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

0.783

Step-by-step 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:

xyxy

122

21020

5525

718126

1025250

Mean51284.6

CovE(xy)-E(x)E(y)  24.6

r0.884640297

r^20.782588454

so answre is 0.783 after rounding off.