Exam 9: Regression

A psychologist was interested in whether the amount of news people watch predicts how depressed they are. Based on the output, is news exposure a significant predictor of depression?

Which of the following statements about the t-statistic in regression is not true?

Which of the following is not a reason why multicollinearity a problem in regression?

What is multicollinearity?

A consumer researcher was interested in what factors influence people's fear responses to horror films. She measured gender (0 = female, 1 = male) and how much a person is prone to believe in things that are not real (fantasy proneness) on a scale from 0 to 4 (0 = not at all fantasy prone, 4 = very fantasy prone). Fear responses were measured on a scale from 0 (not at all scared) to 15 (the most scared I have ever felt). How much variance (as a percentage) in fear is shared by gender and fantasy proneness in the population?

Which of these statements is not true?

When we want to determine the goodness of fit in a Linear regression model, we need to review which two items.

A psychologist was interested in whether the amount of news people watch predicts how depressed they are. In this table, what does the value 3.030 represent? $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$ ANOVA $^{a}$ Model Sum of Squares df Mean Square F Sig. 1 Regression 3.030 1 3.030 4.404 .03 Residual 57.115 83 .688 Total 60.145 84 a. Dependent Variable: Depression b. Predictors: (Constant), News Exposure

A psychologist was interested in whether the amount of news people watch predicts how depressed they are. Based on the output below, is there evidence that a meaningful relationship exists in the population?

When assessing the influence of a predictor in a linear model which of the following would you review.

The head of retail sales at a large cosmetic company was interested in determining what the best marketing model was for launching a forthcoming new product to ensure high sales. She ran two separate simple linear regressions; the first used money spent on social media marketing as a predictor and the second had money spent on print media as a predictor. The model featuring social media marketing as a predictor had a R² of .665, an adjusted R² of .661, an F-statistic of 112.56 (p 0.00). The model featuring print media marketing as a predictor had a R² of .665, an adjusted R² of .15, an F-statistic of 34 (p 0.00). Which marketing model should she invest in, based on these findings, in order to generate predicted higher sales?

Recent research has shown that lecturers are among the most stressed workers. A researcher wanted to know exactly what it was about being a lecturer that created this stress and subsequent burnout. She recruited 75 lecturers and administered several questionnaires that measured: Burnout (high score = burnt out), Perceived Control (high score = low perceived control), Coping Ability (high score = low ability to cope with stress), Stress from Teaching (high score = teaching creates a lot of stress for the person), Stress from Research (high score = research creates a lot of stress for the person), and Stress from Providing Pastoral Care (high score = providing pastoral care creates a lot of stress for the person). The outcome of interest was burnout, and Cooper's (1988) model of stress indicates that perceived control and coping style are important predictors of this variable. The remaining predictors were measured to see the unique contribution of different aspects of a lecturer's work to their burnout. What analysis has been carried out?

Recent research has shown that lecturers are among the most stressed workers. A researcher wanted to know exactly what it was about being a lecturer that created this stress and subsequent burnout. She recruited 75 lecturers and administered several questionnaires that measured: Burnout (high score = burnt out), Perceived Control (high score = low perceived control), Coping Ability (high score = low ability to cope with stress), Stress from Teaching (high score = teaching creates a lot of stress for the person), Stress from Research (high score = research creates a lot of stress for the person), and Stress from Providing Pastoral Care (high score = providing pastoral care creates a lot of stress for the person). The outcome of interest was burnout, and Cooper's (1988) model of stress indicates that perceived control and coping style are important predictors of this variable. The remaining predictors were measured to see the unique contribution of different aspects of a lecturer's work to their burnout. -How much variance in burnout does the final model explain for the sample? $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$ Model Summ ary ${ } ^ { d }$ Model R R Square Adjusted R Square Std. Error of the Estimate Durbin-W atson 1 .86 .753 .746 6.71701 2 .88 .782 .772 6.36233 3 .89 .803 .792 6.08191 1.461 a. Predictors: (Constant), Coping Ability, Perceived Control b. Predictors: (Constant), Coping Ability, Perceived Control, Stress from Teaching C. Predictors: (Constant), Coping Ability, Perceived Control, Stress from Teaching, Stress from providing pastoral Care d. Dependent Variable: Burnout