What is the value of the correlation coefficient r of the data set? a. -0.84 b. 0.71 c. 0.84 d. 1

The correct option will be:  C) 0.84

Explanation

Formula for Correlation coefficient :

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

(Please refer to the attached image for the table )

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

So, the value of the correlation coefficient is 0.84