650	9.436101	7.841556	12.485592	8.630759	8.630759	8.630759	17.488282	23.477862	21.373816	22.808113	8.478797	18.298634	11.869709	11.130588	8.653901	8.055433	22.808113	23.477862	23.477862
COROLLA LE ECO-1.8-4-1-29-38	9.275775	11.577564	16.609937	15.996562	16.609937	20.328305	6.171710	14.142136	20.981897	11.577564	16.609937	15.996562	16.609937	19.649173	4.369211	4.592385	12.144546	12.644762	11.577564	13.305638	15.391231	16.609937	16.640012	8.478797	20.924627	21.606480	20.924627	21.606480	12.644762	12.144546	8.688498	12.644762	13.018833	11.067520	2.236068	6.782330	6.164414	6.403124	6.164414	0.000000	27.730849	32.64966	14.035669	18.729923	18.107733	19.539959	20.144726	19.439393	22.358220	24.613817	26.687263	26.687263	25.958428	27.444672	27.444672	16.640012	19.310360	13.192422	16.058954	17.401437	16.058954	15.520631	11.936917	11.202232	13.192422	13.965672	10.270832	17.317332	13.209466	10.700000	13.209466	21.397196	27.444672	25.393700	27.133190	11.657187	22.200000	16.759773	16.058954	12.364870	11.527793	27.133190	27.444672	27.444672
PRIUS-1.8-4-1-54-50	35.341760	37.376998	42.812265	42.010594	42.812265	46.305939	24.679749	14.866069	46.853388	37.376998	42.812265	42.010594	42.812265	9.224424	28.462080	28.072941	18.506485	38.998590	37.376998	39.217853	41.181185	42.812265	42.542802	30.608659	46.827770	47.390294	46.827770	47.390294	38.998590	18.506485	34.849534	38.998590	16.984993	19.117793	29.529646	30.610456	31.288976	30.133038	31.288976	27.730849	0.000000	5.00000	15.556349	44.495056	43.964645	45.108868	45.637813	45.352949	47.967593	50.307455	52.547217	52.547217	51.699516	53.162111	53.162111	42.542802	45.032100	39.154055	41.723974	43.102320	41.723974	40.913201	37.782139	37.235601	39.154055	39.724552	29.436202	43.091647	39.159801	28.731342	39.159801	47.274094	53.162111	50.929755	52.775089	32.324758	47.894050	42.283448	41.723974	34.436754	33.043759	52.775089	53.162111	53.162111
PRIUS Eco-1.8-4-1-58-53	40.274558	42.261567	47.769132	46.924301	47.769132	51.217575	29.497288	19.849433	51.771034	42.261567	47.769132	46.924301	47.769132	14.145317	33.422896	33.001364	23.355727	43.930513	42.261567	44.125276	46.096529	47.769132	47.464618	35.466745	51.747850	52.314816	51.747850	52.314816	43.930513	23.355727	39.767952	43.930513	21.942880	24.093360	34.481879	35.496479	36.193922	35.000000	36.193922	32.649655	5.000000	0.00000	20.518285	49.465240	48.927395	50.078039	50.614326	50.317889	52.932882	55.261560	57.499652	57.499652	56.655450	58.113768	58.113768	47.464618	49.968890	44.113943	46.646436	48.070885	46.646436	45.835467	42.737454	42.184002	44.113943	44.688254	34.343704	48.019683	44.119043	33.622760	44.119043	52.247871	58.113768	55.882376	57.707972	37.227544	52.866246	47.211122	46.646436	39.355940	37.959057	57.707972	58.113768	58.113768
PRIUS v-1.8-4-1-43-39	20.857612	23.217235	27.872747	27.438841	27.872747	31.626571	12.128067	1.000000	32.081770	23.217235	27.872747	27.438841	27.872747	6.410148	13.931619	13.931619	5.872819	24.431332	23.217235	24.779830	26.568590	27.872747	27.854802	16.640012	32.044344	32.524452	32.044344	32.524452	24.431332	5.872819	20.554561	24.431332	1.577973	3.672874	15.297059	16.643317	17.233688	16.431677	17.233688	14.035669	15.556349	20.51828	0.000000	29.288394	28.859834	29.846440	30.278871	30.214070	32.693883	35.111821	37.379272	37.379272	36.480680	37.950099	37.950099	27.854802	30.098007	24.228908	26.997963	27.925078	26.997963	26.151291	22.923569	22.505333	24.228908	24.698988	14.369760	28.300000	24.238193	13.692699	24.238193	32.013122	37.950099	35.690895	37.698939	17.230496	32.585887	27.457057	26.997963	19.284450	17.941293	37.698939	37.950099	37.950099
TACOMA 2WD-2.7-4-6-19-23	10.319399	9.720597	3.693237	5.800000	3.693237	6.187891	21.434552	29.846440	5.940539	9.720597	3.693237	5.800000	3.693237	35.601124	16.445060	17.100877	26.401515	7.592101	9.720597	7.582216	5.885576	3.693237	4.963870	15.153877	5.797413	5.710517	5.797413	5.710517	7.592101	26.401515	11.182129	7.592101	27.911288	25.730138	16.607528	15.060213	14.450259	15.868522	14.450259	18.729923	44.495056	49.46524	29.288394	0.000000	2.374868	1.000000	2.236068	2.374868	4.200000	7.184010	9.273618	9.273618	8.343261	9.848858	9.848858	4.963870	3.261901	5.872819	5.063596	1.414214	5.063596	5.351635	7.213876	8.064738	5.872819	5.048762	15.653754	4.200000	5.834381	16.554154	5.834381	3.832754	9.848858	7.785242	9.486833	13.177253	4.437341	4.317407	5.063596	10.983624	12.273549	9.486833	9.848858	9.848858
TACOMA 2WD-3.5-6-6-19-24	9.759611	9.124144	2.000000	4.472136	2.000000	4.500000	20.808652	29.392006	4.387482	9.124144	2.000000	4.472136	2.000000	35.142567	15.937378	16.552945	25.903668	6.324555	9.124144	7.088723	4.582576	2.000000	3.605551	14.282857	4.267318	4.382921	4.267318	4.382921	6.324555	25.903668	10.535654	6.324555	27.477263	25.298221	16.027788	14.487581	13.852437	15.260734	13.852437	18.107733	43.964645	48.92740	28.859834	2.374868	0.000000	2.939388	3.826225	1.414214	4.472136	6.797794	8.991107	8.991107	8.136953	9.687105	9.687105	3.605551	2.236068	5.590170	3.741657	2.374868	3.741657	4.123106	6.782330	7.549834	5.590170	4.924429	15.394804	2.828427	5.477226	16.309506	5.477226	3.774917	9.687105	7.563729	9.210863	12.649111	4.609772	3.000000	3.741657	10.440307	11.704700	9.210863	9.687105	9.687105
