Andrew Teh is interested in studying the impact of the number of books students referred to in an economics course and the number of lectures they attended on the final grade on the course. He randomly sampled 25 students and the data are given below. BOOKS ATTEND GRADE 2 17 60 3 18 54 1 17 62 5 20 59 2 12 44 1 13 40 3 17 96 4 19 90 5 22 97 2 22 54 5 22 91 1 12 48 3 18 91 1 12 65 4 21 82 5 14 61 3 18 54 3 13 46 1 8 64 5 22 90
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Andrew Teh is interested in studying the impact of the number of books students referred to in an economics course and the number of lectures they attended on the final grade on the course. He randomly sampled 25 students and the data are given below.
|
BOOKS |
ATTEND |
GRADE |
|
2 |
17 |
60 |
|
3 |
18 |
54 |
|
1 |
17 |
62 |
|
5 |
20 |
59 |
|
2 |
12 |
44 |
|
1 |
13 |
40 |
|
3 |
17 |
96 |
|
4 |
19 |
90 |
|
5 |
22 |
97 |
|
2 |
22 |
54 |
|
5 |
22 |
91 |
|
1 |
12 |
48 |
|
3 |
18 |
91 |
|
1 |
12 |
65 |
|
4 |
21 |
82 |
|
5 |
14 |
61 |
|
3 |
18 |
54 |
|
3 |
13 |
46 |
|
1 |
8 |
64 |
|
5 |
22 |
90 |
- Determine the overall significance of the relationship at the 0.05 level of significance?
- Determine the significance of each independent variable? What are your conclusions at the 0.05 level of significance?
- How much of the variation in the final grade does the model in part (a) explain?
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