Mathematics · Regression Analysis & Correlation
A regression equation Y = 3 + 2X was calculated from 6 pairs of data where X ranged from 1 to 10. The correlation coefficient is 0.8. Using this equation, Y is estimated to be 43 when X = 20. Which of the following statements is true regarding this estimate?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The estimate is reliable because the equation satisfies the straight line formula
- 2The estimate is not reliable only because the slope value is too high
- 3The estimate is reliable because the correlation coefficient of 0.8 is strong
- 4The estimate is not reliable because X = 20 is outside the range of observed data (extrapolation)✓
Correct answer
The estimate is not reliable because X = 20 is outside the range of observed data (extrapolation)
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