Question 6.

Given the following regression output: Predictor Coef SE Coef T P Constant 84.998 1.863 45.61 0.00 X1 2.391 1.200 1.99 0.051 X2 -0.4086 0.1717 -2.38 0.020 Analysis of Variance Source DF SS MS F P Regression 2 77.907 38.954 4.14 0.021 Residual Error 62 583.693 9.414 Total 64 661.600 Answer the following questions: a) Write the regression equation (2 marks) b) If X1 is 4 and X2 is 11, what is the resulting output from the equation? (2 marks) c) How large is the sample? How many independent variables are there? (2 marks) d) Conduct a global test of hypothesis to see if any of the set of regression coefficients could be different from 0. Use the .05 significance level. What is your conclusion? (2 marks) e) Conduct a test of hypothesis for each independent variable. Use the .05 significance level. Which variable would you consider eliminating? (2 marks)