Problem-Solving and Data AnalysisMediumPrediction from an exponential fit
Problem-Solving and Data Analysis practice question
An exponential curve fitted to a set of data is y = 50(1.2)ˣ. According to this model, what is the predicted value of y when x = 2?
Answer: 72
y = 50 × 1.2² = 50 × 1.44 = 72.
Common wrong answers
- If you answered 60
- 60 is 50 × 1.2, the value at x = 1.
- If you answered 70
- 70 adds 20% of 50 twice (10 + 10). The second 20% is taken of 60, giving 12.
- If you answered 120
- 120 is 50 × 1.2 × 2, multiplying by 2 instead of squaring 1.2.
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