TACOMA 4WD-2.7-4-6-19-22	11.202232	10.653168	4.543127	6.681317	4.543127	6.579514	22.236007	30.427126	6.187891	10.653168	4.543127	6.681317	4.543127	36.172365	17.188368	17.872885	27.019252	8.522910	10.653168	8.514106	6.755738	4.543127	5.800000	15.894653	6.050620	5.797413	6.050620	5.797413	8.522910	27.019252	12.084701	8.522910	28.461202	26.287640	17.401437	15.868522	15.290847	16.697605	15.290847	19.539959	45.108868	50.07804	29.846440	1.000000	2.939388	0.000000	1.414214	2.576820	3.555278	6.679072	8.774964	8.774964	7.785242	9.273618	9.273618	5.800000	3.693237	6.744627	5.885576	2.236068	5.885576	6.135145	8.064738	8.946508	6.744627	5.872819	16.125756	4.963870	6.711185	17.001176	6.711185	3.419064	9.273618	7.184010	9.000000	13.588230	3.832754	5.063596	5.885576	11.385956	12.713772	9.000000	9.273618	9.273618
TACOMA 4WD-2.7-4-5-19-21	12.144546	11.810588	5.535341	7.914544	5.535341	7.435725	23.074661	30.883814	6.949101	11.810588	5.535341	7.914544	5.535341	36.639323	17.872885	18.639743	27.677428	9.520504	11.810588	9.720597	7.977468	5.535341	7.045566	16.811901	6.827152	6.450581	6.827152	6.450581	9.520504	27.677428	13.039939	9.520504	28.879751	26.702809	17.966914	16.787198	16.180544	17.629804	16.180544	20.144726	45.637813	50.61433	30.278871	2.236068	3.826225	1.414214	0.000000	3.261901	3.261901	6.372598	8.426150	8.426150	7.389858	8.831761	8.831761	7.045566	4.862098	7.712976	7.116179	3.316625	7.116179	7.323933	9.002222	9.901515	7.712976	6.818358	16.674532	6.216108	7.683749	17.522557	7.683749	3.112877	8.831761	6.753518	8.888194	14.093970	3.269557	6.296030	7.116179	11.901260	13.252924	8.888194	8.831761	8.831761
TACOMA 4WD-3.5-6-6-18-23	11.101802	10.356158	3.162278	5.477226	3.162278	4.272002	22.203603	30.755325	3.905125	10.356158	3.162278	5.477226	3.162278	36.510272	17.320508	17.944358	27.294688	7.615773	10.356158	8.261356	5.744563	3.162278	4.582576	15.684387	3.769615	3.634556	3.769615	3.634556	7.615773	27.294688	11.874342	7.615773	28.827071	26.645825	17.346181	15.871043	15.227935	16.640012	15.227935	19.439393	45.352949	50.31789	30.214070	2.374868	1.414214	2.576820	3.261901	0.000000	3.162278	5.496362	7.670724	7.670724	6.797794	8.357033	8.357033	4.582576	2.236068	6.873863	4.898980	3.104835	4.898980	5.385165	8.124038	8.888194	6.873863	6.184658	16.703293	3.741657	6.782330	17.606817	6.782330	2.500000	8.357033	6.261789	7.927168	13.928388	3.354102	4.123106	4.898980	11.704700	13.000000	7.927168	8.357033	8.357033
TACOMA 4WD D-CAB V6 MT OFF-ROAD-3.5-6-6-17-20	14.115594	13.388428	6.324555	8.485281	6.324555	6.020797	25.159491	33.284982	5.220153	13.388428	6.324555	8.485281	6.324555	39.025633	20.149442	20.832667	29.916551	10.770330	13.388428	11.236102	8.774964	6.324555	7.549834	18.547237	5.119570	4.382921	5.119570	4.382921	10.770330	29.916551	14.933184	10.770330	31.288976	29.120440	20.221029	18.811964	18.217848	19.618614	18.217848	22.358220	47.967593	52.93288	32.693883	4.200000	4.472136	3.555278	3.261901	3.162278	0.000000	3.195309	5.370289	5.370289	4.267318	5.817216	5.817216	7.549834	4.582576	9.759611	7.874008	5.444263	7.874008	8.306624	11.045361	11.874342	9.759611	8.958236	19.000000	6.633250	9.695360	19.849433	9.695360	1.500000	5.817216	3.634556	5.730620	16.124516	1.118034	7.000000	7.874008	13.892444	15.264337	5.730620	5.817216	5.817216
TUNDRA 2WD-4.6-8-6-15-19	16.515447	15.644807	8.379141	10.305824	8.379141	6.415606	27.488361	35.690895	5.491812	15.644807	8.379141	10.305824	8.379141	41.419923	22.596681	23.251022	32.332801	12.736169	15.644807	13.555811	10.733592	8.379141	9.445105	20.741504	5.477226	4.582576	5.477226	4.582576	12.736169	32.332801	17.245579	12.736169	33.695845	31.534267	22.513107	21.209432	20.587375	21.973620	20.587375	24.613817	50.307455	55.26156	35.111821	7.184010	6.797794	6.679072	6.372598	5.496362	3.195309	0.000000	2.491987	2.491987	1.414214	3.034798	3.034798	9.445105	6.573431	12.359612	9.910096	8.343261	9.910096	10.450359	13.579764	14.332132	12.359612	11.651609	21.573363	8.614523	12.264176	22.414504	12.264176	3.655133	3.034798	1.000000	3.195309	18.498919	3.218695	9.121951	9.910096	16.285269	17.641145	3.195309	3.034798	3.034798
TUNDRA 2WD-5.7-8-6-13-18	18.619613	17.626401	10.432641	12.200000	10.432641	7.905062	29.641862	37.950099	7.034913	17.626401	10.432641	12.200000	10.432641	43.687985	24.812094	25.448772	34.586703	14.725488	17.626401	15.546382	12.721635	10.432641	11.394736	22.909387	7.085902	6.261789	7.085902	6.261789	14.725488	34.586703	19.293522	14.725488	35.947740	33.782244	24.601016	23.371136	22.720255	24.108297	22.720255	26.687263	52.547217	57.49965	37.379272	9.273618	8.991107	8.774964	8.426150	7.670724	5.370289	2.491987	0.000000	0.000000	1.486607	1.000000	1.000000	11.394736	8.593020	14.515164	11.951569	10.488088	11.951569	12.563439	15.723867	16.438978	14.515164	13.845216	23.879698	10.622617	14.395833	24.723268	14.395833	5.734980	1.000000	2.282542	2.000000	20.804807	5.281098	11.217843	11.951569	18.596774	19.945927	2.000000	1.000000	1.000000
TUNDRA 2WD FFV-5.7-8-6-13-18	18.619613	17.626401	10.432641	12.200000	10.432641	7.905062	29.641862	37.950099	7.034913	17.626401	10.432641	12.200000	10.432641	43.687985	24.812094	25.448772	34.586703	14.725488	17.626401	15.546382	12.721635	10.432641	11.394736	22.909387	7.085902	6.261789	7.085902	6.261789	14.725488	34.586703	19.293522	14.725488	35.947740	33.782244	24.601016	23.371136	22.720255	24.108297	22.720255	26.687263	52.547217	57.49965	37.379272	9.273618	8.991107	8.774964	8.426150	7.670724	5.370289	2.491987	0.000000	0.000000	1.486607	1.000000	1.000000	11.394736	8.593020	14.515164	11.951569	10.488088	11.951569	12.563439	15.723867	16.438978	14.515164	13.845216	23.879698	10.622617	14.395833	24.723268	14.395833	5.734980	1.000000	2.282542	2.000000	20.804807	5.281098	11.217843	11.951569	18.596774	19.945927	2.000000	1.000000	1.000000
