A researcher wants to determine if facets of emotional judgment predict counselor self-efficacy among professional counselors. Three scales of the Emotional Judgment Inventory (EJI) are used to measure one's perceived skill in understanding and using emotions effectively. Higher scores on the EJI scales reflect better emotional judgment. The three EJI scales used are: (1) Identifying Own Emotions (idslf), (2) Expressing Emotions Adaptively (expres), and (3) Managing Others' Emotions (mngothr). The total score of the Counseling Self-Estimate Inventory (COSE) was used to measure counselor self-efficacy (cosetot). Higher scores on the COSE reflect more perceived counseling self-efficacy. The study sample was comprised of 118 counselors. The researcher used a sequential MRA entering the predictor variables in the following order: (First) Identifying Own Emotions (idslf), (Second) Expressing Emotions Adaptively (expres), and (Third) Managing Others' Emotions (mngothr). Please use an alpha of 0.05 for all analyses. For the a priori power analysis using F tests > Linear multiple regression: Fixed model, R squared increase, the previous effect size Partial R squared = 0.10 (use in the Determine window and calculate and transfer to main window), alpha = 0.05, power = 0.80, Number of tested predictors = 3, Total number of predictors = 3.
1a. What was the highest Mahalanobis value and what was the X^2 critical value for 3 df at the 0.001 probability level using the Chi Square Distribution at DanielSoper.com?
a: Mahalanobis value = 14.504, X^2 critical value 2 df, 0.001 probability level is 13.452.
b: Mahalanobis value = 20.056, X^2 critical value 2 df, 0.001 probability level is 17.328.
c: Mahalanobis value = 13.398, X^2 critical value 2 df, 0.001 probability level is 16.266.
d: Mahalanobis value = 9.840, X^2 critical value 2 df, 0.001 probability level is 14.562.
1b. Is there a problem with multivariate outliers?
a: Yes
b: No
1c: Identify the bivariate correlations (in Correlations Table) of the 3 predictors correlations to the dependent variable.
a: 0.436, 0.360, 0.157
b: 0.436, 0.281, 0.297
c: 0.281, 0.205, 0.297