SOLUTION: The regression equations are; 7x - 6y + 9 = 0 and 5y - 4x - 3 = 0. Find a. The coefficient of correlation b. Mean value of x c. Mean value of y

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Question 1193518: The regression equations are; 7x - 6y + 9 = 0 and 5y - 4x - 3 = 0. Find
a. The coefficient of correlation
b. Mean value of x
c. Mean value of y

Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

This is some gibberish raised in degree of 3 . . .


A mixture of pieces from two  (if not more)  different problems.



Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Forgive Ikleyn, she doesn't understand regression and correlation. And
she loves to run people down.

Solve one equation for x and the other for y, so that the product of
the coefficients of variables on the right are less than 1.  So we
solve the first one for x and the second one for y.

      

So

 and 



 <--correlation coefficient

The point whose coordinates are the means is the point of
intersection of the two regression lines.

To find the mean value for x and y, solve the system





Eliminate y by multiplying the first by 5 and the second by 6





  <--mean value of x.


Eliminate x by multiplying the first by 4 and the second by 7





  <--mean value of y.


Edwin

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