Reference no: EM13624903

An environmental group is interested in studying the effects of engine size (cubic inches) on the gas mileage of cars (mpg). consider the following data collected to determine the effect of engine size (cubic inches) on the gas mileage of cars (mpg).

Gas mileage (mpg)	Engine size (cubic inches)
18.9	350
17.00	350
20.00	250
18.25	351
20.27	225
11.2	440
22.12	231
21.47	262
34.70	89.7
30.4	96.9
16.5	350
36.5	85.3
21.5	171
19.7	258
20.3	140
17.8	302
14.39	500
14.89	440
17.8	350
16.41	318
23.54	231
21.47	360
16.59	400
31.9	96.9
29.4	140
13.27	460
23.9	133.6
19.73	318
13.90	351
13.27	351
13.77	360
16.5	350

A) Draw a scatter plot of the data. Do you think a straight line would be a good fit of this data?

B) Fit a simple linear regression model to the above data that shows how engine size affects gas mileage.

C) Does engine size significantly affect gas mileage? YES or NO? use α = 0.05. How do you know this? What part of you Excel or Minitab output helped you answer this question?

D) using your regression line predict the gas mileage when the engine size is 275 cubic inches.