PRC-2 · Chapter 10 · Question 41 of 60
A regression line of Y on X must always mathematically pass through which specific coordinate point on a scatter diagram?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) The point representing the mean of X and the mean of Y (x-bar, y-bar).
Explanation
A foundational property of the least squares regression method is that the calculated line of best fit must strictly intersect the centroid of the dataset, which is the intersection of the variables' means.
More Correlation and Regression MCQs
- 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)?
- Q46Which of the following correctly defines the exact mathematical range within which the Pearson correlation coefficient (r) must always lie?
- Q47If the correlation coefficient (r) between two economic variables is exactly -0.70, what is the resulting 'coefficient of determination'…
