Exam 17: Multiple Regression

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Which of the following are key challenges in combining predictors in multiple regression as discussed by Shultz, Whitney, and Zickar (2021)? ________.

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D

What are problems that multicollinearity cause with multiple regression in terms of prediction.

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Multicollinearity relates to the amount of empirical overlap predictors have with each other. When there is large overlap, the amount of the overall R² is going to be lower than would be expected by looking at individual correlations. In addition, including redundant predictors can make interpretation of regression coefficients difficult. Finally, by including redundant predictors, you are unnecessarily wasting participant time without a gain in prediction.

The adjusted R² controls for which of the following factors to correct the obtained R² ______________.

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C

A regression equation that was computed on one sample should be applied to a new sample to determine whether the regression coefficients from the first sample capitalize on chance. What factor is associated with less capitalization on chance?

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When building a multiple regression equation to increase prediction, you should choose variables that ______.

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If you are interested in the original metrics of your variables, you should use ______ regression coefficients.

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Why might you use a standardized regression equation versus an unstandardized regression equation?

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What are key statistics that should be used to evaluate the effectiveness of a regression equation for prediction?

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Suppose you have four predictor variables and you want to use them to statistical predict an outcome variable. Which of the following techniques would be best to generate a predication equation?

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If your boss wants to figure out how much variance your regression equation should account for in a new sample, which statistic should you report to her?

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If we want to see the percentage of variance in our outcome variable accounted for by our predictor variables, we need to examine which of the following statistics? 

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Suppose you are designing a selection battery that could be used to predict success for a particular job, food service preparation employee. You have several suggested predictor variables and your boss suggested that you use multiple regression to develop an equation used for weighting and hiring. You need to collect data on existing employees and so, knowing what you've read in Shultz, Whitney, and Zickar (2021) what are some steps and principles that will help guide data collection.

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When three predictors are highly correlated with each other, which of the following is likely?

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Which of the following statistics provides the most direct estimate of the average amount of error in regression equation predictions?

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What are strategies for avoiding capitalizing on chance in multiple regression?

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