Problem-Solving and Data AnalysisEasy–MediumPredicted change from a slope
Problem-Solving and Data Analysis practice question
The line of best fit for a set of data is y = 3x + 2. According to the line, if x increases by 4, by how much does the predicted value of y increase?
Answer: 12
The slope, 3, is the change in y per unit change in x. For a change of 4 in x: 3 × 4 = 12.
Common wrong answers
- If you answered 4
- 4 is the change in x, not in y.
- If you answered 7
- 7 is 3 + 4, adding the slope to the change instead of multiplying.
- If you answered 14
- 14 is 3(4) + 2 — the value of y at x = 4, not the change in y.
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