Problem-Solving and Data AnalysisMediumInterpreting the slope and intercept of a fitted line
Problem-Solving and Data Analysis practice question
A line of best fit for a scatterplot of a taxi's fare y, in dollars, against distance x, in kilometres, is y = 2x + 15. Which statement is the best interpretation?
- A. Each extra kilometre is associated with about $2 more in fare, and a very short trip costs about $15.Correct
- B. Each extra kilometre is associated with about $15 more in fare.
- C. A 2-kilometre trip costs $15.
- D. The fare never exceeds $15.
Answer: A. Each extra kilometre is associated with about $2 more in fare, and a very short trip costs about $15.
Slope 2 dollars per km; intercept $15 for zero distance.
Why the other answers are wrong
- B. Each extra kilometre is associated with about $15 more in fare.
- $15 is the intercept, not the per-km rate.
- C. A 2-kilometre trip costs $15.
- A 2-km trip costs 4 + 15 = $19.
- D. The fare never exceeds $15.
- The fare rises without limit as x grows.
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