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
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

Answer 1

@Vocaloid

Answer 2

take a look at the residuals. are they close to zero or not?

Answer 3

no @Vocaloid

Answer 4

good, so what do you think the answer is?

Answer 5

The sum of the residuals has to be zero, no? :)

Answer 6

C?

Answer 7

(I am not sure whether the line contains the point \((\bar{x},\bar{y})\) or not, but yes C is right.

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

Answer 8

(if you want to check for that point, then you would have to calculate....., but once you know that sum of residuals isn't zero then you don't really have to care about that)

Answer 9

thank you @SolomonZelman

Answer 10

Yw