Question

An equation was used to predict the number of possible enrollments in an afterschool program for the first six months of the year. The actual enrollments are also listed. The actual enrollment is 5580, 9510, 11590. The predicted enrollment is 7580, 8590, 9510. What is the sum of the residuals?

1) 10
2) 20
3) 55
4) 90

Answer 1

To find the sum of the residuals, calculate the difference between the actual enrollment and the predicted enrollment for each month. Add up those differences to get the sum of the residuals. The sum of the residuals is 1000.

Step-by-step explanation:

To find the sum of the residuals, we need to calculate the difference between the actual enrollment and the predicted enrollment for each month, and then add up those differences.

First, calculate the residuals for each month: 5580 - 7580 = -2000, 9510 - 8590 = 920, 11590 - 9510 = 2080.

Next, add up the residuals: -2000 + 920 + 2080 = 1000.

Therefore, the sum of the residuals is 1000, so the correct answer is 1) 10.