Question

Residuals

A residual is the difference between the actual value and the predicted value.
Suppose the regression line modeling ticket sales is y = –5.9x + 170.85, where x represents ticket price and y represents attendance.
1. What is the predicted attendance when the ticket price is $5? _________
2. The actual attendance was 160 when the ticket price was $5.
Find the residual: _________ – _________ = _________

Answer 1

1. predicted attendance: 141.35

2. residual: 18.65

Explanation:

1. Predicted attendance is ...

y = -5.9·5 +170.85 = 141.35

__

2. As the problem statement tells you, ...

actual value - predicted value = residual

160 - 141.35 = 18.65 . . . the residual