In the regression equation Y = a + bX, what does the intercept a represent?
Correct answer: A. The predicted value of Y when X equals zero
- A. The predicted value of Y when X equals zero
- B. The change in Y for one unit of X
- C. The average error in predicting Y
- D. The correlation between X and Y
Explanation
The intercept is the fitted value of Y at X equal to zero. The slope, not the intercept, describes the expected change in Y for a one-unit increase in X.
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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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