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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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