Question: Linear regression analysis Three least squares linear regression models were fitted to a dataset consisting of 16 observa- tions: y = Po+BIXite; y = Bo+

Linear regression analysis

Three least squares linear regression models were fitted to a dataset consisting of 16 observa- tions: y = Po+BIXite; y = Bo+ 82X2+e; y = Bo+ BiXi+82X2+e; and the corresponding results are as follows: Model Regressors SSReg SSE X1 1566.45 400.55 09 10 H X 2 306.25 1660.75 X1, X2 1872.7 94.3 (a) Obtain the ANOVA table for the full model that includes the decomposition of SSR into extra sum of squares associated with X, and X2|X1. (b) For the full model, compute the coefficient of partial determination of Y on X2 given X1. Interpret it

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