The Following Is Part of the Results of a Regression

question 139

Essay

The following is part of the results of a regression analysis involving sales Y in millions of dollars), advertising expenditures X1 in thousands of dollars), and number of salespeople X2) for a corporation. The regression was performed on a sample of 10 observations.
$\begin{array}{lr}&\text { Coefilicient }&\text { Standard Error }\\\text { Constant } & -11.340&20.412 \\\mathrm{X}_{1} & 0.798 &0.332\\\mathrm{X}_{2} & 0.141&0.278\end{array}$
a. Write the regression equation.
b. Interpret the coefficients of the estimated regression equation found in Part a).
c. At α =0.05, test for the significance of the coefficient of advertising.
d. At α =0.05, test for the significance of the coefficient of number of salespeople.
e. If the company uses $50,000 in advertisement and has 800 salespersons, what are the expected sales? Give your answer in dollars.

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Definitions:

Investing Section

Part of a company's cash flow statement that shows cash inflows and outflows related to investments in securities, property, and equipment.

Financing Section

A part of financial statements that includes activities related to issuing debt, repayment of debt, issuing equity, and paying dividends.

Cash Outflow

Pertains to the movement of money out of a business, primarily through expenses, payments to creditors, or investments, leading to a decrease in cash balance.

Financing Activity

Involves transactions related to a business's funding, including obtaining or repaying capital, issuing shares, and paying dividends.