Consider the Following Data Values of Variables X and Y

question 43

Essay

Consider the following data values of variables x and y .

a. Calculate the coefficient of determination, and describe what this statistic tells you about the relationship between the two variables.
b. Calculate the Pearson coefficient of correlation. What sign does it have? Why?
c. What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

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Definitions:

Market Value

The current price at which an asset or service can be bought or sold in a marketplace.

Treasury Stock

Stocks that the company originally sold and then bought back, decreasing the number of shares available for trade in the public market.

Cash Dividend

A distribution of earnings made by a company to its shareholders, typically in the form of profits.

Retained Earnings

The portion of a company's profits that is held or retained and not paid out as dividends to shareholders, often used for reinvestment in the business, debt reduction, or share repurchases.