Problem-Solving and Data AnalysisEasy–MediumInterpreting the slope of a model
Problem-Solving and Data Analysis practice question
The model y = 2.5x + 10 relates x, hours of practice per week, to y, points scored in a game. Which of the following is the best interpretation of the number 2.5 in this model?
- A. Each additional hour of practice per week is associated with 2.5 more points scored.Correct
- B. A player who does not practise is predicted to score 2.5 points.
- C. Each additional point scored requires 2.5 hours of practice.
- D. Players practise for 2.5 hours per week on average.
Answer: A. Each additional hour of practice per week is associated with 2.5 more points scored.
The slope is the change in y for each unit of x.
Why the other answers are wrong
- B. A player who does not practise is predicted to score 2.5 points.
- That is the intercept, 10.
- C. Each additional point scored requires 2.5 hours of practice.
- This inverts the rate.
- D. Players practise for 2.5 hours per week on average.
- The model says nothing about average practice.
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