Consider the gasoline mileage data in Table B.3. a. Fit a

multiple linear regression model relatmg gasoline milcage y

(miles per gallon) to engine displacement x1 and the number

of carburetor barrels X6. b. Construct the analysis-of-variance

table and test for significance of regression. c. Calculate R2

and R2 adjusted for this model. Compare this to the R and the RAdjusted

for the simple linear regression model relating mileage to

engine displace- ment in Problem 2.4. d. Find a 95% CI for

B1. e. Compute the t statistics for testing H0: B1 = 0 and H0:

B6=0. What conclusions can you draw? f. Find a 95% CI on

the mean gasoline mileage when x1 = 275 in3. and x6 = 2

barrels. g. Find a 95% prediction interval for a new

observation on gasoline mileage when Xi = 257 in3. and X6 =

2 barrels.

18.9	350	165	260	8	2.56	4	3	200.3	69.9	3910	1
17	350	170	275	8.5	2.56	4	3	199.6	72.9	3860	1
20	250	105	185	8.25	2.73	1	3	196.7	72.2	3510	1
18.25	351	143	255	8	3	2	3	199.9	74	3890	1
20.07	225	95	170	8.4	2.76	1	3	194.1	71.8	3365	0
11.2	440	215	330	8.2	2.88	4	3	184.5	69	4215	1
22.12	231	110	175	8	2.56	2	3	179.3	65.4	3020	1
21.47	262	110	200	8.5	2.56	2	3	179.3	65.4	3180	1
34.7	89.7	70	81	8.2	3.9	2	4	155.7	64	1905	0
30.4	96.9	75	83	9	4.3	2	5	165.2	65	2320	0
16.5	350	155	250	8.5	3.08	4	3	195.4	74.4	3885	1
36.5	85.3	80	83	8.5	3.89	2	4	160.6	62.2	2009	0
21.5	171	109	146	8.2	3.22	2	4	170.4	66.9	2655	0
19.7	258	110	195	8	3.08	1	3	171.5	77	3375	1
20.3	140	83	109	8.4	3.4	2	4	168.8	69.4	2700	0
17.8	302	129	220	8	3	2	3	199.9	74	3890	1
14.39	500	190	360	8.5	2.73	4	3	224.1	79.8	5290	1
14.89	440	215	330	8.2	2.71	4	3	231	79.7	5185	1
17.8	350	155	250	8.5	3.08	4	3	196.7	72.2	3910	1
16.41	318	145	255	8.5	2.45	2	3	197.6	71	3660	1
23.54	231	110	175	8	2.56	2	3	179.3	65.4	3050	1
21.47	360	180	290	8.4	2.45	2	3	214.2	76.3	4250	1
16.59	400	185	.	7.6	3.08	4	3	196	73	3850	1
31.9	96.9	75	83	9	4.3	2	5	165.2	61.8	2275	0
29.4	140	86	.	8	2.92	2	4	176.4	65.4	2150	0
13.27	460	223	366	8	3	4	3	228	79.8	5430	1
23.9	133.6	96	120	8.4	3.91	2	5	171.5	63.4	2535	0
19.73	318	140	255	8.5	2.71	2	3	215.3	76.3	4370	1
13.9	351	148	243	8	3.25	2	3	215.5	78.5	4540	1
13.27	351	148	243	8	3.26	2	3	216.1	78.5	4715	1
13.77	360	195	295	8.25	3.15	4	3	209.3	77.4	4215	1
16.5	360	165	255	8.5	2.73	4	3	185.2	69	3660	1