TUNDRA 4WD-4.6-8-6-14-18	17.853851	16.933989	9.706184	11.584904	9.706184	7.560423	28.872305	37.065348	6.645299	16.933989	9.706184	11.584904	9.706184	42.797313	23.971024	24.629454	33.725510	14.078707	16.933989	14.824304	12.050311	9.706184	10.733592	22.140687	6.633250	5.744563	6.633250	5.744563	14.078707	33.725510	18.585209	14.078707	35.062943	32.900000	23.850367	22.579637	21.950854	23.341808	21.950854	25.958428	51.699516	56.65545	36.480680	8.343261	8.136953	7.785242	7.389858	6.797794	4.267318	1.414214	1.486607	1.486607	0.000000	1.791647	1.791647	10.733592	7.823682	13.666016	11.234322	9.571311	11.234322	11.798729	14.913417	15.665567	13.666016	12.952220	22.921824	9.910096	13.579764	23.757315	13.579764	4.833218	1.791647	1.000000	2.491987	19.854722	4.284857	10.450359	11.234322	17.641145	19.005526	2.491987	1.791647	1.791647
TUNDRA 4WD-5.7-8-6-13-17	19.382724	18.430681	11.217843	13.032268	11.217843	8.802841	30.391446	38.538422	7.905062	18.430681	11.217843	13.032268	11.217843	44.267821	25.507646	26.165626	35.202841	15.551206	18.430681	16.330646	13.521834	11.217843	12.200000	23.618637	7.950472	7.085902	7.950472	7.085902	15.551206	35.202841	20.080837	15.551206	36.513559	34.354621	25.341863	24.108297	23.477862	24.863829	23.477862	27.444672	53.162111	58.11377	37.950099	9.848858	9.687105	9.273618	8.831761	8.357033	5.817216	3.034798	1.000000	1.000000	1.791647	0.000000	0.000000	12.200000	9.318798	15.221367	12.721635	11.090537	12.721635	13.298120	16.438978	17.182549	15.221367	14.515164	24.397541	11.394736	15.107614	25.223798	15.107614	6.315853	0.000000	2.491987	2.236068	21.303521	5.734980	11.951569	12.721635	19.100785	20.465581	2.236068	0.000000	0.000000
TUNDRA 4WD FFV-5.7-8-6-13-17	19.382724	18.430681	11.217843	13.032268	11.217843	8.802841	30.391446	38.538422	7.905062	18.430681	11.217843	13.032268	11.217843	44.267821	25.507646	26.165626	35.202841	15.551206	18.430681	16.330646	13.521834	11.217843	12.200000	23.618637	7.950472	7.085902	7.950472	7.085902	15.551206	35.202841	20.080837	15.551206	36.513559	34.354621	25.341863	24.108297	23.477862	24.863829	23.477862	27.444672	53.162111	58.11377	37.950099	9.848858	9.687105	9.273618	8.831761	8.357033	5.817216	3.034798	1.000000	1.000000	1.791647	0.000000	0.000000	12.200000	9.318798	15.221367	12.721635	11.090537	12.721635	13.298120	16.438978	17.182549	15.221367	14.515164	24.397541	11.394736	15.107614	25.223798	15.107614	6.315853	0.000000	2.491987	2.236068	21.303521	5.734980	11.951569	12.721635	19.100785	20.465581	2.236068	0.000000	0.000000
SIENNA-3.5-6-8-19-27	7.762087	6.344289	2.236068	1.000000	2.236068	4.387482	18.708287	28.300000	4.924429	6.344289	2.236068	1.000000	2.236068	33.970576	14.456832	14.798649	24.372115	4.123106	6.344289	4.387482	1.414214	2.236068	0.000000	12.206556	4.817676	5.496362	4.817676	5.496362	4.123106	24.372115	8.366600	4.123106	26.532998	24.392622	14.761097	12.364870	11.785160	13.034186	11.785160	16.640012	42.542802	47.46462	27.854802	4.963870	3.605551	5.800000	7.045566	4.582576	7.549834	9.445105	11.394736	11.394736	10.733592	12.200000	12.200000	0.000000	3.162278	4.500000	1.000000	4.317407	1.000000	2.000000	5.385165	5.830952	4.500000	4.387482	14.628739	1.000000	4.358899	15.588457	4.358899	7.017834	12.200000	10.305824	11.217843	12.206556	7.889867	1.414214	1.000000	10.198039	11.224972	11.217843	12.200000	12.200000
SIENNA AWD-3.5-6-8-18-24	10.500000	9.287088	3.000000	4.123106	3.000000	3.354102	21.540659	30.608659	3.201562	9.287088	3.000000	4.123106	3.000000	36.304270	17.000000	17.464249	26.795522	7.000000	9.287088	7.158911	4.472136	3.000000	3.162278	14.866069	3.034798	3.195309	3.034798	3.195309	7.000000	26.795522	11.224972	7.000000	28.740216	26.589472	17.317332	15.129111	14.590751	15.871043	14.590751	19.310360	45.032100	49.96889	30.098007	3.261901	2.236068	3.693237	4.862098	2.236068	4.582576	6.573431	8.593020	8.593020	7.823682	9.318798	9.318798	3.162278	0.000000	6.500000	3.605551	3.555278	3.605551	4.242641	7.681146	8.366600	6.500000	5.937171	16.431677	2.236068	6.403124	17.349352	6.403124	4.387482	9.318798	7.362744	8.357033	13.747727	5.123475	2.828427	3.605551	11.575837	12.806249	8.357033	9.318798	9.318798
NX 200t-2-4-6-22-28	4.472136	4.472136	4.387482	4.387482	4.387482	8.602325	15.628500	24.698988	9.000000	4.472136	4.387482	4.387482	4.387482	30.434356	10.828204	11.368817	21.100948	3.354102	4.472136	3.000000	3.774917	4.387482	4.500000	9.759611	8.874683	9.368031	8.874683	9.368031	3.354102	21.100948	5.408327	3.354102	22.918333	20.742469	11.182129	9.275775	8.604650	10.051865	8.604650	13.192422	39.154055	44.11394	24.228908	5.872819	5.590170	6.744627	7.712976	6.873863	9.759611	12.359612	14.515164	14.515164	13.666016	15.221367	15.221367	4.500000	6.500000	0.000000	3.905125	4.526588	3.905125	3.500000	1.500000	2.291288	0.000000	1.000000	11.191515	4.821825	0.500000	12.175796	0.500000	9.110434	15.221367	13.105724	14.652304	9.340771	9.899495	4.272002	3.905125	7.500000	8.381527	14.652304	15.221367	15.221367
