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:
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 is a large number.
yes, the equation is a good fit because the residuals are not all far from zero.
yes, the equation is a good fit because the sum of the residuals is a small number.
A.) No, the equation is not a good fit because the residuals are all far from zero.
I got it right on my test.
actual 550 550 750
Perditif410 450 650
Resdiul 100 50 150 90
The answer is D. Yes, the equation is a good fit because the sum of the residuals is a small number.
This is because if you add up all the residuals your answer will be 1, and the closer the answer is to 0 the better the line of best fit.
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.
I'm not 100% sure about it though, but it should be correct.
Hope this helps!