Question
In a simple linear regression model, Y = a + bX + e, the
coefficient 'b' represents:Solution
- In the regression equation Y = a + bX + e:
- 'a' is the intercept -- the expected value of Y when X is 0  (option a describes 'a').
- 'b' is the slope coefficient . It quantifies the marginal effect: for a one-unit increase in the independent variable X, the dependent variable Y is expected to change by 'b' units, on average, ceteris paribus (all else held constant) .
- 'e' is the error term (option c).
Standard deviation and correlation are measures of dispersion and association, not regression coefficients (options d & e).
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