RX 350-3.5-6-8-20-27	7.158911	5.937171	2.449490	1.414214	2.449490	5.123475	18.027756	27.457057	5.590170	5.937171	2.449490	1.414214	2.449490	33.120990	13.711309	14.071247	23.515952	3.741657	5.937171	4.031129	1.000000	2.449490	1.000000	11.401754	5.496362	6.100000	5.496362	6.100000	3.741657	23.515952	7.810250	3.741657	25.670995	23.537205	14.173567	11.657187	11.130588	12.364870	11.130588	16.058954	41.723974	46.64644	26.997963	5.063596	3.741657	5.885576	7.116179	4.898980	7.874008	9.910096	11.951569	11.951569	11.234322	12.721635	12.721635	1.000000	3.605551	3.905125	0.000000	4.200000	0.000000	1.000000	4.690416	5.196152	3.905125	3.774917	13.674794	1.414214	3.741657	14.628739	3.741657	7.365460	12.721635	10.733592	11.783039	11.224972	8.200610	1.000000	0.000000	9.219544	10.246951	11.783039	12.721635	12.721635
HIGHLANDER-2.7-4-6-20-24	8.971622	8.514106	3.104835	5.063596	3.104835	6.503076	20.035968	28.474726	6.425730	8.514106	3.104835	5.063596	3.104835	34.226306	15.047923	15.698408	25.000800	6.452906	8.514106	6.441273	4.963870	3.104835	4.317407	13.770984	6.293648	6.372598	6.293648	6.372598	6.452906	25.000800	9.850888	6.452906	26.552589	24.372936	15.290847	13.667846	13.069430	14.484820	13.069430	17.401437	43.102320	48.07089	27.925078	1.414214	2.374868	2.236068	3.316625	3.104835	5.444263	8.343261	10.488088	10.488088	9.571311	11.090537	11.090537	4.317407	3.555278	4.526588	4.200000	0.000000	4.200000	4.317407	5.834381	6.711185	4.526588	3.672874	14.319218	3.693237	4.476606	15.232859	4.476606	4.968903	11.090537	8.978307	10.677078	11.901260	5.629387	3.555278	4.200000	9.728309	10.983624	10.677078	11.090537	11.090537
HIGHLANDER-3.5-6-8-20-27	7.158911	5.937171	2.449490	1.414214	2.449490	5.123475	18.027756	27.457057	5.590170	5.937171	2.449490	1.414214	2.449490	33.120990	13.711309	14.071247	23.515952	3.741657	5.937171	4.031129	1.000000	2.449490	1.000000	11.401754	5.496362	6.100000	5.496362	6.100000	3.741657	23.515952	7.810250	3.741657	25.670995	23.537205	14.173567	11.657187	11.130588	12.364870	11.130588	16.058954	41.723974	46.64644	26.997963	5.063596	3.741657	5.885576	7.116179	4.898980	7.874008	9.910096	11.951569	11.951569	11.234322	12.721635	12.721635	1.000000	3.605551	3.905125	0.000000	4.200000	0.000000	1.000000	4.690416	5.196152	3.905125	3.774917	13.674794	1.414214	3.741657	14.628739	3.741657	7.365460	12.721635	10.733592	11.783039	11.224972	8.200610	1.000000	0.000000	9.219544	10.246951	11.783039	12.721635	12.721635
HIGHLANDER LE/XLE/SE/LTD-3.5-6-8-21-27	6.652067	5.678908	3.000000	2.236068	3.000000	5.937171	17.378147	26.624988	6.344289	5.678908	3.000000	2.236068	3.000000	32.280025	13.000000	13.379088	22.671568	3.605551	5.678908	3.905125	1.414214	3.000000	2.000000	10.630146	6.261789	6.797794	6.261789	6.797794	3.605551	22.671568	7.348469	3.605551	24.819347	22.693611	13.634148	10.994999	10.530432	11.742657	10.530432	15.520631	40.913201	45.83547	26.151291	5.351635	4.123106	6.135145	7.323933	5.385165	8.306624	10.450359	12.563439	12.563439	11.798729	13.298120	13.298120	2.000000	4.242641	3.500000	1.000000	4.317407	1.000000	0.000000	4.123106	4.690416	3.500000	3.354102	12.727922	2.236068	3.316625	13.674794	3.316625	7.826238	13.298120	11.234322	12.403225	10.246951	8.616844	1.414214	1.000000	8.246211	9.273618	12.403225	13.298120	13.298120
RAV4-2.5-4-6-23-29	3.201562	3.774917	5.477226	5.099019	5.477226	9.552487	14.247807	23.377126	10.012492	3.774917	5.477226	5.099019	5.477226	29.103264	9.486833	10.000000	19.723083	3.162278	3.774917	3.041381	4.358899	5.477226	5.385165	8.366600	9.920181	10.459924	9.920181	10.459924	3.162278	19.723083	4.123106	3.162278	21.610183	19.442222	9.974467	7.905062	7.244998	8.688498	7.244998	11.936917	37.782139	42.73745	22.923569	7.213876	6.782330	8.064738	9.002222	8.124038	11.045361	13.579764	15.723867	15.723867	14.913417	16.438978	16.438978	5.385165	7.681146	1.500000	4.690416	5.834381	4.690416	4.123106	0.000000	1.000000	1.500000	2.291288	10.049876	5.830952	1.414214	11.045361	1.414214	10.356158	16.438978	14.332132	15.850552	8.366600	11.146748	5.196152	4.690416	6.708204	7.416199	15.850552	16.438978	16.438978
RAV4 LE/XLE-2.5-4-6-23-30	2.291288	3.041381	6.082763	5.385165	6.082763	10.012492	13.490738	22.923569	10.547512	3.041381	6.082763	5.385165	6.082763	28.635642	8.888194	9.327379	19.235384	3.000000	3.041381	2.872281	4.690416	6.082763	5.830952	7.810250	10.459924	11.063905	10.459924	11.063905	3.000000	19.235384	3.162278	3.000000	21.213203	19.052559	9.300000	7.175653	6.441273	7.905062	6.441273	11.202232	37.235601	42.18400	22.505333	8.064738	7.549834	8.946508	9.901515	8.888194	11.874342	14.332132	16.438978	16.438978	15.665567	17.182549	17.182549	5.830952	8.366600	2.291288	5.196152	6.711185	5.196152	4.690416	1.000000	0.000000	2.291288	3.201562	10.000000	6.403124	2.236068	11.000000	2.236068	11.146748	17.182549	15.113239	16.560193	8.544004	11.968709	5.830952	5.196152	7.071068	7.615773	16.560193	17.182549	17.182549
NX 200t AWD-2-4-6-22-28	4.472136	4.472136	4.387482	4.387482	4.387482	8.602325	15.628500	24.698988	9.000000	4.472136	4.387482	4.387482	4.387482	30.434356	10.828204	11.368817	21.100948	3.354102	4.472136	3.000000	3.774917	4.387482	4.500000	9.759611	8.874683	9.368031	8.874683	9.368031	3.354102	21.100948	5.408327	3.354102	22.918333	20.742469	11.182129	9.275775	8.604650	10.051865	8.604650	13.192422	39.154055	44.11394	24.228908	5.872819	5.590170	6.744627	7.712976	6.873863	9.759611	12.359612	14.515164	14.515164	13.666016	15.221367	15.221367	4.500000	6.500000	0.000000	3.905125	4.526588	3.905125	3.500000	1.500000	2.291288	0.000000	1.000000	11.191515	4.821825	0.500000	12.175796	0.500000	9.110434	15.221367	13.105724	14.652304	9.340771	9.899495	4.272002	3.905125	7.500000	8.381527	14.652304	15.221367	15.221367
