A sample of 20 automobiles was taken and the miles per gallon (MPG), horsepower (HP), and total weight (pounds) were recorded.

1. Develop a linear regression model to predict MPG using horsepower as the only independent variable. Is your model a good predicting equation? How do you know? Predict MPG using the model with HP = 100.
2. Develop a linear regression model to predict MPG using weight as the only independent variable. Is your model a good predicting equation? How do you know? Predict MPG using the model with weight = 3,000 ponds.
3. Develop a multiple regression model to predict MPG using horsepower and weight as independent variables. Is your model a good predicting equation? How do you know?
4. Predict MPG using the model with HP = 100 and weight = 3,000 pounds.

MPG	Horsepower	Weight
44	67	1844
44	50	1998
40	62	1752
37	69	1980
37	66	1797
34	63	2199
35	90	2404
32	99	2611
30	63	3236
28	91	2606
26	94	2580
26	88	2507
25	124	2922
22	97	2434
20	114	3248
21	102	2812
18	114	3382
18	142	3197
16	153	4380
16	139	4036