Find the value of the correlation coefficient for the data shown in the table. round to the nearest hundredths.
a) r = 0.85
b) r = 0.75
c) r = −0.75
d) r = −0.85

The answer is D.

r= -0.85

Hope this helps

So then the correlation coefficient would be r =-0.852

D) r = −0.85

Step-by-step explanation:

We have the follwoing dataset:

X: 3000, 5500, 6500, 6000,4500, 3500

Y: 34,22,18,26,24,28

n=6

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.  

And in order to calculate the correlation coefficient we can use this formula:  

For our case we have this:  

n=6  

And if we replace we got:

So then the correlation coefficient would be r =-0.852

So then the correct option would be:

D) r = −0.85

-2

7 - 9 = -2

reversed:

-2 + 9 = 7