NX 200t AWD F SPORT-2-4-6-22-27	5.385165	5.385165	4.031129	4.500000	4.031129	8.306624	16.408839	25.200000	8.602325	5.385165	4.031129	4.500000	4.031129	30.939457	11.500000	12.093387	21.639085	4.031129	5.385165	3.741657	3.905125	4.031129	4.387482	10.404326	8.471127	8.874683	8.471127	8.874683	4.031129	21.639085	6.344289	4.031129	23.371992	21.195518	11.918053	10.051865	9.436101	10.864622	9.436101	13.965672	39.724552	44.68825	24.698988	5.048762	4.924429	5.872819	6.818358	6.184658	8.958236	11.651609	13.845216	13.845216	12.952220	14.515164	14.515164	4.387482	5.937171	1.000000	3.774917	3.672874	3.774917	3.354102	2.291288	3.201562	1.000000	0.000000	11.412712	4.500000	1.118034	12.379418	1.118034	8.366600	14.515164	12.359612	13.988924	9.394147	9.110434	3.905125	3.774917	7.433034	8.440971	13.988924	14.515164	14.515164
NX 300h AWD-2.5-4-6-33-30	9.233093	11.368817	14.730920	14.456832	14.730920	18.445867	10.099505	15.016324	18.741665	11.368817	14.730920	14.456832	14.730920	20.493901	6.244998	6.855655	11.401754	12.206556	11.368817	12.175796	13.490738	14.730920	14.628739	6.403124	18.692512	19.037069	18.692512	19.037069	12.206556	11.401754	9.486833	12.206556	13.038405	11.090537	9.300000	7.175653	7.841556	7.905062	7.841556	10.270832	29.436202	34.34370	14.369760	15.653754	15.394804	16.125756	16.674532	16.703293	19.000000	21.573363	23.879698	23.879698	22.921824	24.397541	24.397541	14.628739	16.431677	11.191515	13.674794	14.319218	13.674794	12.727922	10.049876	10.000000	11.191515	11.412712	0.000000	14.866069	11.180340	1.000000	11.180340	18.553975	24.397541	22.100000	23.963305	3.605551	19.059119	13.928388	13.674794	5.477226	4.242641	23.963305	24.397541	24.397541
RX 350 AWD-3.5-6-8-19-26	8.440971	7.158911	2.000000	2.000000	2.000000	4.031129	19.416488	28.773078	4.387482	7.158911	2.000000	2.000000	2.000000	34.452866	15.033296	15.427249	24.879711	4.898980	7.158911	5.123475	2.236068	2.000000	1.000000	12.806249	4.267318	4.817676	4.267318	4.817676	4.898980	24.879711	9.110434	4.898980	26.962937	24.819347	15.391231	13.034186	12.485592	13.743726	12.485592	17.317332	43.091647	48.01968	28.300000	4.200000	2.828427	4.963870	6.216108	3.741657	6.633250	8.614523	10.622617	10.622617	9.910096	11.394736	11.394736	1.000000	2.236068	4.821825	1.414214	3.693237	1.414214	2.236068	5.830952	6.403124	4.821825	4.500000	14.866069	0.000000	4.690416	15.811388	4.690416	6.184658	11.394736	9.445105	10.432641	12.328828	7.017834	1.000000	1.414214	10.246951	11.357817	10.432641	11.394736	11.394736
RAV4 AWD-2.5-4-6-22-28	4.500000	4.500000	4.242641	4.242641	4.242641	8.440971	15.652476	24.708096	8.845903	4.500000	4.242641	4.242641	4.242641	30.446675	10.862780	11.401754	21.095023	3.162278	4.500000	3.041381	3.605551	4.242641	4.358899	9.695360	8.741281	9.241753	8.741281	9.241753	3.162278	21.095023	5.385165	3.162278	22.912879	20.736441	11.202232	9.300000	8.630759	10.074224	8.630759	13.209466	39.159801	44.11904	24.238193	5.834381	5.477226	6.711185	7.683749	6.782330	9.695360	12.264176	14.395833	14.395833	13.579764	15.107614	15.107614	4.358899	6.403124	0.500000	3.741657	4.476606	3.741657	3.316625	1.414214	2.236068	0.500000	1.118034	11.180340	4.690416	0.000000	12.165525	0.000000	9.013878	15.107614	13.015760	14.534098	9.273618	9.810708	4.123106	3.741657	7.416199	8.306624	14.534098	15.107614	15.107614
RAV4 HYBRID AWD-2.5-4-6-34-30	10.210289	12.338963	15.684387	15.427249	15.684387	19.371371	10.246951	14.369760	19.653244	12.338963	15.684387	15.427249	15.684387	19.773720	6.782330	7.348469	10.816654	13.190906	12.338963	13.162447	14.456832	15.684387	15.588457	7.071068	19.606376	19.935145	19.606376	19.935145	13.190906	10.816654	10.440307	13.190906	12.369317	10.488088	9.873702	7.905062	8.630759	8.572631	8.630759	10.700000	28.731342	33.62276	13.692699	16.554154	16.309506	17.001176	17.522557	17.606817	19.849433	22.414504	24.723268	24.723268	23.757315	25.223798	25.223798	15.588457	17.349352	12.175796	14.628739	15.232859	14.628739	13.674794	11.045361	11.000000	12.175796	12.379418	1.000000	15.811388	12.165525	0.000000	12.165525	19.422925	25.223798	22.921824	24.804032	4.242641	19.906029	14.866069	14.628739	6.244998	5.000000	24.804032	25.223798	25.223798
RAV4 Limited AWD/SE AWD-2.5-4-6-22-28	4.500000	4.500000	4.242641	4.242641	4.242641	8.440971	15.652476	24.708096	8.845903	4.500000	4.242641	4.242641	4.242641	30.446675	10.862780	11.401754	21.095023	3.162278	4.500000	3.041381	3.605551	4.242641	4.358899	9.695360	8.741281	9.241753	8.741281	9.241753	3.162278	21.095023	5.385165	3.162278	22.912879	20.736441	11.202232	9.300000	8.630759	10.074224	8.630759	13.209466	39.159801	44.11904	24.238193	5.834381	5.477226	6.711185	7.683749	6.782330	9.695360	12.264176	14.395833	14.395833	13.579764	15.107614	15.107614	4.358899	6.403124	0.500000	3.741657	4.476606	3.741657	3.316625	1.414214	2.236068	0.500000	1.118034	11.180340	4.690416	0.000000	12.165525	0.000000	9.013878	15.107614	13.015760	14.534098	9.273618	9.810708	4.123106	3.741657	7.416199	8.306624	14.534098	15.107614	15.107614
