What is the correlation coefficient with the following data points: (2,47), (3,2), (5,26)?

The correlation coefficient is:

    -0.290742

Step-by-step explanation:

The formula for the correlation coefficient is given by :

where,

where x' and y' are the mean of x and y entries respectively.

Now,

     x         y         X        Y          XY          X^2        Y^2

    2       47       -4/3     22       -88/3        16/9       484

    3        2        -1/3     -23        23/3        1/9         529

    5       26      5/3        1           5/3         25/9         1

-----------------------------------------------------------------------------------

  ∑XY= -20

 ∑X^2=42/9    

 ∑Y^2=1014

( Since,

and,

 )

Hence,on putting all the values in equation (1) we get:

           r= -0.290742

The Scale Factor of the given coordinates is 1/2