Refer to the problem of modeling the relationship between home size (x) and electrical usage (y) in
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Refer to the problem of modeling the relationship between home size (x) and electrical usage (y) in Example 12.7 (p. 717). The data for n = 15 homes are repeated in Table 12.7. MINITAB printouts for a straight-line model and a quadratic model fitted to the data are shown in Figures 12.34a and 12.34b, respectively. The residuals from these models are highlighted in the printouts. The residuals are then plotted on the vertical axis against the variable x, size of home, on the horizontal axis in Figures 12.35a and 12.35b.
a. Verify that each residual is equal to the difference between the observed y-value and the estimated mean value yn.
b. Analyze the plots of the residuals.
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