Question

The regression formula is PredictedScore = 71 - 0.61 * PovertyPercentage.

About 54% of the kids at your child's school are eligible for free lunch (a measure of poverty) and the median score for the school was 57. Calculate the predicted score and then the residual for that school.

Answer 1

You are already given the poverty percentage which is 54%. All you have to do is substitute it to the equation to calculate the predicted score.

Predicted Score = 71 - 0.61*54
Predicted Score = 38.06

About the predicted score of the residual, I guess you use the other percentage which is 100 - 54 = 46%. I'm not sure what the median value is for.

Predicted Score = 71 - 0.61*46
Predicted Score = 42.94