Question
The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses
The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price and age of 12 used sedans to estimate Price =0+1Age +.
Age | Price (in thousands) |
9 | 8.1 |
7 | 6 |
11 | 3.6 |
12 | 4 |
8 | 5 |
7 | 10 |
8 | 7.6 |
11 | 8 |
10 | 8 |
12 | 6 |
6 | 8.6 |
6 | 8 |
Here is the output:
SUMMARY OUTPUT | ||||||
Regression Statistics | ||||||
Multiple R | 0.543646332 | |||||
R Square | 0.295551334 | |||||
Adjusted R Square | 0.225106468 | |||||
Standard Error | 1.732105125 | |||||
Observations | 12 | |||||
ANOVA | ||||||
| df | SS | MS | F | Significance F | |
Regression | 1 | 12.58728503 | 12.58729 | 4.195499 | 0.067701617 | |
Residual | 10 | 30.00188164 | 3.000188 | |||
Total | 11 | 42.58916667 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% |
Intercept | 11.17723824 | 2.143271172 | 5.215037 | 0.000393 | 6.401732492 | 15.952744 |
Age | -0.47875569 | 0.233734146 | -2.04829 | 0.067702 | -0.99954782 | 0.04203644 |
a.What is the point estimate for1? Interpret this value.
b.What is the sample regression equation?
c.Predict the selling price of a 5-year-old sedan.
d. What is the coefficient of determination?
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