In a Simple Linear Regression Analysis,the Following Sums of Squares

question 59

Multiple Choice

In a simple linear regression analysis,the following sums of squares are produced: $\sum \left( Y _ { i } - \bar { Y } \right) ^ { 2 } = 400 , \sum \left( Y _ { i } - Y \right) ^ { 2 } = 80 , \sum \left( \bar { Y } _ { i } - \bar { Y } \right) ^ { 2 } = 320$
The proportion of the variation in Y that is explained by the variation in X is:

• A) 20%
• B) 80%
• C) 25%
• D) 50%
• E) None of the above

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Definitions:

Revenues

The total amount of money received by a company for goods sold or services provided during a certain time period.

Equity

The residual interest in the assets of an entity after deducting liabilities, often referred to as shareholder's equity or owner's equity.