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

question 25

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.If the company uses $40,000 in advertisement and has 30 salespersons, what are the expected sales? Give your answer in dollars.
b.At $\alpha$ = 0.05, test for the significance of the coefficient of advertising.
c.At $\alpha$ = 0.05, test for the significance of the coefficient of the number of salespeople.

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Definitions:

Sample Sizes

The number of observations or units chosen from a larger population for the purpose of statistical analysis.

Weighted Average

An average resulting from the multiplication of each component by a factor reflecting its importance.

Z-score

A numerical metric indicating how a particular value compares to the average of a dataset, expressed by the number of standard deviations it lies from the mean.

P-value

The likelihood of encountering experimental results that are at least as significant as the actually observed results, given the null hypothesis is assumed to be accurate.