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# Dependent Variables and Independent Variables

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The owner of Maumee Ford-Mercury 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 the dealership during the last year.

Car Age (years) Selling Price (\$0.00)
1 9 8.1
2 7 6.0
3 11 3.6
4 12 4.0
5 8 5.0
6 7 10.0
7 8 7.6
8 11 8.0
9 10 8.0
10 12 6.0
11 6 8.6
12 6 8.0

a. If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable?
b. Draw a scatter diagram.
c. Determine the coefficient of correlation.
d. Determine the coefficient of determination.
e. Interpret these statistical measures. Does it surprise you that the relationship is inverse?

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#### Solution Preview

a. If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable?
b. Draw a scatter diagram

(see ...

#### Solution Summary

The solution explain the steps of how to interpret the statistical measures and how to define the relationship between variables. The solution provides a scatter plot diagram and tables showing summary output.

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