(5) Estimate a multiple regression model using CityMPG as the response variable (dependent variable) and several numerical or binary predictors of your choice. Caution: If you use binary predictors, be careful to omit one of the binary predictors in each group (body style, drive type, transmission type) to avoid perfect multicollinearity.

Automobile Specifications (n = 71, m = 27)		Note: See variable definitions below
																		Body Style (omit one)	Drive Type (omit one)	Transmission Type (omit one)
Obs	Model	Doors	Style	Engine	Cylinders	CityMPG	HwyMPG	EngineSize	HP	Length	Width	Height	Weight	Drive	Transmission	TransType	NumGears	Coupe?	Hatchback?	Sedan?	SUV?	FWD?	RWD?	AWD?	Automatic?	Manual?	CVT?
1	Acura TL	4	Sedan	V6	6	20	29	3500	220	194.0	74.0	57.2	3968	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
2	Audi A5	2	Coupe	L4	4	22	32	1984	220	182.1	73.0	54.0	3583	A	M-6	M	6	1	0	0	0	0	0	1	0	1	0
3	BMW 4 Series 428i	2	Coupe	L4	4	22	35	1997	240	182.6	71.9	54.2	3470	R	A-8	A	8	1	0	0	0	0	1	0	1	0	0
4	BMW X1 sDrive28i	4	SUV	L4	4	23	34	1997	240	176.5	70.8	60.8	3527	R	A-8	A	8	0	0	0	1	0	1	0	1	0	0
5	Buice LaCrosse	4	Sedan	V6	6	18	28	3600	304	196.9	73.1	59.2	3990	A	A-6	A	6	0	0	1	0	0	0	1	1	0	0
6	Buick Enclave	4	SUV	V6	6	17	24	3600	288	201.9	79.0	70.3	4724	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
7	Buick Regal	4	Sedan	L4	4	21	30	2000	259	190.2	73.1	58.4	3692	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
8	Cadillac ATS	4	Sedan	L4	4	22	33	2500	202	182.8	71.1	55.9	3315	R	A-6	A	6	0	0	1	0	0	1	0	1	0	0
9	Cadillac CTS	4	Sedan	L4	4	20	30	2000	272	195.5	72.2	57.2	3616	R	A-6	A	6	0	0	1	0	0	1	0	1	0	0
10	Cadillac Escalade	4	SUV	V8	8	14	18	6200	403	202.5	79.0	75.9	5527	R	A-6	A	6	0	0	0	1	0	1	0	1	0	0
11	Chevrolet Camaro 1SS	2	Coupe	V8	8	16	24	3600	426	190.6	75.5	54.2	3719	R	M-6	M	6	1	0	0	0	0	1	0	0	1	0
12	Chevrolet Cruze LS	4	Sedan	L4	4	26	38	1400	138	181.0	70.7	58.1	3097	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
13	Chevrolet Impala LTZ	4	Sedan	V6	6	19	29	3600	305	201.3	73.0	58.9	3800	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
14	Chevrolet Malibu 2LT	4	Sedan	L4	4	25	36	2500	196	191.5	73.0	57.6	3532	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
15	Chevrolet Spark LS	4	Hatchback	L4	4	31	39	1200	84	144.7	61.0	62.9	2269	F	M-5	M	5	0	1	0	0	1	0	0	0	1	0
16	Chevrolet Suburban LTZ	4	SUV	V8	8	15	21	5300	320	224.0	80.5	74.4	5674	R	A-6	A	6	0	0	0	1	0	1	0	1	0	0
17	Chrysler 200 Touring LX	4	Sedan	L4	4	20	31	2400	173	191.7	72.5	54.9	3402	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
18	Chrysler 300 S	4	Sedan	V6	6	19	31	3600	300	198.6	75.0	58.7	4029	R	A-8	A	8	0	0	1	0	0	1	0	1	0	0
19	Dodge Charger SXT	4	Sedan	V6	6	19	31	3600	292	199.9	75.0	58.4	3996	R	A-8	A	8	0	0	1	0	0	1	0	1	0	0
