Residual Analysis 575 13.44 THE SERVICE TIME CASE SrvcTime e residuals be The re

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Residual Analysis 575 13.44 THE SERVICE TIME CASE SrvcTime e residuals be The residuals given by the service time prediction equation= 11.4641 + 24.6022x are listed in Table 13.9(a). a In this exercise we construct a normal plot of violations of the these residuals. To construct this plot, we must first arrange the residuals in order from smallest to largest. These ordered residuals are given in Table 13.9(b). Denoting the ith ordered residual as e) i 1,2,.. . 11). we next compute for each value of i the point zuor These computations are summa- rized in Table 13.9(b). Show how z)46 and «io) 1.05 have been obtained. tion? Time e prediction listed in s a and ). Do the ression 14) b The ordered residuals (the e's) are plotted against the 's in Figure 13.28(c). Does this figure indicate a violation of the normality assumption? Explain. Service Time Model Residual and Normal Plots FIGURE 13.28 als and (a) Residual plot versus Residual -0.9 -2.7 ed 9.9 0.7

Explanation / Answer

Answer to question# 13.28)

Difference between confidence interval & prediction interval

Confidence interval , tells us about the confidence we have in the range of values we got. It tells us that we are 95% sure that the value of slope or value of Y lies in this interval only

Where as the prediction interval , deals with the prediction range of Y. It tells about the true error term , and includes the same in the interval , that is the reason why we will always get a wider prediction interval as compared to the confidence interval for the same value

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