What is the formula for R squared?

What is the formula for R squared?



First, we must measure the total sum of the squares. y_i is the observed value of the response variable for the ith test instance, and y_bar is the mean of the observed values of the response variable

SS_tot = SUM( (y_i - y_bar)^2 )


Next, we must find the residual sum of the squares. Recall that this is also our cost function.

SS_res = SUM( (y_i - f(x_i)) ^ 2 )


Finally, we can find r-squared using the following formula:

R^2 = 1 - (SS_res / SS_tot)


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