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The following data represent a company's yearly sales based on its advertising expenditure over a period of 8 years. Advertising Expenditure (in $10,000) Sales in
The following data represent a company's yearly sales based on its advertising expenditure over a period of 8 years.
Advertising Expenditure (in $10,000) | Sales in Millions of Dollars |
32 | 12 |
33 | 15 |
34 | 18 |
34 | 17 |
35 | 16 |
37 | 22 |
39 | 21 |
40 | 24 |
a. | Develop a complete scatter diagram displaying the relationship (if any) that advertising has on total sales. |
b. | Explain what the scatter diagram shows regarding the relationship (if any) between sales and advertising. |
c. | Compute the correlation coefficient. |
d. | Compute the estimated regression equation between sales and advertising? |
e. | If the company's advertising expenditure is $400,000, what are the predicted sales in dollars? |
f. | Compute the coefficient of determination. |
g. | Fully interpret the meaning of the coefficient of determination in the context of this problem. |
h. | Does the linear equation seem to be a good predictor for sales? Explain. |
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