The Following Is Part of the Results of a Regression $\alpha$

question 106

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.

a.Write the regression equation.
b.Interpret the coefficients of the estimated regression equation found in Part (a).
c.At $\alpha$ =0.05, test for the significance of the coefficient of advertising.
d.At $\alpha$ =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:

Vertical Analysis

A method of financial statement analysis in which each entry for each of the three major categories of accounts (or financial statements) is represented as a proportion of the total account.

Common-Size Financial Statement

A financial analysis tool that presents all line items as a percentage of a common base figure, making it easier to compare financial statements of different-sized companies.

Vertical Analysis

A method of financial statement analysis in which each entry for a given period is represented as a proportion of a chosen total.

Operating Cycle

The amount of time it takes for a company to purchase inventory, sell it, and convert the sale back into cash.