QUESTION 4
[20]
4.1
What is regression analysis?
(2)
4.2
What name is given to the variable that is being estimated in regression equation? (2)
4.3
What is the purpose of an independent variable in regression analysis?
(2)
4.4
The Department of Education would like to know if there is a link between the number of hours per week spent doing homework and the exam marks of Grade 8 learners A random sample of 10 Grade 8 learners was selected and their exam marks evaluated_
Hours spent on homework Exam marks '%) 60
10
15
12
76
81
72
90
45
31
62
39 80
4.4.1 Calculate a simple regression line and use the method of least squares to identify a linear relationship between the hours spent o homework and the exam marks obtained by Grade 8 learners: (10)
4.4.2 Estimate the exam marks that a Grade 8 learner will obtain if he spends 12,5 hours per week doing homework_ (2)
4.4.3 The correlation coefficient (r) is calculated as 0,83. Interpret its meaning and advise the Department of Education. (2)