4RUNNER 2WD-4-6-5-17-21	13.379088	12.767145	5.500000	7.889867	5.500000	5.567764	24.438699	32.585887	4.898980	12.767145	5.500000	7.889867	5.500000	38.356877	19.397165	20.105969	29.330019	9.912114	12.767145	10.677078	8.200610	5.500000	7.017834	17.951323	4.833218	4.284857	4.833218	4.284857	9.912114	29.330019	14.150972	9.912114	30.598203	28.412145	19.257206	18.161498	17.488282	18.943073	17.488282	21.397196	47.274094	52.24787	32.013122	3.832754	3.774917	3.419064	3.112877	2.500000	1.500000	3.655133	5.734980	5.734980	4.833218	6.315853	6.315853	7.017834	4.387482	9.110434	7.365460	4.968903	7.365460	7.826238	10.356158	11.146748	9.110434	8.366600	18.553975	6.184658	9.013878	19.422925	9.013878	0.000000	6.315853	4.284857	6.394529	15.692355	1.000000	6.576473	7.365460	13.462912	14.807093	6.394529	6.315853	6.315853
SEQUOIA 2WD-5.7-8-6-13-17	19.382724	18.430681	11.217843	13.032268	11.217843	8.802841	30.391446	38.538422	7.905062	18.430681	11.217843	13.032268	11.217843	44.267821	25.507646	26.165626	35.202841	15.551206	18.430681	16.330646	13.521834	11.217843	12.200000	23.618637	7.950472	7.085902	7.950472	7.085902	15.551206	35.202841	20.080837	15.551206	36.513559	34.354621	25.341863	24.108297	23.477862	24.863829	23.477862	27.444672	53.162111	58.11377	37.950099	9.848858	9.687105	9.273618	8.831761	8.357033	5.817216	3.034798	1.000000	1.000000	1.791647	0.000000	0.000000	12.200000	9.318798	15.221367	12.721635	11.090537	12.721635	13.298120	16.438978	17.182549	15.221367	14.515164	24.397541	11.394736	15.107614	25.223798	15.107614	6.315853	0.000000	2.491987	2.236068	21.303521	5.734980	11.951569	12.721635	19.100785	20.465581	2.236068	0.000000	0.000000
GX 460-4.6-8-6-15-18	17.313578	16.485145	9.230926	11.189727	9.230926	7.359348	28.259689	36.288290	6.415606	16.485145	9.230926	11.189727	9.230926	42.007261	23.315445	23.991874	32.960734	13.609188	16.485145	14.379152	11.584904	9.230926	10.305824	21.475800	6.403124	5.477226	6.403124	5.477226	13.609188	32.960734	18.066820	13.609188	34.269666	32.115572	23.277457	21.973620	21.373816	22.756098	21.373816	25.393700	50.929755	55.88238	35.690895	7.785242	7.563729	7.184010	6.753518	6.261789	3.634556	1.000000	2.282542	2.282542	1.000000	2.491987	2.491987	10.305824	7.362744	13.105724	10.733592	8.978307	10.733592	11.234322	14.332132	15.113239	13.105724	12.359612	22.100000	9.445105	13.015760	22.921824	13.015760	4.284857	2.491987	0.000000	3.034798	19.005526	3.655133	9.910096	10.733592	16.799107	18.171681	3.034798	2.491987	2.491987
LX 570-5.7-8-8-13-18	18.726719	17.512567	10.622617	12.034949	10.622617	7.647875	29.709258	38.264997	6.744627	17.512567	10.622617	12.034949	10.622617	43.961802	25.052744	25.605468	34.644480	14.860686	17.512567	15.417198	12.563439	10.622617	11.217843	22.821919	6.797794	5.933802	6.797794	5.933802	14.860686	34.644480	19.396907	14.860686	36.280022	34.135612	25.084059	23.371136	22.808113	24.108297	22.808113	27.133190	52.775089	57.70797	37.698939	9.486833	9.210863	9.000000	8.888194	7.927168	5.730620	3.195309	2.000000	2.000000	2.491987	2.236068	2.236068	11.217843	8.357033	14.652304	11.783039	10.677078	11.783039	12.403225	15.850552	16.560193	14.652304	13.988924	23.963305	10.432641	14.534098	24.804032	14.534098	6.394529	2.236068	3.034798	0.000000	20.900718	5.990826	11.038116	11.783039	18.704010	20.045947	0.000000	2.236068	2.236068
RX 450h AWD-3.5-6-6-31-28	8.440971	10.356158	12.165525	12.165525	12.165525	15.628500	12.369317	17.885469	15.850867	10.356158	12.165525	12.165525	12.165525	23.388031	7.874008	8.602325	14.387495	10.198039	10.356158	10.688779	11.180340	12.165525	12.206556	6.633250	15.818028	16.100000	15.818028	16.100000	10.198039	14.387495	8.888194	10.198039	15.842980	13.856407	10.241582	8.117266	8.478797	8.993887	8.478797	11.657187	32.324758	37.22754	17.230496	13.177253	12.649111	13.588230	14.093970	13.928388	16.124516	18.498919	20.804807	20.804807	19.854722	21.303521	21.303521	12.206556	13.747727	9.340771	11.224972	11.901260	11.224972	10.246951	8.366600	8.544004	9.340771	9.394147	3.605551	12.328828	9.273618	4.242641	9.273618	15.692355	21.303521	19.005526	20.900718	0.000000	16.163230	11.357817	11.224972	2.236068	1.000000	20.900718	21.303521	21.303521
4RUNNER 4WD-4-6-5-17-20	14.212670	13.638182	6.422616	8.789198	6.422616	6.324555	25.223996	33.178909	5.567764	13.638182	6.422616	8.789198	6.422616	38.939055	20.130822	20.862646	29.954132	10.828204	13.638182	11.532563	9.069179	6.422616	7.889867	18.688232	5.509991	4.833218	5.509991	4.833218	10.828204	29.954132	15.008331	10.828204	31.164884	28.987066	20.045947	18.943073	18.298634	19.744366	18.298634	22.200000	47.894050	52.86625	32.585887	4.437341	4.609772	3.832754	3.269557	3.354102	1.118034	3.218695	5.281098	5.281098	4.284857	5.734980	5.734980	7.889867	5.123475	9.899495	8.200610	5.629387	8.200610	8.616844	11.146748	11.968709	9.899495	9.110434	19.059119	7.017834	9.810708	19.906029	9.810708	1.000000	5.734980	3.655133	5.990826	16.163230	0.000000	7.365460	8.200610	13.937360	15.305228	5.990826	5.734980	5.734980
HIGHLANDER AWD-3.5-6-8-20-26	7.889867	6.800735	2.236068	2.236068	2.236068	4.821825	18.761663	27.944409	5.123475	6.800735	2.236068	2.236068	2.236068	33.615473	14.317821	14.730920	24.041631	4.582576	6.800735	4.821825	2.000000	2.236068	1.414214	12.041595	5.020956	5.496362	5.020956	5.496362	4.582576	24.041631	8.602325	4.582576	26.115130	23.979158	14.828688	12.364870	11.869709	13.110683	11.869709	16.759773	42.283448	47.21112	27.457057	4.317407	3.000000	5.063596	6.296030	4.123106	7.000000	9.121951	11.217843	11.217843	10.450359	11.951569	11.951569	1.414214	2.828427	4.272002	1.000000	3.555278	1.000000	1.414214	5.196152	5.830952	4.272002	3.905125	13.928388	1.000000	4.123106	14.866069	4.123106	6.576473	11.951569	9.910096	11.038116	11.357817	7.365460	0.000000	1.000000	9.273618	10.392305	11.038116	11.951569	11.951569
