PRC-2 · Chapter 10 · Question 52 of 60
A regression line of Y on X must mathematically always pass perfectly 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 (x̄, ȳ).
Explanation
A foundational algebraic property of the least squares regression method dictates that the calculated line of best fit must strictly intersect the centroid of the dataset, which is the exact intersection of the variables' means.
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