In the regression equation Y = 12 + 4X, the number 4 represents the:
Correct answer: D. Slope of the regression line
- A. Intercept of the equation
- B. Mean value of Y
- C. Correlation coefficient
- D. Slope of the regression line
Explanation
The coefficient of X is the slope, so the value 4 means that predicted Y increases by 4 units when X increases by one unit. The number 12 is the intercept, not the slope.
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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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