In a university where calculus is a prerequisite for the statistics course, a sample of students was drawn. The marks (out of 100) for calculus and statistics were recorded for each student. The data are as follows. Calculus 62 67 92 84 87 84 75 55 Statistics 83 72 87 78 79 79 85 60 a. Determine the correlation coefficient (r) between the two variables. Answer rounded to at least 4 decimal places.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter11: Data Analysis And Displays
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In a university where calculus is a prerequisite for the statistics course, a sample of students was drawn. The marks (out of 100) for calculus and statistics
were recorded for each student. The data are as follows.
Calculus
62
67
92
84
87
84
75
55
Statistics
83
72
87
78
79
79
85
60
a. Determine the correlation coefficient (r) between the two variables.
Answer rounded to at least 4 decimal places.
b. Determine the slope coefficient B, for the regression of statistics marks on calculus marks.
Answer rounded to at least 4 decimal places.
c. Determine the y-intercept Bo for the regression of statistics marks on calculus marks.
Answer rounded to at least 4 decimal places.
d. What will be the statistics marks when the calculus mark is 95?
Answer rounded to at least 4 decimal places.
marks
Transcribed Image Text:In a university where calculus is a prerequisite for the statistics course, a sample of students was drawn. The marks (out of 100) for calculus and statistics were recorded for each student. The data are as follows. Calculus 62 67 92 84 87 84 75 55 Statistics 83 72 87 78 79 79 85 60 a. Determine the correlation coefficient (r) between the two variables. Answer rounded to at least 4 decimal places. b. Determine the slope coefficient B, for the regression of statistics marks on calculus marks. Answer rounded to at least 4 decimal places. c. Determine the y-intercept Bo for the regression of statistics marks on calculus marks. Answer rounded to at least 4 decimal places. d. What will be the statistics marks when the calculus mark is 95? Answer rounded to at least 4 decimal places. marks
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