Jensen (1977) and Weisberg (1985, p. 101) considered data on the outside diameter of crank pins that were produced in an industrial process. The diameters of batches of crank pins were measured on various days; if the industrial process is “under control” the diameters should not depend on the day they were measured. A subset of the data is given in Table 8.5 in a format consistent with performing a regression analysis on the data. The diameters of the crank pins are actually .742+yi j10−5 inches, where the yi js are reported in Table 8.5. Perform polynomial regressions on the data. Give two lack-of-fit tests for the simple linear regression not based on polynomial regression.