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maw [93]
3 years ago
8

Calculate the value of the sample correlation coefficient. Based on this value, how would you describe the nature of the relatio

nship between the two variables
Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

Explained below.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation coefficient is:

r(X,Y)=\frac{Cov(X,Y)}{\sqrt{V(X)\cdot V (Y)}}

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

Positive correlation is an association amid two variables in which both variables change in the same direction.  

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

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