Question

What is the correlation coefficient with the following data points (3,9), (7,10),(4,1)

Answer 1

1.(3,9)=0.3
2.(7,10)=0.7
3.(4,1)=4

Answer 2

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