Problem #3: Given the following five pairs of (x, y) values, x 5 97 12 10 7 6 2 0 (a) Determine the least squares regression line. (Be sure to save your unrounded values of o and for use in Problem #4 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., (0, 10) and (5,7)] are above the regression line, then since the sum of the two corresponding y-values is 10+7=17, you would enter 17 into the answer box. Problem #3(a): 10.0394,-0.7635 Problem #3(b): 13 enter the values of B 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 Submit Problem #3 for Grading Problem #3 Attempt #1 Attempt #2 Attempt #3 Your Answer: 3(a) 10.0394, 3(a) 3(a) -0.7635 3(b) 3(b) 3(b) 13 Your Mark: 3(a) 4/4 3(b) 2/2 3(a) 3(a) 3(b) 3(b) Problem #4: Referring to Problem #3 above, Problem #4(a): Problem #4(b): Problem #4(c): Problem #4(d): Problem #4(e): (a) Calculate the residuals. (b) Calculate the residual sum of squares SSE. (c) Find the value of the test statistic for testing the hypothesis Ho P10 vs Ho P10 (d) Find the 1% critical value for the hypothesis test in (c). (e) Work through this example on R and then find the p-value for the hypothesis test in (c). residuals, separated by commas (numbers correct to 3 decimals) SSE (correct to 4 decimals) test statistic (correct to 2 decimals) critical value (correct to 3 decimals) p-value