Answer:
The correct option is D
D) -0.828
Explanation:
Step 1:
First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:
(find the values given in table attached below. The formation of table is step 2)
Step 3:
Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}