20	Dodge Dart Limited	4	Sedan	L4	4	23	35	2400	184	183.9	72.0	57.7	3242	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
21	Fiat 500 Sport	2	Hatchback	L4	4	31	40	1400	135	139.6	64.1	59.8	2434	F	M-5	M	5	0	1	0	0	1	0	0	0	1	0
22	Ford Fiesta S	4	Hatchback	L4	4	29	39	1600	120	159.7	67.8	58.1	2575	F	A-6	A	6	0	1	0	0	1	0	0	1	0	0
23	Ford Focus SE	4	Sedan	L4	4	27	37	2000	160	178.5	71.8	57.7	2960	F	M-5	M	5	0	0	1	0	1	0	0	0	1	0
24	Ford Mustang GT	2	Coupe	V8	8	15	26	5000	420	188.5	73.9	55.8	3618	R	M-6	M	6	1	0	0	0	0	1	0	0	1	0
25	Ford Taurus	4	Sedan	V6	6	19	29	3500	288	2029	76.2	60.7	4054	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
26	Honda Accord LX	4	Sedan	L4	4	24	34	2356	185	191.4	72.8	57.7	3192	F	M-6	M	6	0	0	1	0	1	0	0	0	1	0
27	Honda CRV LX	4	SUV	L4	4	23	31	2354	185	178.3	71.6	64.7	3305	F	A-5	A	5	0	0	0	1	1	0	0	1	0	0
28	Hyundai Azera Limited	4	Sedan	V6	6	19	29	3300	293	193.3	73.2	57.9	3605	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
29	Hyundai Genesis 5.0	4	Sedan	V8	8	15	23	5000	429	196.5	74.4	58.3	4240	R	A-8	A	8	0	0	1	0	0	1	0	1	0	0
30	Hyundai Santa Fe GLS	4	SUV	V6	6	18	25	3300	290	193.1	74.2	66.9	3933	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
31	Infiniti Q60	4	Coupe	V6	6	19	27	3700	330	183.1	71.8	54.8	3633	R	A-7	A	7	1	0	0	0	0	1	0	1	0	0
32	Infiniti QX50	4	SUV	V6	6	17	25	3700	325	182.3	71.0	61.9	3790	R	A-7	A	7	0	0	0	1	0	1	0	1	0	0
33	Jaguar F-Type	2	Coupe	V6	6	20	28	3000	340	176.0	75.7	51.5	3477	R	A-8	A	8	1	0	0	0	0	1	0	1	0	0
34	Jeep Compass Limited	4	SUV	L4	4	21	28	2400	172	175.1	71.4	65.0	3258	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
35	Jeep Grand Cherokee Limited	4	SUV	V6	6	17	25	3600	290	189.8	76.5	68.1	4685	R	A-8	A	8	0	0	0	1	0	1	0	1	0	0
36	Kia Forte LX	4	Sedan	L4	4	25	36	1797	148	179.5	70.1	56.5	2776	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
37	Kia Soul	4	Hatchback	L4	4	24	30	1600	138	163.0	70.9	63.0	2615	F	M-6	M	6	0	1	0	0	1	0	0	0	1	0
38	Kia Sportage LX	4	SUV	L4	4	21	30	2359	176	174.8	73.0	64.4	3186	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
39	Land Rover Range Rover Sport	4	SUV	V8	8	13	19	5000	510	196.8	81.6	72.3	5137	A	A-8	A	8	0	0	0	1	0	0	1	1	0	0
40	Lexus IS 250	2	Sedan	V6	6	21	30	2500	204	183.7	71.3	56.3	3461	R	A-6	A	6	0	0	1	0	0	1	0	1	0	0
41	Lexus LS 460	4	Sedan	V8	8	16	24	4600	386	200.0	73.8	58.1	4233	R	A-8	A	8	0	0	1	0	0	1	0	1	0	0
42	Lexus RX 350	4	SUV	V6	6	18	25	3500	270	187.8	74.2	66.7	4178	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
43	Lincoln MKT	4	SUV	V6	6	17	25	3700	303	207.6	76.0	67.4	4702	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
44	Lincoln MKZ	4	Sedan	L4	4	22	33	2000	240	194.1	73.4	58.2	3713	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
45	Lincoln Navigator	4	SUV	V8	8	14	20	5400	310	208.4	78.8	78.3	5794	R	A-6	A	6	0	0	0	1	0	1	0	1	0	0
