Question

the two regression equation of the variables x and y are x=19.3-0.87y ; y=11.64-0.50x. find correlation of coefficient between y and y

Answer 1

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Answer 2

Answer:

the coefficient of correlation between x and y is 0.65

Step-by-step explanation:

given, equations

x = (- 0.87)y + 19.3 and y = (- 0.50x) + 11.64

regression measure of x on y is given by  $b_{yx}$-0.5

regression measure of y on x is given by  $b_{xy}$-0.87

• measure of correlation is the geometric mean between two regression coefficients also known as slope coefficient. correlation coefficient, denoted by 'r', ranges from -1 to +1.
• the sign of the correlation coefficient tells us the direction of the linear relationship
• the magnitude of 'r' tells us the strength of the linear relationship

r = √ $(b_{xy}*b_{yx} )$ = $\sqrt{(-0.50)*(-0.87)}$ = $\sqrt{0.43}$

r = 0.65

therefore, the coefficient of correlation between x and y is 0.65