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

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