A psychologist conducted a study to examine the nature of the relation, if any, between an employee’s emotional stability and the employee’s ability to perform in a task group. Emotional stability was measured by a written test for which the higher the score, the greater the emotional stability. Ability to perform in a task group was evaluated by the supervisor. An employee was given a 1 if they were able to perform a task in the group, and 0 if they were unable. Following output gives the results from a logistic regression analysis on the data provided by a sample of 27 employees.   (a) what is the estimated logistic regression line? (b) Convert your slope estimate into an estimate for the odds ratio, and interpret the results. (c) Estimate the odds of the being able to perform in a task group for an employee with an emotional stability score of 510.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A psychologist conducted a study to examine the nature of the relation, if any, between an employee’s emotional stability and the employee’s ability to perform in a task group. Emotional stability was measured by a written test for which the higher the score, the greater the emotional stability. Ability to perform in a task group was evaluated by the supervisor. An employee was given a 1 if they were able to perform a task in the group, and 0 if they were unable. Following output gives the results from a logistic regression analysis on the data provided by a sample of 27 employees.

 

(a) what is the estimated logistic regression line?

(b) Convert your slope estimate into an estimate for the odds ratio, and interpret the results.

(c) Estimate the odds of the being able to perform in a task group for an employee with an emotional stability score of 510.

Output 2: Logistic Regression output for the group task ability versus emotional
stability study
Binary Logistic Regression: TaskAbility versus EmotionalStability
Link Function: Logit
Response Information
Variable
TaskAbility
Value
Count
1
13
(Event)
14
Total
27
Logistic Regression Table
Predictor
Coef
SE Coef
P
Constant
-12.00621
5.31245
-2.26
0.024
EmotionalStability
0.02339
0.01034
2.26
0.024
Transcribed Image Text:Output 2: Logistic Regression output for the group task ability versus emotional stability study Binary Logistic Regression: TaskAbility versus EmotionalStability Link Function: Logit Response Information Variable TaskAbility Value Count 1 13 (Event) 14 Total 27 Logistic Regression Table Predictor Coef SE Coef P Constant -12.00621 5.31245 -2.26 0.024 EmotionalStability 0.02339 0.01034 2.26 0.024
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