Exam 14: Simple Linear Regression Analysis

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A very insignificant independent variable (an independent variable that has a very weak relationship with the dependent variable)is added to a multiple regression equation.As a result of this change,the value of the explained variation (SSR)will _________,the value of the multiple coefficient of determination ( )will _________,and the calculated value of the F statistic will most likely _________.

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D

The natural logarithm of the odds is called the logit.

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True

In multiple regression analysis,which one of the following is the appropriate notation for error (residual)?

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B

As we increase the number of independent variables in a multiple regression model,the F statistic will __________ increase.

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In multiple regression analysis,the explained sum of squares divided by the total sum of squares yields the __________.

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The critical value for Dfbetas statistics is 1.

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Which of the following is not an assumption of the multiple linear regression model?

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A partial F test is used to assess when at least one variable in a subset of squared and interaction variables in the multiple regression model is significant.

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In a multiple regression model,we can conclude that multicollinearity exists if the average variance inflation factor is substantially greater than _____.

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When using a multiple regression model,we assume that error terms (residuals)are distributed according to a(n)________________ distribution.

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In a multiple regression analysis,if the normal probability plot ____________,then it can be concluded that the assumption of normality is not violated.

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An application of the multiple regression model generated the following results involving the F test of the overall regression model:p-value= .0012,R2 = .67,and s = .076.Thus,the null hypothesis,which states that none of the independent variables are significantly related to the dependent variable,should be rejected at the .05 level of significance.

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If the simple correlation coefficient between two independent variables is greater than .90,then ______________________ is considered to be severe.

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In using a regression model,if a new independent variable is added,the value of (the coefficient of multiple determination)will ___________ decrease.

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Leverage value is a statistic used to determine an outlier.

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If a regression model with k independent variables has a C statistic less than _______,then the model is considered to be desirable.

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The y-intercept (β0)in a multiple regression model represents the estimated value of the __________ variable,when the value of all independent variables are _________.

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Plotting the residuals in a time-ordered sequence will reveal possible violations of the __________ of error terms assumption.

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Dfbetas and Dffits are statistics used to determine an outlier.

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Which of the following residual plots is not used in regression analysis?

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