The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature ( x1 ), the number of days in the month ( x2 ), the average product purity ( x3 ), and the tons of product produced ( x4 ). The past year’s historical data are available and are presented in the following table: regression model is y = -102.7132 + 0.6054X1 + 8.9236X2 + 1.4374 X3 + 0.0136X4 a) Estimate sigma^2 b.) Using ANOVA, test for significance of regression using α=0.05. Determine the critical value of the test statistic (2 decimal places only). c.) Using ANOVA, test for significance of regression using α=0.05. Determine the computed value of the test statistic d) Calculate R^2 for the computed regression model. Express your answer as a number less than 1 (NOT in %). e) Calculate R_adj^2 for the computed regression model. Express your answer as a number less than 1 (NOT in %). f) Test the significance of x3 at α=0.05. Determine the value of the test statistic. g) Determine the lower limit of the 95% confidence interval on b(beta)2
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature ( x1 ), the number of days in the month ( x2 ), the average product purity ( x3 ), and the tons of product produced ( x4 ). The past year’s historical data are available and are presented in the following table:
regression model is y = -102.7132 + 0.6054X1 + 8.9236X2 + 1.4374 X3 + 0.0136X4
a) Estimate sigma^2
b.) Using ANOVA, test for significance of regression using α=0.05. Determine the critical value of the test statistic (2 decimal places only).
c.) Using ANOVA, test for significance of regression using α=0.05. Determine the computed value of the test statistic
d) Calculate R^2 for the computed regression model. Express your answer as a number less than 1 (NOT in %).
e) Calculate R_adj^2 for the computed regression model. Express your answer as a number less than 1 (NOT in %).
f) Test the significance of x3 at α=0.05. Determine the value of the test statistic.
g) Determine the lower limit of the 95% confidence interval on b(beta)2
h) Determine the upper limit of the 95% confidence interval on b(beta)3 .
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