Exam 3: Multiple Regression Analysis: Estimation

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A larger error variance makes it difficult to estimate the partial effect of any of the independent variables on the dependent variable.

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Find the degrees of freedom in a regression model that has 10 observations and 7 independent variables.

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The term _____ refers to the problem of small sample size.

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A

Exclusion of a relevant variable from a multiple linear regression model leads to the problem of _____.

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If the explained sum of squares is 35 and the total sum of squares is 49,what is the residual sum of squares?

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Suppose the variable x2 has been omitted from the following regression equation, Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is negative if _____. . Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is negative if _____. is the estimator obtained when x2 is omitted from the equation.The bias in Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is negative if _____. is negative if _____.

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The value of R2 always _____.

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The assumption that there are no exact linear relationships among the independent variables in a multiple linear regression model fails if _____,where n is the sample size and k is the number of parameters.

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An explanatory variable is said to be exogenous if it is correlated with the error term.

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Suppose the variable x2 has been omitted from the following regression equation, Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.If E(   )>β<sub>1</sub>,   is said to _____. . Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.If E(   )>β<sub>1</sub>,   is said to _____. is the estimator obtained when x2 is omitted from the equation.If E( Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.If E(   )>β<sub>1</sub>,   is said to _____. )>β1, Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.If E(   )>β<sub>1</sub>,   is said to _____. is said to _____.

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The term "linear" in a multiple linear regression model means that the equation is linear in parameters.

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In the equation, In the equation,   ,   is a(n)_____. , In the equation,   ,   is a(n)_____. is a(n)_____.

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If an independent variable in a multiple linear regression model is an exact linear combination of other independent variables,the model suffers from the problem of _____.

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Which of the following is true of R2?

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The coefficient of determination (R2)decreases when an independent variable is added to a multiple regression model.

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The Gauss-Markov theorem will not hold if _____.

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The key assumption for the general multiple regression model is that all factors in the unobserved error term be correlated with the explanatory variables.

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Suppose the variable x2 has been omitted from the following regression equation, Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is positive if _____. . Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is positive if _____. is the estimator obtained when x2 is omitted from the equation.The bias in Suppose the variable x<sub>2</sub> has been omitted from the following regression equation,   .   is the estimator obtained when x<sub>2</sub> is omitted from the equation.The bias in   is positive if _____. is positive if _____.

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High (but not perfect)correlation between two or more independent variables is called _____.

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Consider the following regression equation: Consider the following regression equation:   .What does β<sub>1</sub> imply? .What does β1 imply?

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