Question

What is the r^2 value of the following data to three decimal places???

Answer 1

0.783

Explanation:

To find first r and then r square for the data

correlation coefficient of x and y = Cov (x,y)/std dev x * std dev Y

Cov (x,y) = E(xy) -E(x)E(y)

Hence calculations would be as follows:

x y xy

1 2 2

2 10 20

5 5 25

7 18 126

10 25 250

Mean 5 12 84.6

Cov E(xy)-E(x)E(y) 24.6

r 0.884640297

r^2 0.782588454

so answre is 0.783 after rounding off.