1. The Decomposition of Variance in a Simple Regression Model
a. In a simple Y vs X regression, show graphically and algebraically the following evaluated at the same X point:
i. the "explained" portion of the variation in Y
ii. the " unexplained" portion of the variation in Y
iii. the "total" portion of the variation in Y
b. In the two-variable (Y vs. X) regression equation, what is the algebraic definition for the:
i. Y-intercept
ii. Slope coefficient