Problem-Solving and Data AnalysisHardHow far a data point sits above a model
Problem-Solving and Data Analysis practice question
A model predicts the height h of a seedling, in centimetres, from its age d in days: h = 20 + 0.8d. A seedling that is 50 days old is 70 centimetres tall. By how many centimetres does this seedling exceed the model's prediction?
Answer: 10
The model predicts 20 + 0.8(50) = 60 cm. The seedling is 70 cm, which is 10 cm more.
Common wrong answers
- If you answered 20
- 20 is the model's intercept.
- If you answered 50
- 50 is the seedling's age, not a height difference.
- If you answered 60
- 60 is the PREDICTED height, not how far the seedling exceeds it.
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