?18 BB Sum of Squares Criterion ?In addition to the value of ?R2,?another measurement used to assess the quality of a model is the ?sum of squares of the residuals.?Recall from Section that a residual is die difference between an observed ?y ?value and the value of ?y ?predicted from the model, which is denoted as?y.?Better models have smaller sums of squares. Refer to the data in Table. a.?Find?(?y? ??)2,the sum of squares of the residuals resulting from the linear model. b.?Find the sum of squares of residuals resulting from the quadratic model. c.?Verify that according to the sum of squares criterion, the quadratic model is better than the linear model. Section Table

Solution 18 BB Step 1 : a) Given, Moore’s law : The number of transistors per square inch on integrated circuits will double approximately every 18 months. The data is given below Co 1 1 1 1 1 1 1 1 2 2 2 2 der 9 9 9 9 9 9 9 9 0 0 0 0 yea 7 7 7 8 8 8 9 9 0 0 0 0 r 1 4 8 2 5 9 3 7 0 2 3 7 2 4 7 4 1 3 7 2 1 8 Pop 2 1 2 2 2 1 1 5 0 0 9 ulat . 5 2 7 0 9 8 0 0 0 0 0 ion 3 0 5 0 0 0 0 0 0 0 0 0 0 0