Reference no: EM131083971

A US consumer lobby wishes to develop a model to predict gasoline usage, as measured by miles per gallon, based on the weight of the car in pounds. The Excel data file contains data on this for fifty recent models. Use Excel Data Analysis to estimate a linear model for the relationship, a 95% confidence interval for the slope coefficient and a residual plot. State all numerical answers below correct to four decimal places using the Excel output results. 

1. the intercept

2. the slope coefficient

3. the standard error of the estimate

4. Using this model, predict the gasoline usage for a car weighing 1200 pounds. Use all decimal places in your calculation by selecting and using the values of b0 and b1 in the output generated by Excel.

5. Does the prediction involve extrapolating the relationship? Type yes or no.

Data:

MPG	Horsepower	Weight
43.1	48	1985
19.9	110	3365
19.2	105	3535
17.7	165	3445
18.1	139	3205
20.3	103	2830
21.5	115	3245
16.9	155	4360
15.5	142	4054
18.5	150	3940
27.2	71	3190
41.5	76	2144
46.6	65	2110
23.7	100	2420
27.2	84	2490
39.1	58	1755
28.0	88	2605
24.0	92	2865
20.2	139	3570
20.5	95	3155
28.0	90	2678
34.7	63	2215
36.1	66	1800
35.7	80	1915
20.2	85	2965
23.9	90	3420
29.9	65	2380
30.4	67	3250
36.0	74	1980
22.6	110	2800
36.4	67	2950
27.5	95	2560
33.7	75	2210
44.6	67	1850
32.9	100	2615
38.0	67	1965
24.2	120	2930
38.1	60	1968
39.4	70	2070
25.4	116	2900
31.3	75	2542
34.1	68	1985
34.0	88	2395
31.0	82	2720
27.4	80	2670
22.3	88	2890
28.0	79	2625
17.6	85	3465
34.4	65	3465
20.6	105	3380