In a university where calculus is a prerequisite for the physics course, a sample of 8 students was drawn. The marks for calculus and physics were recorded for each student. The data are as follows. calculus marks 65 57 92 84 87 74 88 45 physics marks 73 72 87 78 79 69 75 55 a. Determine the slope coefficient B1 for the regression of physics marks on calculus marks. Answer rounded to three decimal places. b. Determine the y-intercept Bo for the regression of physics marks on calculus marks. Answer rounded to two decimal places. c. If one student got 95 marks in calculus, then what will be the predicted physics marks for that student? Answer rounded to two decimal places. d. What percentage of the variation in marks in physics is explained by the regression model? Answer either in percentage or as a decimal (eg: 15.25%, or 0.1525)

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In a university where calculus is a prerequisite for the physics course, a sample of 8 students was drawn. The marks for calculus and physics were
recorded for each student. The data are as follows.
calculus marks
65
57
92
84
87
74
88
45
physics marks
73
72
87
78
79
69
75
55
a. Determine the slope coefficient B1 for the regression of physics marks on calculus marks.
Answer rounded to three decimal places.
b. Determine the y-intercept Bo for the regression of physics marks on calculus marks.
Answer rounded to two decimal places.
c. If one student got 95 marks in calculus, then what will be the predicted physics marks for that student?
Answer rounded to two decimal places.
d. What percentage of the variation in marks in physics is explained by the regression model?
Answer either in percentage or as a decimal (eg: 15.25%, or 0.1525)
Transcribed Image Text:In a university where calculus is a prerequisite for the physics course, a sample of 8 students was drawn. The marks for calculus and physics were recorded for each student. The data are as follows. calculus marks 65 57 92 84 87 74 88 45 physics marks 73 72 87 78 79 69 75 55 a. Determine the slope coefficient B1 for the regression of physics marks on calculus marks. Answer rounded to three decimal places. b. Determine the y-intercept Bo for the regression of physics marks on calculus marks. Answer rounded to two decimal places. c. If one student got 95 marks in calculus, then what will be the predicted physics marks for that student? Answer rounded to two decimal places. d. What percentage of the variation in marks in physics is explained by the regression model? Answer either in percentage or as a decimal (eg: 15.25%, or 0.1525)
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