Question 1: 48 points Professor Farnsworth is interested to know whether the Labs he developed for his statistics course helped his students on the final exam. To this end, he collects attendance data and final exam scores from a sample of 10 students in his class. The Data is depicted in the table below: Student Labs Attended Grade Exam ABCDEFGHI 244 34 90 58 7 68 8 72 8 81 8 85 H 11 89 14 75 14 98 a) Compute the Pearson product moment correlation coefficient for this data. Be sure to use the conceptual formulas presented in class. Be sure to interpret the correlation (7 marks). Labs Attended Grade Exam Devx Devy SSX SSy SP 244 2 34 4 90 4 58 7 68 8 72 8 81 8 85 11 89 14 75 14 98 b) Is the relationship between attendance and grade statistically significant? Use a two-tailed t-test with an alpha of .05 to answer this question (11 marks). Step 1: Hypotheses: Step 2: Decision Criterion: Step 3: Obtain the Statistic Step 4: Make a decision: Step 5: Report the result: c) Report and interpret the effect size for the correlation coefficient. (3 marks). d) Determine the regression equation for this correlation. Interpret the slope and the Y-intercept for the equation. (8 marks) e) Draw a scatterplot to depict the correlation and include the line for the regression equation. You can hand draw it, use excel, or another software application to render your graph, but be sure to include appropriate titles (4 marks). f) On average, how much error is there when we predict final exam grade from lab attendance (i.e., what is the standard error of estimate)? (15 marks) Use the data from question 1 and convert both variables to ranked data using the method described in class. (10 marks) a) Compute and interpret the Spearman correlation coefficient. (7 marks) b) Use the correlation table to determine whether the correlation coefficient is statistically significant at alpha = .05 for a one-tailed and two-tailed tests. (4 marks)