|
Hours |
Grade |
|
3 |
11 |
|
6 |
7 |
|
4 |
13 |
|
2 |
15 |
|
1 |
12 |
What is r?
Please show your work in the space below
|
Hours(x) |
Grade(y) |
xy |
x^2 |
y^2 |
|
|
3 |
11 |
33 |
9 |
121 |
|
|
6 |
7 |
42 |
36 |
49 |
|
|
4 |
13 |
52 |
16 |
169 |
|
|
2 |
15 |
30 |
4 |
225 |
|
|
1 |
12 |
12 |
1 |
144 |
|
|
Total |
16 |
58 |
169 |
66 |
708 |

Substitute the values in above formula, we get
r = (5*169-16*58)/SQRT((5*66-16^2)*(5*708-58^2))
r = -0.72729
The value for linear correlation coefficient that describe the relation between Hours and Grade is -0.72
This is a negative correlation between hours and grade variables..
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