In the formula Ŷ = a + b(X), a is the:
A) slope.
B) intercept.
C) predicted value for the dependent variable.
D) observed value on the independent variable.

Question

Quizplus · Accepted Answer

In the formula Ŷ = a + b(X), a represents the intercept, which is the point where the regression line intersects with the y-axis. It is not the slope (b), which represents the degree of change of the dependent variable for each unit of the independent variable. It is also not the predicted value for the dependent variable (Ŷ), which is the value estimated by the regression equation for a given value of the independent variable (X). Lastly, it is not the observed value on the independent variable, which is represented by X itself.

In the Formula Ŷ = a + B(X), a Is