[solution]: Consider a regression model of relating Y (the dependent

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Consider a regression model of relating Y (the dependent variable) to X (the independent

variable) Yi =  b0 + b1Xi+ ei   where ei is the stochastic or error term.  Suppose that the

estimated regression equation is stated as Yi = b0 + b1Xi and ei is the residual error term.

A.  What is ei and define it precisely.  Explain how it is related to ei.

B. What is eand define it precisely.  What are the four reasons for the inclusion of this error term in the population regression function (model)?

C.Draw a graph where you can clearly show E(Yi½XI) = b0 + b1XI and Yi = b0 + b1Xi.  Show

also in your graph e6 and e6 for the X6.  This graph graph will show true and estimated

regression lines together with their respective error terms.

D.  Distinguish or make contrast between an estimator and an estimate.

1. Consider a regression model of relating Y {the dependent variable) to X (the

independent variable) Yi = ?u + [3116+ si 1where ei is the stochastic or error term.

Suppose that the estimated...

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Dec 18, 2020

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