Problem-Solving and Data AnalysisVery hardChange in a prediction from a slope
Problem-Solving and Data Analysis practice question
The line of best fit for a scatterplot has the equation y = −2.5x + 90. When x increases by 4, by how much does the predicted value of y change?
Answer: -10
The slope is the change in y per unit x: −2.5 × 4 = −10.
Common wrong answers
- If you answered 10
- 10 has the sign wrong; the slope is negative.
- If you answered 80
- 80 evaluates the line at x = 4 instead of finding the change.
- If you answered -2.5
- −2.5 is the change for 1 unit of x, not 4.
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