Suppose That the Value of R² for an Estimated Regression

question 17

Multiple Choice

Suppose that the value of R² for an estimated regression model is exactly one. Which of the following are true?
(I) All of the data points must lie exactly on the line
(ii) All of the residuals must be zero
(iii) All of the variability of y about is mean have has been explained by the model
(I) The fitted line will be horizontal with respect to all of the explanatory variables

• A) (ii) and (iv) only
• B) (i) and (iii) only
• C) (i), (ii), and (iii) only
• (I), (ii), (iii), and (iv)

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Definitions:

Marginal Tax Rate

The rate at which the last dollar of income is taxed, reflecting the percentage of tax applied to your income for each tax bracket in which you qualify.

Average Tax Rate

The portion of total income that is paid as taxes, calculated by dividing the total amount of taxes paid by the taxpayer's total income.

Taxable Income

The portion of an individual's or entity's income that is subject to taxation by governmental authority after deducting allowable deductions.

Lump-Sum Tax

A tax that is of a fixed amount and does not vary with the taxpayer’s income level or asset value.