Statistics Homework Solutions
Problem
#8345

Word Problem

Regression questions

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The owner of Maumee Motors wants to study the relationship between the
age of a car and its selling price. Listed below is a random sample of
12 used cars sold at Maumee Motors during the last year.

CAR AGE SELLING PRICE ($000) CAR AGE SELLING PRICE

1 9 8.1 7 8 7.6

2 7 6.0 8 11 8.0

3 11 3.6 9 10 8.0

4 12 4.0 10 12 6.0

5 8 5.0 11 6 8.6

6 7 10.0 12 6 8.0

1. If we want to estimate selling price based on the age of the car,
which variable is the dependent variable and which is the independent
variable?

2. Draw a scatter diagram.

3. Determine the coefficient of correlation.

4. Determine the coefficient of determination

5. Interpret these statistical measures. Does it surprise you that the
relationship is inverse?

6. Determine the regression equation

7. Estimate the selling price of a 10 year old car.

8. Interpret the regression equation.

9. Determine the standard error of estimate.
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