Answer:
0.783
Explanation:
To find first r and then r square for the data
n statistics, the coefficient of determination, denoted R2 or r2 and pronounced "R squared", is the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
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.