Problem #6: Referring to Problem #5 above, (a) Calculate the residuals. (b) Calculate the residual sum of squares SS(error). (c) Find the value of the test statistic for testing the hypothesis Ho:Q=0 H:00 (d) Find the 1% critical value for the hypothesis test in (c). Work through this example on R and then find the p-value for the hypothesis test in (c). Problem #6(a): 0.6805,-0.5756,1.8878, residuals, separated by commas (numbers correct to 4 decimals) Problem #6(b): 7.8221 SS(error) (correct to 4 decimals) Problem #6(c): 0.54 test statistic (correct to 2 decimals) Problem #6(d): 1.39 Problem #6(e): 0.60491275 critical value (correct to 3 decimals) p-value Just Save Your work has been saved! (Back to Admin Page). Submit Problem #6 for Grading Problem #6 Attempt #1 Attempt #2 Attempt #3 Your Answer: 6(a) 0.6805, -0.5756, 1.8878, 6(a) 6(a) -0.1366, 6(b) 6(b) -1.8561 6(c) 6(c) 6(b) 7.8221 6(d) 6(d) 6(c) 0.54 6(e) 6(e) 6(d) 1.39 6(e) 0.60491275 Your Mark: 6(a) 5/5 6(a) 6(a) 6(b) 2/2 6(b) 6(b) 6(c) 0/2x 6(c) 6(c) 6(d) 0/2x 6(d) 6(d) 6(e) 0/3x 6(e) 6(e) Problem #5: Given the following five pairs of (x, y) values, 2 398 y 10 8 6 3 13 1 (a) Determine the least squares regression line. (Be sure to save your unrounded values of bo and b for use in Problem #6 below.) ' (b) Draw the least squares regression line accurately on a scatterplot. Then look to see which (x, y) pairs are above the regression line. Then add up the y-values for all of the (x, y) pairs that fall above the regression line. For example, if you draw your least squares regression line accurately on a scatterplot, and you find that the first two (x,y) pairs [i.e., (2, 10) and (3,8)] are above the regression line, then since the sum of the two corresponding y-values is 10 + 8 = 18, you would enter 18 into the answer box. Problem #5(a): 10.8073,-0.7439 Problem #5(b): 16 enter the values of bo and b (in that order), separated by a comma (numbers correct to 4 decimals) sum of y-values for points above the regression line Just Save Your work has been saved! (Back to Admin Page). Submit Problem #5 for Grading Problem #5 Attempt #1 Your Answer: 5(a) 10.8073, 0.7439 5(b) 11 Attempt #2 5(a) 10.8073, 0.7440 Attempt #3 5(a) 10.8073, -0.7439 5(b) 16 5(b) Your Mark: 5(a) 3/4x 5(b) 0/2x 5(a) 2/4x 5(b) 2/2 5(a) 4/4 5(b) Note: Your mark on each question will be the MAXIMUM of your marks on each try. (So there is no harm in making another attempt at a partially correct answer.)