W123 QUESTION TWO
a.) The following data represent the mathematics grades for a random sample of 12 freshmen
at a certain college along with their mathematics score in K. C.S. E. Additional information
on the absenteeism of these students has been recorded also.
Student
1
2
3
4.
5
6
7
8
9
10
11
12
K. C.S. E math Score 65 50 55 65
55 70 65 70 55 70
50
55
Classes missed
1
7
5
2
6
3
2
5
4
3
1
4
College Math Score
85 74 76 90 85 | 87 | 94 98 81
91
76
74
i.)
11.)
111.)
Compute and interpret the sample correlation coefficient between the KCSE
mathematics grade and the college math performance.
[3 marks]
What assumptions did you make in answering (1) above?
[2 marks]
Fit a multiple linear regression to predict the college score based in the K. C.S. E
grade and absenteeism-show all the necessary calculations. Interpret the slope
coefficients.
[8 marks]
Predict the college grade of a student whose K. C.S. E math score was 40 and has
missed 5 classes.
[2 marks]​