Just want to double check my answer, Answer only. thank you .
Based on the accompanying leaps output, the variables contained in the best 3 variable model are a. x1, x5 and x8. O b. x1, x5 and x7. O c. x1, x2 and x8. O d. x5, x6 and x8. O e. x3, x4 and x5.The values of AIC and BIC for the eight models identified in the accompanying leaps output are as follows. No. of variables AIC BIC 3435.1 8449.9 8284.9. 8304.6 8055.4 8080.1 7894.1 7923.7 7764.0 7798.6 7757.9 7797.4 7750.5 7803.8 77579 7807.3 Based on this information, the most reasonable choice of model would be O a. the best one-variable model. O b. the best two-variable model. O c. the best five-variable model. O d. the best six-variable model. O e. the model with all eight independent variables.The compressive strength y of concrete was measured in the laboratory for n=1030 concrete samples corresponding to different combinations of 8 design variables x1, x2,.... x8. The resulting data were put in an R data frame called concrete, whose first 8 columns correspond to x1..... *8 and whose ninth column contains y. Some R output for the data are as follows: > X=concrete[, 1:8] > y=concrete[.9] > leaps(X.y.method="r2",nbest=1) Swhich 2 3 4 5 6 7 8 1 TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 2 TRUE FALSE FALSE FALSE TRUE FALSE FALSE FALSE 3 TRUE FALSE FALSE FALSE TRUE FALSE FALSE TRUE 4 TRUE TRUE FALSE TRUE FALSE FALSE FALSE TRUE 5 TRUE TRUE TRUE TRUE FALSE FALSE FALSE TRUE 6 TRUE TRUE TRUE TRUE TRUE FALSE FALSE TRUE 7 TRUE TRUE TRUE TRUE TRUE TRUE FALSE TRUE 8 TRUE TRUE TRUE TRUE TRUE TRUE TRUE TRUE Slabel [1] "(Intercept)" "1" "2" [6] "5" Ssize [1)234 567 8 9 Sr2 [1] 0.2478368 0.3511737 0.4817538 0.5577500 0.6108756 0.6140224 0.6141795 [8] 0.6155199 Also, Zi=(1-V)2=287175.2 and SSE for the model with all 8 independent variables is 110413. Use this information to answer questions 7 through 13. When all 8 independent variables are used in the model, the value of R2 O a. is 0.3845. O b. is 0.6155. O c. is 0.6247. O d. is 0.9155. O e. cannot be determined from the information given.The F-statistic used to test the null hypothesis that none of the 8 variables is useful is closest to O a. 1.27. O b. 10.49. O c. 73.52. d. 204.32. O e. 400.15.At the 0.05 level of significance, we would conclude that at least one of the eight independent variables should be in the model if the F-statistic from question 8 is O a. less than 2.93. O b. at least 2.93. O c. less than 1.95. O d. at least 1.05. e. at least 2.02