Problem-Solving and Data AnalysisVery hardActual value from a residual
Problem-Solving and Data Analysis practice question
The line of best fit for a data set is y = −3x + 60. A point on the scatterplot at x = 6 has a residual of +3, meaning its actual y-value is 3 more than the value the line predicts. What is the point's y-coordinate?
Answer: 45
Predicted y = −18 + 60 = 42, so the actual y is 45.
Common wrong answers
- If you answered 39
- 39 puts the point 3 below the line.
- If you answered 42
- 42 is the predicted value.
- If you answered 63
- 63 adds 3 to the y-intercept.
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