3) The data in Table P5.11 have been taken from T Kunungi, T. Tamura, and T. Nai
ID: 3057615 • Letter: 3
Question
3) The data in Table P5.11 have been taken from T Kunungi, T. Tamura, and T. Naito, Chem. Eng. Prog. 57, 43, 1961. Assume a linear model and determine the best estimates of and the 's, in other words, compute a and the b's; the confidence limits on and&; find the multiple correlation coef- cient; carry out an analysis of variance; determine if any of the variables can be dropped from the model; and, finally, give the confidence interval at selected values of the independent variables for -E(Y| x), TAbLE P5.11 Conversion of n-heptane to Acetylene (percent) Reactor Temperature Ratio of Ha to n-heptane (mole ratio) 2 Contact Time sec X3 49.0 50.2 50.5 48.5 47.5 44.5 28.0 31.5 34.5 35.0 38.0 38.5 15.0 17.0 20.5 29.5 1300 1300 1300 1300 1300 1300 1200 1200 7.5 9.0 11.0 13.5 17.0 23.0 5.3 7.5 11.0 13.5 17.0 23.0 5.3 7.5 11.0 17.0 0.012 0.012 0.0115 0.013 0.0135 0.012 0.040 0.038 0.032 0.026 0.034 0.041 0.084 0.098 0.092 0.086 1200 1200 1200 1100 1100 1100 1100Explanation / Answer
3) The data in Table P5.11 have been taken from T Kunungi, T. Tamura, and T. Naito, Chem. Eng. Prog. 57, 43, 1961. Assume a linear model and determine the best estimates of and the 's, in other words, compute a and the b's; the confidence limits on and&; find the multiple correlation coef- cient; carry out an analysis of variance; determine if any of the variables can be dropped from the model; and, finally, give the confidence interval at selected values of the independent variables for -E(Y| x), TAbLE P5.11 Conversion of n-heptane to Acetylene (percent) Reactor Temperature Ratio of Ha to n-heptane (mole ratio) 2 Contact Time sec X3 49.0 50.2 50.5 48.5 47.5 44.5 28.0 31.5 34.5 35.0 38.0 38.5 15.0 17.0 20.5 29.5 1300 1300 1300 1300 1300 1300 1200 1200 7.5 9.0 11.0 13.5 17.0 23.0 5.3 7.5 11.0 13.5 17.0 23.0 5.3 7.5 11.0 17.0 0.012 0.012 0.0115 0.013 0.0135 0.012 0.040 0.038 0.032 0.026 0.034 0.041 0.084 0.098 0.092 0.086 1200 1200 1200 1100 1100 1100 1100
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