The Following Is Part of the Results of a Regression

question 40

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  =0.05, test for the significance of the coefficient of advertising.
d.At  =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:

Utility Maximizing

The economic principle where consumers allocate their resources to maximize their overall satisfaction or utility.

Consumption Mix

Refers to the combination of goods and services consumed by an individual or within an economy.

Theory of Consumer Behavior

An economic framework describing how individuals make decisions to allocate their resources on consumption items, based on their preferences, income, and the prices of goods and services.

Diminishing Marginal Utility

The principle that as a consumer increases consumption of a good or service, the incremental satisfaction gained from consuming each additional unit decreases.