Develop a model to predict gasoline usage

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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

Reference no: EM131083971

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