correlation and regression formulae

correlation and regression formula

karl pearson's correlation coefficient formula is usually used as a measure of the linear relationship between x and y.

The regression line of yon x is supposed to be a linear relation between y and x derived on the assumption that y depends on x and it is assumed that x is independent  and the assumption is vice versa for the regression line of x on y

 

proof for limits of the correlation coefficient r

correlation and regression formula , regression line of x on y, regression line of y on x, covariance formula , limits for the correlation coefficient

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