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 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.

No, the equation is not a good fit because the residuals are all far from zero.

No, the equation is not a good fit because the sum of the residuals

Question

Mathematics

Laura

16 May, 18:15

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 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.

No, the equation is not a good fit because the residuals are all far from zero.

No, the equation is not a good fit because the sum of the residuals

+3

Answers (2)

Know the Answer?

Heath Alexander · Answer 1

No, the equation is not a good fit because the sum of the residuals is far from zero.

A line of best fit is meant to compensate for positive and negative deviation in a matter that balances them. A large residual values' sum shows that they are not balanced.

Tomas · Answer 2

No, the equation is not a good fit because the residuals are all far from zero.