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Unformatted text preview: random errors. r=0: there is no systematic linear relation between X and Y. Regression and Correlation of Data Coefficient of determination: form linear for the ) ( ) ( 2 1 2 1 2 2 = = = = yy xx xy n i i n i i S S S y y y y r The coefficient of determination is the fraction of this sum of squares which is explained by the linear relation between and x given by regression of y on x. e.g. r 2 =0.997, which means 0.03% of the sum of squares of deviations in the y-direction from y bar is not explained by the regression. y Example 43...
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