Exam 2: The Simple Regression Model

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  is the ratio of the explained variation compared to the total variation. is the ratio of the explained variation compared to the total variation.

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In the equation y = In the equation y =   +   x + u,what is the estimated value of   ? + In the equation y =   +   x + u,what is the estimated value of   ? x + u,what is the estimated value of In the equation y =   +   x + u,what is the estimated value of   ? ?

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The variance of the slope estimator increases as the error variance decreases.

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What is the estimated value of the slope parameter when the regression equation,y = β0 + β1x1 + u What is the estimated value of the slope parameter when the regression equation,y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + u   passes through the origin? passes through the origin?

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The sample covariance between the regressors and the Ordinary Least Square (OLS)residuals is always positive.

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In the equation y = In the equation y =   +   x + u,   is the _____. + In the equation y =   +   x + u,   is the _____. x + u, In the equation y =   +   x + u,   is the _____. is the _____.

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There are n-1 degrees of freedom in Ordinary Least Square residuals.

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The explained sum of squares for the regression function, The explained sum of squares for the regression function,   ,is defined as _____. ,is defined as _____.

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Which of the following is a nonlinear regression model?

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Consider the following regression model: y = β0 + β1x1 + u.Which of the following is a property of Ordinary Least Square (OLS)estimates of this model and their associated statistics?

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What does the equation What does the equation   denote if the regression equation is y = β<sub>0</sub> + β<sub>1</sub>x<sub>1</sub> + u? denote if the regression equation is y = β0 + β1x1 + u?

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If a change in variable x causes a change in variable y,variable x is called the _____.

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A natural measure of the association between two random variables is the correlation coefficient.

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In the equation c = In the equation c =   +   i + u,c denotes consumption and i denotes income.What is the residual for the 5<sup>th</sup> observation if   =$500 and   =$475? + In the equation c =   +   i + u,c denotes consumption and i denotes income.What is the residual for the 5<sup>th</sup> observation if   =$500 and   =$475? i + u,c denotes consumption and i denotes income.What is the residual for the 5th observation if In the equation c =   +   i + u,c denotes consumption and i denotes income.What is the residual for the 5<sup>th</sup> observation if   =$500 and   =$475? =$500 and In the equation c =   +   i + u,c denotes consumption and i denotes income.What is the residual for the 5<sup>th</sup> observation if   =$500 and   =$475? =$475?

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A dependent variable is also known as a(n)_____.

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If the total sum of squares (SST)in a regression equation is 81,and the residual sum of squares (SSR)is 25,what is the explained sum of squares (SSE)?

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In the regression of y on x,the error term exhibits heteroskedasticity if _____.

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The error term in a regression equation is said to exhibit homoskedasticty if _____.

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Which of the following is assumed for establishing the unbiasedness of Ordinary Least Square (OLS)estimates?

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If the residual sum of squares (SSR)in a regression analysis is 66 and the total sum of squares (SST)is equal to 90,what is the value of the coefficient of determination?

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