An equation was created for the line of best fit from the actual enrollment data. It was used to predict the dance studio enrollment values shown in the table below:
Enrollment
Month January February March April May June
Acutal 12 14 14 13 16 14
Predicted 8 15 15 12 17 15
Residual −1 −1 1 −1 −1
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit
Yes, the equation is a good fit because the sum of the residuals is a small number.
The following information should be considered:
This is due to because in the case when you add up all the residuals your answer will be 1, and the closest answer is to 0 the better the line of best fit.