Discuss the underlying assumptions of a simple linear regression model; multiple regression model; and polynomial regression.

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When we estimate a linear multiple regression model (including a linear simple regression model), it appears...

When we estimate a linear multiple regression model (including a linear simple regression model), it appears that the calculation of the coefficient of determination, R2, for this model can be accomplished by using the squared sample correlation coefficient between the original values and the predicted values of the dependent variable of this model. Is this statement true? If yes, why? If not, why not? Please use either matrix algebra or algebra to support your reasoning.

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Discuss the underlying assumptions of a simple linear regression model; multiple regression model; and polynomial regression.

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