46	Mazda 2	4	Hatchback	L4	4	28	34	1500	100	155.5	66.7	58.1	2306	F	M-5	M	5	0	1	0	0	1	0	0	0	1	0
47	Mazda CX-5 Sport	4	SUV	L4	4	26	32	2000	155	179.3	72.4	67.3	3194	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
48	Mercedes-Benz C-250	4	Sedan	L4	4	22	31	1800	201	180.8	69.7	56.9	3428	R	A-7	A	7	0	0	1	0	0	1	0	1	0	0
49	Mercedes-Benz CL600	2	Coupe	V12	2	12	18	5500	510	200.6	84.2	55.8	4894	R	A-5	A	5	1	0	0	0	0	1	0	1	0	0
50	Mercedes-Benz ML350	4	SUV	V6	6	17	22	3500	302	189.1	84.3	70.7	4751	R	A-7	A	7	0	0	0	1	0	1	0	1	0	0
51	Mini-Cooper	2	Hatchback	L4	4	29	37	1600	121	146.6	66.3	55.4	2605	F	M-6	M	6	0	1	0	0	1	0	0	0	1	0
52	Mitsubishi Outlander Sport SE	4	SUV	L4	4	25	31	2400	166	183.3	70.9	66.1	3296	F	CVT	C		0	0	0	1	1	0	0	0	0	1
53	Nissan Armada SV	4	SUV	V8	8	13	19	5600	317	207.7	79.3	77.2	5267	R	A-5	A	5	0	0	0	1	0	1	0	1	0	0
54	Nissan Cube S	4	Hatchback	L4	4	25	30	1800	127	156.7	66.7	65.0	2789	F	M-6	M	6	0	1	0	0	1	0	0	0	1	0
55	Nissan Maxima SV	4	Sedan	V6	6	19	26	3500	290	190.6	73.2	57.8	3570	F	CVT	C		0	0	1	0	1	0	0	0	0	1
56	Nissan Murano SV	4	SUV	V6	6	18	24	3500	260	189.9	74.1	67.0	4011	F	CVT	C		0	0	0	1	1	0	0	0	0	1
57	Nissan Versa S	4	Sedan	L4	4	27	36	1600	109	175.4	66.7	59.6	2363	F	M-5	M	5	0	0	1	0	1	0	0	0	1	0
58	Porsche Cayenne	4	SUV	V6	6	15	22	3600	300	190.8	76.3	67.4	4398	A	M-6	M	6	0	0	0	1	0	0	1	0	1	0
59	Scion FR-S	2	Coupe	L4	4	25	34	2000	200	166.7	69.9	50.6	2806	R	A-6	A	6	1	0	0	0	0	1	0	1	0	0
60	Scion iQ	2	Hatchback	L4	4	36	37	1329	94	120.1	66.1	59.1	2127	F	CVT	C		0	1	0	0	1	0	0	0	0	1
61	Scion XD	4	SUV	L4	4	27	33	1798	128	154.7	67.9	59.4	2665	F	A-4	A	4	0	0	0	1	1	0	0	1	0	0
62	Suburu Forester 2.5i Limited	4	SUV	L4	4	24	32	2500	170	180.9	70.7	68.2	3419	A	CVT	C		0	0	0	1	0	0	1	0	0	1
63	Suburu Legacy 2.5i Limited	4	Sedan	L4	4	24	32	2500	173	187.2	71.7	59.3	3427	A	CVT	C		0	0	1	0	0	0	1	0	0	1
64	Toyota Camry XLE	4	Sedan	L4	4	25	35	2500	178	189.2	71.7	57.9	3280	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
65	Toyota Land Cruiser	4	SUV	V8	8	13	18	5700	381	194.9	77.6	74.0	5765	A	A-6	A	6	0	0	0	1	0	0	1	1	0	0
66	Toyota RAV4 XLE	4	SUV	L4	4	24	31	2500	176	179.9	72.6	67.1	3465	F	A-6	A	6	0	0	0	1	1	0	0	1	0	0
67	Toyota Yaris	3	Hatchback	L4	4	30	37	1500	106	153.5	66.7	59.4	2295	F	M-5	M	5	0	1	0	0	1	0	0	0	1	0
68	Volkswagen Beetle 2.5L	2	Coupe	L4	4	22	29	2500	170	168.4	71.2	58.6	3038	F	A-6	A	6	1	0	0	0	1	0	0	1	0	0
69	Volkswagen Jetta SE	4	Sedan	L4	4	25	36	1800	170	182.2	70.0	57.2	3070	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
70	Volkswagen Toureg V6 Sport	4	SUV	V6	6	17	23	3600	280	188.8	76.4	68.2	4711	A	A-8	A	8	0	0	0	1	0	0	1	1	0	0
71	Volkswagen Passat SE	4	Sedan	L4	4	24	34	1800	170	191.6	72.2	58.5	3230	F	A-6	A	6	0	0	1	0	1	0	0	1	0	0
		unusual		unusual												does not apply