question archive In a university where calculus is a prerequisite for the statistics course, a sample of 10 students was drawn, and the marks for both courses were recorded for each student
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In a university where calculus is a prerequisite for the statistics course, a sample of 10 students was drawn, and the marks for both courses were recorded for each student. The data are listed below. Calculus (x) 65 58 93 74 81 58 85 88 75 63 Statistics (y) 74 72 84 68 85 63 73 79 65 62 a. Draw a scatter diagram of the data. b. Calculate the least squares regression line of y on x. c. Use your regression line to determine the statistics mark for a student who had 68 in calculus. d. Calculate the error of prediction for the student who had 85 in calculus. e. Calculate the Pearson's product moment correlation coefficient, and interpret this value. f. Calculate and interpret the coefficient of determination, r.