Question

Given the data shown below, which of the following is the best approximation of the coefficient of determination (r^2)

Answer 1

The coefficient of determination can be found using the following formula:

$r^2=\mleft(\frac{n(\sum ^{}_{}xy)-(\sum ^{}_{}x)(\sum ^{}_{}y)}{\sqrt[]{(n\sum ^{}_{}x^2-(\sum ^{}_{}x)^2)(n\sum ^{}_{}y^2-(\sum ^{}_{}y)^2}^{}}\mright)^2$

Using a Statistics calculator or an online tool to work with the data we were given, we get

So the best aproximation of r² is 0.861