Question

HELL (12-105) An articl Society (1992, Vol. 75 immobilizing che sors, and the samples 5 An article in the Journal of the American Ceramics 1992, Vol. 75, pp. 112-116) describes a process for lizing chemical or nuclear wastes in soil by dissolving contaminated soil into a glass block. The authors mix Cao solo with soil and model viscosity and electrical conduc- The electrical conductivity model involves six regres- nd the sample consists of n = 14 observations. For the six-regressor model, suppose that SS, = 0.50 and R2 = 0.94. Find SS, and SS2, and use this information to test for significance of regression with a = 0.05. What are your conclusions? pose that one of the original regressors is deleted from the model, resulting in R' = 0.92. What can you conclude about the contribution of the variable that w about 0 Univulvl 1 c wandbicial Wassemoved Answer this question by calculating an F-statistic. Does deletion of the regressor variable in part (b) result in a smaller value of MS, for the five-variable model, in

Answer 1

Answer: ---- Date: ---29/3/2020 a) The multiple regression of electrical conductivity model consists of regressors to The number of observations n=14 SS, = 0.50 and R = 0.94 SSR = R?* SS, = 0.47 SS = 0.03 Test for testing the regression at a = 0.05 H, = B = B, = .... = B = 0 H, = B, 70 SSR MS, 0.078 -18.14 Test statistic F= 0.0043 (n-p) Since calculated value is more than table value we reject H

b) SS, = 0.50 and R = 0.92 SSR = R² * SS, = 0.46 SS, = 0.04 Test for testing the regression at a = 0.05 H, = B. = B, = .... = B = 0 H, = B, 70 SSR MSX 0.092 = 18.4 Test statistic Fr MS 0.005 *** (n − p) Since calculated value is more than table value we reject H

c) The mean square of reduced observations is 0.005 and mean square of full observations is 0.004