The two least-squares regression lines for X and Y intersect at which point?
Correct answer: D. The point of means, (X̄, Ȳ)
- A. The origin, (0, 0)
- B. The point of maximum observation
- C. The point of standard deviations
- D. The point of means, (X̄, Ȳ)
Explanation
Both regression equations pass through the means of the two variables, so their intersection is (X̄, Ȳ). They do not generally pass through the origin unless the data have special properties.
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About Correlation and Regression
Correlation describes the direction and strength of association between two variables using scatter diagrams and correlation coefficients. Regression covers fitted lines, regression equations, prediction and least squares, with a clear distinction between association and causation and between estimating a response value and reversing the roles of the variables.
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