STAT 331 Homework 5 Use the data given below to perform a regression through the origin and answer questions 1 - 3. X Y 5 4 6 3 1 2 4 6 2 3 Source Regression Error Total Df 1 A B SS 59.76 14.24 C MS 59.756 3.561 1. Fit the model Y = 1X + . What is your predicted value of 1? (Round your answer to three decimal places) 2. What should be the value of A, the degrees of freedom for error, in the ANOVA table for the regression through the origin? 3. What should be the value of C, total sum of squares, in the ANOVA table? The ANOVA table given below is from a multiple regression analysis using 4 independent variables. Use this table to answer questions 4 - 7. Source Regression Error Total Df 4 16 20 SS 237 210 447 MS 59.25 13.125 4. In an Analysis of Variance F-test what is the value of the calculated test statistic, Fcal, to test the model's usefulness? (Round your answer to three decimal places) 5. What critical value from the F-table should be used in the Analysis of Variance F-test? 6. What is the value of R2? (round your answer to three decimal places) 7. What is the value of adj R2? (round your answer to three decimal places) The multiple regression model Y = 0 + 1X1 + 2X2 + was fit using n = 7 observations. Use the partial ANOVA table given below to answer questions 8 - 10. Source Regression Error Total Df 2 A B SS 125.92 112.94 238.86 MS C D 8. What should be the value for B, total degrees of freedom? 9. What should be the value for C, mean square regression? (round your answer to two decimal places) 10. What should be the value for D, mean square error? (round your answer to three decimal places)