THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 4

Short Answer

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Suppose you are interested in determining the factors that influence the time required to prepare a tax return,and developed the model: Y = β₀ + β₁X₁ + β₂X₂ + β₃X₃ + β₄X₄ + ε,where Y is the amount of time (in minutes),X₁ is the income of the individual (in thousands of dollars),X₂ is the age of the individual,X₃ is the number of people living in the household,and X₄ is a dummy variable that takes the value 1,if the individual owns his or her own home.After interviewing 40 accountants,you get the following results:
= 17.2 + 3.8x₁ - 1.04x₂ + 2.15x₃ + 15.1x₄,
= 5.3,
= 0.13,
= 0.33,
= 1.51,
= 4.7,SSR = 164.2,SSE = 200.7,and R² = 0.45.
-Develop a 95% confidence interval for the population slope β₃.

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Definitions:

Return on Investment

A measure of the profitability of an investment, calculated as the net income from the investment divided by the cost of the investment.

Residual Income

Income that continues to be generated after the initial effort or investment has been completed, often used in the context of investments or intellectual property.

Net Operating Income

A measure of a company's profitability from its ordinary, core operations, excluding expenses and incomes from financing and investing activities.

Investment

The allocation of resources, such as capital or time, in the expectation of generating an income or profit.