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