Question

If the relationship between the two variables x and y is given by 2x + 3y + 4 = 0, then the value of the correlation coefficient between x and y is ____..​

Answer 1

Step-by-step explanation:

Take this as a theorem :

If y=a+bx,then the correlation coefficient between X and Y ,r, is +1 if b>0 and is -1 if b<0.

That is,it depends on the slope of the given straight line. If it positive,r=+1 and if it negative,r=-1.

Now,coming to the given question;

Y=-2/3X-4/3.

Here,the slope is negative. Hence,r=-1.

Therefore,the correlation coefficient between X and Y is -1.

Answer 2

ans -1

Step-by-step explanation:

see we should find bxy and byx which are -3/2 and -2/3 now we use the formula r²=bxy.byx

we get r equals to plus or minus 1 since bxy and byx have - sign r must have - sign so r = -1