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Unformatted text preview: 2 , is the fraction of the variation in the values of y that is explained by leastsquares regression of y on x. r 2 = SST  SSE SST Facts about Leastsquares Facts about Leastsquares Regressions Regressions Fact 1: The distinction between explanatory and response variable is essential in regression. Fact 2: There is a close connection between correlation and the slope of the leastsquares line. A change of one standard deviation of x corresponds to a change of r standard deviations in y. Facts of Regression Facts of Regression (continued) (continued) Fact 3. The leastsquares regression line always passes through the point (x,y). Fact 4. The square of the correlation, r 2 , is the fraction of the variation in the values of y that is explained by the leastsquares regression of y on x....
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 Spring '10
 Dr.Driscoll
 Statistics, Linear Regression

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