Exam 14: Multivariate Analysis

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In a multivariate cross-tabulation, we control for a third variable by ________.

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C

___________ means that there is constant variance, or that the variation in Y is the same at each level of X.

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Each of the following is an important assumption about the errors terms in regression except:

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Why is each β term in a multiple regression equation called a partial regression coefficient?

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In a ____________ model, the expected value of the binary dependent variable or (what is the same thing) the probability that Y equals 1 is a linear function of the independent variables.

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Please explain how you can control the effects of a third variable in a multivariate cross-tabulation by grouping.

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How can we use a nominal level variable like region (East, West, South, and Midwest) in a regression analysis? How would you manipulate the variable for inclusion in the regression equation?

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When analyzing data with a regression, statisticians are often concerned with the residuals. What are residuals and why are they important?

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_______ regression is a nonlinear model in which the log odds of one response as opposed to another is the dependent variable.

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A _____________ relationship is one in which the association between two variables is caused by a third.

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What is multicolinearity and why is it important?

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What is meant by "controlling" for a third variable in a multivariate analysis?

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How does standardizing a variable affect the interpretation of the variable in a regression?

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A regression coefficient calculated from standardized variables is called a _________ regression coefficient, or, sometimes, a beta weight, and under certain, restricted circumstances might indicate the relative importance of each independent variable in explaining the variation in the dependent variable when controlling for all the other variables.

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A ___________ variable is a hypothetical index that has just two values: 0 for the presence (or absence) of a factor and 1 for its absence (or presence).

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Each of the following is an important assumption about the errors terms in regression except:

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The results from a standardized regression and the results from an unstandardized regression are similar in each of the following ways, except:

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Each of the following is key assumptions about the error term in a regression model, except:

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Please interpret the following multiple regression output table by indicating how you would interpret all of the statistics and coefficients we discussed in class. Make sure you interpret the relationship between each independent variable and the dependent variable and assess statistical significance.

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How would you test for statistical significance when performing a regression analysis using a t-test?

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