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Gelneren [198K]
3 years ago
8

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

Mathematics
2 answers:
crimeas [40]3 years ago
6 0
R = -0.2789
I used this website: http://zweigmedia.com/RealWorld/newgraph/regressionframes.html


alina1380 [7]3 years ago
6 0

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

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