Given the Least Squares Regression Line $\hat { y } = 2.48 - 1.63 x$

question 221

Multiple Choice

Given the least squares regression line $\hat { y } = 2.48 - 1.63 x$ ,and a coefficient of determination of 0.81,the coefficient of correlation is:

• A) -0.66
• B) 0.81
• C) -0.90
• D) 0.90

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Definitions:

Independent Variables

Variables in an experiment or model that are manipulated or categorized to determine their effect on dependent variables.

Determination

Generally refers to the process of firm decision-making or the resolving of a problem; in statistics, it may refer to the coefficient of determination.

SSR

Sum of Squared Residuals; a measure of the discrepancy between the data and an estimation model.

F Statistic

The F statistic is a value derived from an ANOVA test used to determine whether the means of several groups are equal by comparing the variance between groups to the variance within groups.