we know that
<u>The correlation coefficient </u>is a number between
and
that represent the linear dependence of two variables or sets of data
Let

Using the function CORREL in a Excel tool
Find the correlation coefficient for the set of data
see the attached table
the correlation coefficient is 
therefore
<u>the answer is the option B</u>

Greetings from Brasil...
Here we have an indeterminacy 0/0
We can change variable or rationalize.......
Let's rationalize
{[√(X + 4) - 2]/X} · {[√(X + 4) + 2]/[√(X + 4) + 2]} = 1/[√(X + 4) + 2]
So, the limit will be 1/4
Here is your first answer:
First find whats common which is 6:
-4×2=-8
3×2=6
-3×3=-9
2×3=6
Subtract -9 and -8
But use KCC which makes the equation...
-9+8=-1
-1/6
Here is your second answer:
First use KCC to Chang the equation into...
-3.9
-8.9
Then add:
9+9=18
=-1.28
Here is your third answer:
First change the equation (KCC):
2.9
9.4
9+4=13
3.9=12
=1.23
There are your answers: