Write the logistic regression model for given problem

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Reference no: EM131431680

Reducing the number of workers. To be competitive in global markets, many corporations are undertaking major reorganizations. Often these involve "downsizing" or a "reduction in force" (RIF), where substantial numbers of employees are terminated. Federal and various state laws require that employees be treated equally regardless of their age. In particular, employees over the age of 40 years are in a "protected" class, and many allegations of discrimination focus on comparing employees over 40 with their younger coworkers. Here are the data for a recent RIF:

Terminated	Over 40
Terminated	No	Yes
Yes	7	41
No	504	765

(a) Write the logistic regression model for this problem using the log odds of a RIF as the response variable and an indicator for over and under 40 years of age as the explanatory variable.

(b) Explain the assumptions concerning binomial distributions in terms of the variables in this exercise. To what extent do you think that these assumptions are reasonable?

(c) Software gives the estimated slope b₁ = 1.3504 and its standard error SE_b1 = 0.4130. Transform the results to the odds scale. Summarize the results and write a short conclusion.

(d) If additional explanatory variables were available (for example, a performance evaluation), how would you use this information to study the RIF?

Reference no: EM131431680

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