Question
Tom is considering buying a used car but he is concerned about the repair costs. To investigate how repair cost is related to the age
Tom is considering buying a used car but he is concerned about the repair costs. To investigate how repair cost is related to the age of a car, he has collected the following data:
Repairs (y) $. Age(x) month
327.67. 110
376.68. 113
392.52. 114
443.14. 134
342.62. 93
476.16. 141
324.74. 112
338.98. 114
433.45. 110
526.37. 142
362.42. 96
448.76. 139
335.27. 89
350.94. 93
291.81. 91
467.80. 109
474.48. 138
354.15. 83
420.11. 100
416.04. 137
Note: Round all of your numerical answers below to three decimal places.
(a)Fill out the blanks in the regression below that Tom has estimated based on the least squares approach:
= _______________ + _______________ xAge
(b)Interpret the economic implication of the estimated coefficient on "Age" in Part (a).
(c)The standard error of the estimate of the simple regression model is __________.
(d)The regression result indicates that age of the car ____________ (has or does not have) explanatory power for repair cost at the 5% significance level because thep-value of the coefficient is ___________ (less or greater) than 5%.
(e)The regression result suggests that the model can explain __________% of the changes in repair cost.
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