The coefficient of determination can be found using the following formula:
[tex]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[/tex]
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
