From the following information, calculate SS residual , and then calculate the s

Question

From the following information, calculate SSresidual, and then calculate the standard error of estimate from the following information [G&W Chp. 16]:

SSy = 24, r = +0.30, n = 20 pairs of X and Y values

SSresidual = 21.84 ; standard error of estimate = 1.10  

SSresidual = 21.84 ; standard error of estimate = 1.50

SSresidual = 21.84 ; standard error of estimate = 1.65

SSresidual = 36 ; standard error of estimate = 1.10

SSresidual = 36 ; standard error of estimate = 1.50

SSresidual = 36 ; standard error of estimate = 1.65

SSresidual = 21.84 ; standard error of estimate = 1.10  

SSresidual = 21.84 ; standard error of estimate = 1.50

SSresidual = 21.84 ; standard error of estimate = 1.65

SSresidual = 36 ; standard error of estimate = 1.10

SSresidual = 36 ; standard error of estimate = 1.50

SSresidual = 36 ; standard error of estimate = 1.65

Explanation / Answer

SSr =SSy*(1-r2) =24*(1-0.09)=21.84

and std error of estimate =sqrt(SSresidaul/(n-2)) =sqrt(21.84/(20-2))=1.10

hence correct option is : SSresidual = 21.84 ; standard error of estimate = 1.10

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