Mathematics · Regression & Extrapolation
The regression equation Y = 3 + 2X is calculated from 6 pairs of values, with X ranging from 1 to 10. The correlation coefficient is 0.8. It is estimated that Y = 43 when X = 20. Which statement best evaluates this forecast?
- 1The estimate is not reliable solely because the sample size is small.
- 2The estimate is reliable because the correlation coefficient is positive and high.
- 3The estimate is not reliable because the correlation coefficient is too low.
- 4The estimate is not reliable because X is outside the range of the sample data.✓
Correct answer
The estimate is not reliable because X is outside the range of the sample data.
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