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In Order to Determine Whether or Not the Number of Automobiles

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In order to determine whether or not the number of automobiles sold per day (Y) is related to price (X1 in $1,000), and the number of advertising spots (X2), data were gathered for 7 days. Part of the regression results is shown below.  In order to determine whether or not the number of automobiles sold per day (Y) is related to price (X<sub>1</sub> in $1,000), and the number of advertising spots (X<sub>2</sub>), data were gathered for 7 days. Part of the regression results is shown below.    a. Determine the least squares regression function relating Y to X1 and X2. b. If the company charges $20,000 for each car and uses 10 advertising spots, how many cars would you expect them to sell in a day? c. At  \alpha  = 0.05, test to determine if the fitted equation developed in Part a represents a significant relationship between the independent variables and the dependent variable.d. At 95% confidence, test to see if price is a significant variable.e. At 95% confidence, test to see if the number of advertising spots is a significant variable.f. Determine the multiple coefficient of determination.
a. Determine the least squares regression function relating Y to X1 and X2.
b. If the company charges $20,000 for each car and uses 10 advertising spots, how many cars would you expect them to sell in a day?
c. At α\alpha = 0.05, test to determine if the fitted equation developed in Part a represents a significant relationship between the independent variables and the dependent variable.d. At 95% confidence, test to see if price is a significant variable.e. At 95% confidence, test to see if the number of advertising spots is a significant variable.f. Determine the multiple coefficient of determination.


Definitions:

Percentage of Sales Approach

A financial forecasting method where various financial statement items are predicted as a percentage of sales.

Retained earnings

Earnings accumulated by a company up to the present moment, subtracting any dividends or payouts made to investors.

Sustainable Growth Rate

The maximum rate at which a company can grow its sales, earnings, and dividends without incurring new debt.

Debt-equity Ratio

An indicator that differentiates the financing portion between debt and equity for company assets.

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