a 1 d e f 9. An ANOVA table for testing linearity of regression is given below: Source of Variation Sum of Squares Degrees of Freedom Mean square Computed f Regression b 800 Error 2.7 Lack of fit 2 Pure error 8 h 0.18 Total 13 (a) [10 pts) Find a, b, c, d, e, f, g, h, i in the table. Give a simple reason for each. (b) 5 pts) Let a be the significance level of the test. Find the range of a so that we conclude that the linear model is adequate. (e) [6 pts) Assume that the ANOVA table above is based on a data set from a simple linear regression model, Y = Bo + Bir te where e is a measurement error. Test H, : 31 = 0 vs. H: B170 with the significance level 0.01 by using the T-statistic. + a 1 d e f 9. An ANOVA table for testing linearity of regression is given below: Source of Variation Sum of Squares Degrees of Freedom Mean square Computed f Regression b 800 Error 2.7 Lack of fit 2 Pure error 8 h 0.18 Total 13 (a) [10 pts) Find a, b, c, d, e, f, g, h, i in the table. Give a simple reason for each. (b) 5 pts) Let a be the significance level of the test. Find the range of a so that we conclude that the linear model is adequate. (e) [6 pts) Assume that the ANOVA table above is based on a data set from a simple linear regression model, Y = Bo + Bir te where e is a measurement error. Test H, : 31 = 0 vs. H: B170 with the significance level 0.01 by using the T-statistic. +