What is the correlation coefficient with the following data points (3,9), (7,,1)

Answer with Step-by-step explanation:

we are given data points

 x    y

  3    9

  7    10

  4     1

The correlation coefficient is calculated by the formula:

r=  (∑xy-(∑x∑y)/n)\√(∑x²-(∑x)²/n)√(∑y²-(∑y)²/n)

now, we draw table to calculate xy,x²,y²

            x    y    xy      x²    y²

             3    9    27    9     81

             7    10   70    49   100

             4     1     4      16    1

sum:     14   20  101   74   182

r=  (101-14×20/3)/√(74-14×14/3)√(182-20×20/3)

 =  7.66/(2.94×6.98)

 =  0.37

Hence, correlation coefficient is 0.37