## PSYC 815 Quiz Bivariate and Multivariate

**PSYC 815 Quiz: Bivariate and Multivariate Correlation/Multiple Regression **

Covers the Textbook material from Module 8: Week 8.

- The three predictor (or independent) variables are operationally defined as scores on the Indentifying Own Emotions, Expressing Emotions Adaptively, and Managing Others’ Emotions scales of the Emotional Judgment Inventory (EJI) How do you interpret the scores on the scales?
- The dependent (outcome) variable counselor self-efficacy is operationally defined by scores on the Counseling Self-Estimate Inventory (COSE). How do you interpret the scores on the scale?
- What was the Actual Power and the Total sample size needed from the a priori power analysis using G*Power?
- Does the a priori power analysis suggest that we should proceed with the study?
- What was the highest Mahalanobis value and what was the Χ2 critical value for 3
*df*at the .001 probability level using the Chi Square Distribution at DanielSoper.com? - Is there a problem with multivariate outliers?
- Identify the bivariate correlations (in Correlations Table) of the 3 predictors correlations to the dependent variable.
- Do the bivariate correlations to the dependent variable suggest that there may be a worthwhile multiple regression model?
- Identify the bivariate correlations (in Correlations Table) between the predictor variables.
- Do the bivariate correlations between the predictor variables suggest that there may be redundancy among the predictor variables?
- Identify the tolerance values to check for multicollinearity in the Coefficients table of Model 3.
- Do we have a problem with multicollinearity that shows that the predictors are measuring the same thing?
- Looking at the histogram of standardized residuals was the assumption of normality met?
- Looking at the P-P plot of standardized residuals was the assumption of normality met?
- When looking at a scatter plot of residuals, if you can visualize a band surrounding the scatter plot of residuals approximating the form of a rectangle, then the underlying assumptions of normality, linearity, and homoscedasticity are likely all met. Specifically, looking at the scatter plot of residuals for linearity, what was the finding?
- What was the finding relative to homoscedasticity assessing the residual scatter plot?
- Review the results of the sequential MRA and start with the Model Summary table using α = .05. The omnibus null hypothesis is stated as:
*Y*CounSelfEff*f*(*X*idslf,*X*expres,*X*mngothr) = 0, which is saying that the predictors will not significantly predict the dependent variable of counseling self-efficacy. In Model 1, only assess whether Identifying Own Emotions predicts counseling self-efficacy. What was the multiple correlation (*R*), coefficient of determination (*R*2)? - In Model 1, the R Square Change only relates to the addition of the one variable Indentifying Own Emotions so
*R*2 will be the same as R Square Change. Was the R Square Change significant? - In Model 2, the second variable of Expressing Emotions Adaptively is added to Identifying Own Emotions predicting counseling self-efficacy. What was the multiple correlation (
*R*), coefficient of determination (*R*2)? - The R Square Change in Model 2 only relates to the Expressing Emotions Adaptively variable that was added to the model. Was the R Square Change significant for the addition of Expressing Emotions Adaptively?
- In Model 3, the third variable of Managing Others’ Emotions is added to Expressing Emotions Adaptively and Identifying Own Emotions predicting counseling self-efficacy. What was the multiple correlation (
*R*), coefficient of determination (*R*2)? - The R Square Change in Model 3 only relates to the Managing Others’ Emotions variable that was added to the model. Was the R Square Change significant for the addition of Managing Others’ Emotions?
- The ANOVA table shows that the Model 1, Model 2, and Model 3 are all significant. Is it accurate to say that the reason that Model 3 is significant is because of the predictors of Identifying Own Emotions and Expressing Emotions Adaptively are significant with little to no help from Managing Others’ Emotions?
- The Coefficients table provides information about testing the significance of each predictor variable by itself to counseling self-efficacy using
*t*-tests. Was Identifying Own Emotions significant in predicting counseling self-efficacy as indicated in Model 3? - Was Expressing Emotions Adaptively significant in predicting counseling self- efficacy as indicated in Model 3?