Exam 11: Regression Analysis: Statistical Inference

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Another term for constant error variance is:

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In regression analysis, extrapolation is performed when you:

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The Durbin-Watson statistic can be used to test for autocorrelation.

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A confidence interval constructed around a point prediction from a regression model is called a prediction interval, because the actual point being estimated is not a population parameter.

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The assumptions of regression are: 1) there is a population regression line, 2) the dependent variable is normally distributed, 3) the standard deviation of the response variable remains constant as the explanatory variables increase, and 4) the errors are probabilistically independent.

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Suppose you forecast the values of all of the independent variables and insert them into a multiple regression equation and obtain a point prediction for the dependent variable. You could then use the standard error of the estimate to obtain an approximate:

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In simple linear regression, if the error variable In simple linear regression, if the error variable   is normally distributed, the test statistic for testing   is t-distributed with n - 2 degrees of freedom. is normally distributed, the test statistic for testing In simple linear regression, if the error variable   is normally distributed, the test statistic for testing   is t-distributed with n - 2 degrees of freedom. is t-distributed with n - 2 degrees of freedom.

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In time series data, errors are often not probabilistically independent.

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The ANOVA table splits the total variation into two parts. They are the:

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Many statistical packages have three types of equation-building procedures. They are:

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Which of the following is the relevant sampling distribution for regression coefficients?

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When there is a group of explanatory variables that are in some sense logically related, all of them must be included in the regression equation.

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Which of the following is not one of the assumptions of regression?

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When determining whether to include or exclude a variable in regression analysis, if the p-value associated with the variable's t-value is above some accepted significance value, such as 0.05, then the variable:

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The objective typically used in the tree types of equation-building procedures is to:

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Suppose that one equation has 3 explanatory variables and an F-ratio of 49. Another equation has 5 explanatory variables and an F-ratio of 38. The first equation will always be considered a better model.

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Do you see any problems evident in the plot below of residuals versus fitted values from a multiple regression analysis? Explain your answer. Do you see any problems evident in the plot below of residuals versus fitted values from a multiple regression analysis? Explain your answer.

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A forward procedure is a type of equation building procedure that begins with only one explanatory variable in the regression equation and successively adds one variable at a time until no remaining variables make a significant contribution.

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The residuals are observations of the error variable The residuals are observations of the error variable   . Consequently, the minimized sum of squared deviations is called the sum of squared error, labeled SSE. . Consequently, the minimized sum of squared deviations is called the sum of squared error, labeled SSE.

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There is evidence that the regression equation provides little explanatory power when the F-ratio:

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