Answer:
R = -0.8908
R² = 0.7935
Step-by-step explanation:
Given the data:
X :
5
3
6
3
4
4
6
8
Y :
13
15
7
12
13
11
9
5
Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :
R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.
The Coefficient of determination (R²) ; is obtained by taking the squared value of R
R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.
