Metainformation
| Tag | Value |
|---|---|
| file | Inferential_Statistics_vufsw-multiplelinearregression-1003-en_vufsw-multiplelinearregression-1003-en |
| name | vufsw-multiplelinearregression-1003-en |
| section | inferential statistics/regression/multiple linear regression |
| type | schoice |
| solution | FALSE, FALSE, FALSE, TRUE |
| Type | interpretating output |
| Program | NA |
| Language | English |
| Level | statistical reasoning |
Question
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 tot heir burnout.
How would you interpret the beta value for ‘perceived control’ in
regression 3?
- FALSE: As perceived control increases by one standard deviation, burnout increases by 0.541 standard deviations controlling for the other variables. Therefore, the lower perceived control is the lower burnout becomes. The effect is statistically significant.
- FALSE: As perceived control increases by one unit, burnout increases by 0.541 units controlling for the other variables. Therefore, the higher perceived control is, the higher the burnout becomes. The effect is statistically significant.
- FALSE: As perceived control increases by one standard deviation, burnout increases by 0.541 units controlling for the other variables. Therefore, the higher the perceived control is, the higher burnout becomes. The effect is statistically significant.
- TRUE: As perceived control increases by one standard deviation, burnout increases by 0.541 standard deviations controlling for the other variables. Therefore, the lower the perceived control is, the higher burnout becomes. The effect is statistically significant.
Solution
If X increases with 1 standard deviation then Y increases with beta standard deviations controlling for the other variables. This is the definition of the interpretation of a standardized coefficient (beta) in a regression. Take also into account that the coefficient is positive and the fact that high values of perceived control indicate a low ability to cope with stress.
Language
English
M&T MVA
Standaardwaarde
M&T Regression assumptions
Default value
- False
- False
- False
- True