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10.9 Formula List

SSxx=Σx21n(Σx)2  SSxy=Σxy1n(Σx)(Σy)  SSyy=Σy21n(Σy)2

Correlation coefficient:


Least squares regression equation (equation of the least squares regression line):

y^=β^1x+β^0 whereβ^1=SSxySSxx andβ^0=y-β^1x-

Sum of the squared errors for the least squares regression line:


Sample standard deviation of errors:


100(1α)% confidence interval for β1:


Standardized test statistic for hypothesis tests concerning β1:


Coefficient of determination:


100(1α)% confidence interval for the mean value of y at x=xp:


100(1α)% prediction interval for an individual new value of y at x=xp: