Question

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
Actual 120 140 150 140 150 130
Predicted 80 150 110 150 110 150
Residual 40 −10 40 −10 40 −20


Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit.

Answer 1

Based on the residual values, it seems like the predicted values are not accurately representing the actual enrollment data. The residuals indicate the differences between the actual and predicted values, and in this case, they vary quite a bit. This suggests that the equation used for the line of best fit may not be a good representation of the data.