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For simple linear regression, with dataxi, yi,-1, . . . , n, and mode-Z = / 0 +

ID: 3044845 • Letter: F

Question

For simple linear regression, with dataxi, yi,-1, . . . , n, and mode-Z = / 0 + |Xi + e i , the multiple correlation coefficient is define as SS(Res) R2 = 1-55(Totan An identity for simple linear regression is that R2 is the same as square of the sample correlation of the x and y variables Part a) Which of the following is a correct statement used in the proof of the claim.? By choosing the items in a correct order, you will derive the claimed result. Note that an identity for the residual SD (previous homework question) is being used Choose all appropriate items A. SS(Res) = (n-2) B. SS(Total) = (n-2) C. SS(Total) = s E. SS(Res) = (n-1 )( 1- s3 G. SS(Total)-(n-1 )s H. SS(Res) = (n-1)os I. None of the above

Explanation / Answer

Option C is correct. We use eauatequ C to prove above claim. Equation C gives the estimate of the standard deviation of Yi

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