A Sample of N = 15 Pairs of X and Y

question 37

Essay

A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45 with SS_Y = 90.
a. If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SS_regression) and how much would not be predicted (SS_residual)?
b. Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)

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Definitions:

Adjusting Entry

Journal entries made in accounting records at the end of an accounting period to allocate income and expenditures to the period in which they actually occurred.

Single-Step Income Statement

A simplified income statement that calculates net income by subtracting expenses from revenues in one step.

Statement of Owner's Equity

A financial statement detailing changes in the equity of a company's owner(s) over time, including contributions, withdrawals, and the impacts of net income or loss.

Administrative Expenses

Overhead expenses not directly attributable to specific business operations, such as salaries of senior executives.