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If the relationship between x and y is given by y=0.3x+0.8, what is the correlation coefficient...

If the relationship between x and y is given by y=0.3x+0.8, what is the correlation coefficient between x and y?

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Answer #1

Correlation coefficient measures the strength of linear association between the two variables. It lies between - 1 and 1; the extreme values being attained when the two variables are exactly linearly related. It takes value - 1 if slope is negative and 1 if slope is positive  

Here y = 0.3x + 0.8

So the variables x and y are exactly linearly related. Also slope = 0.3, which is positive.

So the value of correlation coefficient between x and y is 1.

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