PRC-2 · Chapter 10 · Question 39 of 60
Which of the following is a significant mathematical risk when using a linear regression model for 'extrapolation'?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: B) Predicting values entirely outside the historical range assumes the linear relationship continues indefinitely, which may be false.
Explanation
Extrapolation implies predicting outcomes beyond the limits of the sampled data. This is risky because the established linear relationship might flatten, curve, or break down completely at extreme levels.
More Correlation and Regression MCQs
- Q41A regression line of Y on X must always mathematically pass through which specific coordinate point on a scatter diagram?
- Q42What does a correlation coefficient (r) of -0.92 mathematically indicate about the relationship between two variables?
- Q43In a regression analysis testing how rainfall (in mm) affects crop yield (in tons), which variable is considered the 'independent variable'?
- Q44If you calculate the regression line of Y on X, and then subsequently calculate the regression line of X on Y, under what strict condition…
- Q45If a set of data yields a regression equation of Y = 10 + 0X, what is the value of the correlation coefficient (r)?