HIGHLANDER AWD LE-3.5-6-8-20-27	7.158911	5.937171	2.449490	1.414214	2.449490	5.123475	18.027756	27.457057	5.590170	5.937171	2.449490	1.414214	2.449490	33.120990	13.711309	14.071247	23.515952	3.741657	5.937171	4.031129	1.000000	2.449490	1.000000	11.401754	5.496362	6.100000	5.496362	6.100000	3.741657	23.515952	7.810250	3.741657	25.670995	23.537205	14.173567	11.657187	11.130588	12.364870	11.130588	16.058954	41.723974	46.64644	26.997963	5.063596	3.741657	5.885576	7.116179	4.898980	7.874008	9.910096	11.951569	11.951569	11.234322	12.721635	12.721635	1.000000	3.605551	3.905125	0.000000	4.200000	0.000000	1.000000	4.690416	5.196152	3.905125	3.774917	13.674794	1.414214	3.741657	14.628739	3.741657	7.365460	12.721635	10.733592	11.783039	11.224972	8.200610	1.000000	0.000000	9.219544	10.246951	11.783039	12.721635	12.721635
HIGHLANDER HYBRID AWD-3.5-6-6-29-27	7.500000	9.178780	10.049876	10.246951	10.049876	13.536986	13.638182	19.922098	13.720423	9.178780	10.049876	10.246951	10.049876	25.495098	8.774964	9.539392	16.431677	8.544004	9.178780	9.124144	9.273618	10.049876	10.198039	7.280110	13.682471	13.935925	13.682471	13.935925	8.544004	16.431677	8.124038	8.544004	17.888544	15.842980	10.671926	8.537564	8.653901	9.481034	8.653901	12.364870	34.436754	39.35594	19.284450	10.983624	10.440307	11.385956	11.901260	11.704700	13.892444	16.285269	18.596774	18.596774	17.641145	19.100785	19.100785	10.198039	11.575837	7.500000	9.219544	9.728309	9.219544	8.246211	6.708204	7.071068	7.500000	7.433034	5.477226	10.246951	7.416199	6.244998	7.416199	13.462912	19.100785	16.799107	18.704010	2.236068	13.937360	9.273618	9.219544	0.000000	1.414214	18.704010	19.100785	19.100785
HIGHLANDER HYBRID AWD LE Plus-3.5-6-6-30-28	7.632169	9.500000	11.180340	11.180340	11.180340	14.671401	12.489996	18.571214	14.908051	9.500000	11.180340	11.180340	11.180340	24.124676	7.810250	8.544004	15.033296	9.219544	9.500000	9.759611	10.198039	11.180340	11.224972	6.403124	14.873130	15.172673	14.873130	15.172673	9.219544	15.033296	8.124038	9.219544	16.552945	14.525839	9.994499	7.803204	8.055433	8.711487	8.055433	11.527793	33.043759	37.95906	17.941293	12.273549	11.704700	12.713772	13.252924	13.000000	15.264337	17.641145	19.945927	19.945927	19.005526	20.465581	20.465581	11.224972	12.806249	8.381527	10.246951	10.983624	10.246951	9.273618	7.416199	7.615773	8.381527	8.440971	4.242641	11.357817	8.306624	5.000000	8.306624	14.807093	20.465581	18.171681	20.045947	1.000000	15.305228	10.392305	10.246951	1.414214	0.000000	20.045947	20.465581	20.465581
LAND CRUISER WAGON 4WD-5.7-8-8-13-18	18.726719	17.512567	10.622617	12.034949	10.622617	7.647875	29.709258	38.264997	6.744627	17.512567	10.622617	12.034949	10.622617	43.961802	25.052744	25.605468	34.644480	14.860686	17.512567	15.417198	12.563439	10.622617	11.217843	22.821919	6.797794	5.933802	6.797794	5.933802	14.860686	34.644480	19.396907	14.860686	36.280022	34.135612	25.084059	23.371136	22.808113	24.108297	22.808113	27.133190	52.775089	57.70797	37.698939	9.486833	9.210863	9.000000	8.888194	7.927168	5.730620	3.195309	2.000000	2.000000	2.491987	2.236068	2.236068	11.217843	8.357033	14.652304	11.783039	10.677078	11.783039	12.403225	15.850552	16.560193	14.652304	13.988924	23.963305	10.432641	14.534098	24.804032	14.534098	6.394529	2.236068	3.034798	0.000000	20.900718	5.990826	11.038116	11.783039	18.704010	20.045947	0.000000	2.236068	2.236068
SEQUOIA 4WD-5.7-8-6-13-17	19.382724	18.430681	11.217843	13.032268	11.217843	8.802841	30.391446	38.538422	7.905062	18.430681	11.217843	13.032268	11.217843	44.267821	25.507646	26.165626	35.202841	15.551206	18.430681	16.330646	13.521834	11.217843	12.200000	23.618637	7.950472	7.085902	7.950472	7.085902	15.551206	35.202841	20.080837	15.551206	36.513559	34.354621	25.341863	24.108297	23.477862	24.863829	23.477862	27.444672	53.162111	58.11377	37.950099	9.848858	9.687105	9.273618	8.831761	8.357033	5.817216	3.034798	1.000000	1.000000	1.791647	0.000000	0.000000	12.200000	9.318798	15.221367	12.721635	11.090537	12.721635	13.298120	16.438978	17.182549	15.221367	14.515164	24.397541	11.394736	15.107614	25.223798	15.107614	6.315853	0.000000	2.491987	2.236068	21.303521	5.734980	11.951569	12.721635	19.100785	20.465581	2.236068	0.000000	0.000000
SEQUOIA 4WD FFV-5.7-8-6-13-17	19.382724	18.430681	11.217843	13.032268	11.217843	8.802841	30.391446	38.538422	7.905062	18.430681	11.217843	13.032268	11.217843	44.267821	25.507646	26.165626	35.202841	15.551206	18.430681	16.330646	13.521834	11.217843	12.200000	23.618637	7.950472	7.085902	7.950472	7.085902	15.551206	35.202841	20.080837	15.551206	36.513559	34.354621	25.341863	24.108297	23.477862	24.863829	23.477862	27.444672	53.162111	58.11377	37.950099	9.848858	9.687105	9.273618	8.831761	8.357033	5.817216	3.034798	1.000000	1.000000	1.791647	0.000000	0.000000	12.200000	9.318798	15.221367	12.721635	11.090537	12.721635	13.298120	16.438978	17.182549	15.221367	14.515164	24.397541	11.394736	15.107614	25.223798	15.107614	6.315853	0.000000	2.491987	2.236068	21.303521	5.734980	11.951569	12.721635	19.100785	20.465581	2.236068	0.000000	0.000000

