Exam 2: The Simple Regression Model

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In the equation In the equation   is the _____. is the _____.

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D

Simple regression is an analysis of correlation between two variables.​

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

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B

In the equation In the equation   , c denotes consumption and i denotes income. What is the residual for the 5<sup>th</sup> observation if   =$500 and   =$475? , c denotes consumption and i denotes income. What is the residual for the 5th observation if In the equation   , 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 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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The variance of the slope estimator increases as the error variance decreases.

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

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

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

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What is the estimated value of the slope parameter when the regression equation, y = What is the estimated value of the slope parameter when the regression equation, y =   <sub>0</sub> +   <sub>1</sub>x<sub>1</sub> + u passes through the origin? 0 + What is the estimated value of the slope parameter when the regression equation, y =   <sub>0</sub> +   <sub>1</sub>x<sub>1</sub> + u passes through the origin? 1x1 + u passes through the origin?

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

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Consider the following regression model: y = Consider the following regression model: y =   <sub>0</sub> +   <sub>1</sub>x<sub>1</sub> + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics? 0 + Consider the following regression model: y =   <sub>0</sub> +   <sub>1</sub>x<sub>1</sub> + u. Which of the following is a property of Ordinary Least Square (OLS) estimates of this model and their associated statistics? 1x1 + 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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Which of the following is a nonlinear regression model?

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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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R2 is the ratio of the explained variation compared to the total variation.

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The sample correlation between xi and yi is denoted by _____.​

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If xi and yi are positively correlated in the sample then the estimated slope is _____.​

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