Question

What is the correlation coefficient with the following data point: (1,6), (3,2), (7,5), (6,2)

Answer 1

R = -0.2789
I used this website: http://zweigmedia.com/RealWorld/newgraph/regressionframes.html

Answer 2

Answer:

-0.2789

Step-by-step explanation:

The Correlation Coefficient can be calculated with the following formula

$r=\frac{Cov(X,Y)}{Var(X)Var(Y)}$

or

$r=\frac{n \sum XY-(\sum(X)\sum(Y)}{\sqrt{[n\sum X^2-(\sum X)^2][n\sum Y^2-(\sum Y)^2]}}$

We can do the auxiliary calculations in excel and replace in the formula

$r=\frac{4\times59-(17\times19)}{\sqrt{[4 \times 95-(17)^2][4\times69-(15)^2]}}=-0.2789$