A Statistics professor wants to determine how students’ final grades are related to the midterm exam grades and number of classes missed. The professor selects 10 students and obtains the data shown in the table below. Final Grade (y) Midterm Grade (x1) Classes Missed (x2) 81 75 1 90 80 0 86 91 2 76 80 3 51 62 6 75 90 4 44 60 7 81 82 2 94 88 0 93 96 1 a) Calculate the sample correlation coefficient r. Using technology, find the following (show your work by copying and pasting your output and by writing up your finding): b) The multiple regression equation for the data shown in the table above c) The standard error of estimate. d) The coefficient of determination e) What is the percentage of explained variation? f) What is the percentage of unexplained variation?

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A Statistics professor wants to determine how students’ final grades are related to
the midterm exam grades and number of classes missed. The professor selects 10 students and obtains the data shown in the table below.

Final Grade (y) Midterm Grade (x1) Classes Missed (x2)
81 75 1
90 80 0
86 91 2
76 80 3
51 62 6
75 90 4
44 60 7
81 82 2
94 88 0
93 96 1

a) Calculate the sample correlation coefficient r.

Using technology, find the following (show your work by copying and pasting your
output and by writing up your finding):

b) The multiple regression equation for the data shown in the table above
c) The standard error of estimate.
d) The coefficient of determination
e) What is the percentage of explained variation?
f) What is the percentage of unexplained variation?

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