A study was conducted to build a regression model to predict miles per gallon (MPG) of vehicles. To develop the model, you obtained MPG of 43 random vehicles. In addition, you collected the following information (see "Homework # 5 data" Excel file):

- Length: vehicle length (inches)

- Width: vehicle width (inches)

- Weight: vehicle weight (pounds)

- Made in Japan: whether manufactured in Japan or not

Fit a multiple regression model using all four independent variables. For made in Japan variable create an indicator/dummy variable with not made in Japan as the reference/baseline group.

(a) Provide the equation of the line fit

a.

b.

c.

d.

What proportion of variability in the dependent variable is explained by the independent variables?

a.

67.14%

b.

68.21%

c.

65.77%

d.

70.27%

Is the regression model statistically significant?

a.

No, because the p-value for the F-test is less than alpha

b.

Yes, because the p-value for the F-test is greater than alpha

c.

No, because the p-value for the F-test is greater than alpha

d.

Yes, because the p-value for the F-test is less than alpha

Is the variable "width" a significant predictor of MPG?

a.

Yes, because zero is not a possible value within the lower and upper limits of the confidence interval

b.

No, because zero is not a possible value within the lower and upper limits of the confidence interval

c.

Yes, because zero is a possible value within the lower and upper limits of the confidence interval

d.

No, because zero is a possible value within the lower and upper limits of the confidence interval

Is the variable "weight" a significant predictor of MPG?

a.

No, because its p-value is less than alpha

b.

Yes, because its p-value is greater than alpha

c.

Yes, because its p-value is less than alpha

d.

No, because its p-value is greater than alpha

MPG of 43 Randomly Selected Vehicles
Obs	MPG	Length	Width	Weight	Made in Japan
1	20	192	69	3450	Yes
2	23	183	59	3320	Yes
3	19	176	69	3390	No
4	20	195	73	3350	No
5	18	187	74	4230	No
6	18	201	75	4050	No
7	19	180	74	3255	No
8	14	228	79	4935	No
9	15	192	75	4660	No
10	17	199	79	4660	No
11	18	201	79	4210	No
12	13	228	80	5300	No
13	13	206	79	5900	No
14	26	168	67	2760	No
15	15	192	75	4660	No
16	21	190	72	3390	Yes
17	18	201	76	4315	Yes
18	24	177	68	2880	No
19	16	189	77	4295	Yes
20	15	208	76	4965	Yes
21	18	200	83	3805	No
22	25	166	66	2295	No
23	17	175	71	3640	No
24	18	177	68	3390	Yes
25	13	193	76	5000	No
26	18	187	72	3925	Yes
27	19	187	70	3355	Yes
28	17	203	73	4195	No
29	20	200	73	3340	No
30	20	188	69	3285	Yes
31	20	170	72	3345	Yes
32	15	183	72	4270	Yes
33	16	178	70	4315	Yes
34	25	186	70	3095	No
35	28	172	70	2805	No
36	24	185	67	2855	No
37	21	193	70	3575	Yes
38	17	184	70	3590	Yes
39	23	170	68	2570	Yes
40	26	171	70	2985	Yes
41	19	200	77	4120	Yes
42	34	172	68	3045	No
43	20	186	72	3690	No