Clustering

Use the hclust() function for this:

hc <-
  car_diffs %>% 
  hclust()

Now plot:

plot(hc, main = NULL,
     cex = 0.6, xlab = "Model", ylab = "Euclidean Distance",
     sub = "")

The Plot

Analysis

There is a clear division between the hybrids (with high mileage) and all other models.

Alternate Plotting

There are many options for plotting dendograms. Some folks like to use package ape, as it plots vertically:

library(ape)
hc %>% 
  as.phylo() %>% 
  plot(cex = 0.9, label.offset = 1)

tip: When using R Markdown, you should set the chunk option fig.height to a large-enough whole number.

Scaling

If your primary concern is fuel efficiency then our approach is OK.

But if no variable is considered “more important” than any other, then we have a problem:

• fuel efficiency variables have high variance
• the others don’t

So to respect “equal importance”, scale all variables to have the same variance prior to computing distances.

Using scale()

toyota %>% 
  select(-make, -model) %>% 
  scale() %>% 
  dist() %>% 
  hclust() %>% 
  plot(main = "Cluster Dendogram of Toyotas",
     cex = 0.6, xlab = "Model", ylab = "Euclidean Distance",
     sub = "")

Anaylsis

Now the “economy” and hybrid cars fall into one of the two primary groups.

K-Means Clustering

Iris Data

?iris
View(iris)

A Cloud Plot

library(lattice)

Highlight the name iris in an R Markdown document or an R script. Then go to:

Addins -> Lattice Cloud Plot

My Plot

Code

cloud(Sepal.Length ~ Sepal.Width * Petal.Width,
    data = iris,
    screen = list(x = -90,
            y = 43,
            z = 0),
    groups = Species,
    auto.key = list(
        space = "top",
        title = "Species",
        cex.title = 1,
        columns = 3),
    pch = 20)

Clusters!

The irises appear to fall into distinct “clusters”, by species.

Could a machine find the species?

kmeans() function

set.seed(3030)
iris_clusts <-
  iris %>% 
  select(-Species) %>% 
  scale() %>% 
  kmeans(centers = 3) %>% 
  fitted("classes")
iris2 <- 
  iris %>% 
  mutate(cluster = factor(iris_clusts))

How Did It Do?

mosaic::tally(iris_clusts ~ Species, data = iris2)

           Species
iris_clusts setosa versicolor virginica
          1     50          0         0
          2      0         11        36
          3      0         39        14

Not so great: the versicolor and virginica are nearly all in a single cluster.