Are state right-to-work laws related to the percent of public sector employees i

Question

Are state right-to-work laws related to the percent of public sector employees in unions and me percent of private sector employees in unions? (Each predictor variable has a value between 0 and 100) A data set looks al these percentages for a random sample of states. The dependent variable is whether the state had a right-to-work law or not. The computer output for the logistic regression is given below. Complete parts a through e below. a) Write the estimated regression model. logit(p) = + () publ + () pvt b) What is the predicted log odds (logit) of the probability that a state has a right-to-work law if 20% of the public and 10% of the private sector employees are in unions? logit(p) = (Round to five decimal places as needed.) c) What is the predicted probability of that state? p = (Round to five decimal places as needed) d) What is the probability log odds (logit that a state has a right-to-work law if 40% of the public and 20% of the private sector employees are

Explanation / Answer

Part-a

Logit(phat)=6.11971-0.11607 publ -0.22934 pvt

Part-b

Logit (phat)= 6.11971-0.11607*20-0.22934*10=1.50491

Part-c

Logit (phat)=1.50491 gives

Log(p/(1-p))= 1.50491

So p/(1-p)=exp(1.50491)= 4.503748275

So p=4.503748275*(1-p)

So, p(1+4.503748275)= 4.503748275

Hence,p=4.503748275/(1+4.503748275)= 0.81831

Part-d

Logit (phat)= 6.11971-0.11607*40-0.22934*20 = -3.10989

Part-e

Logit (phat)= -3.10989gives

Log(p/(1-p))= -3.10989

So p/(1-p)=exp(-3.10989)= 0.044605862

So p=0.044605862*(1-p)

So, p(1+0.044605862)= 0.044605862

Hence,p=0.044605862/(1+0.044605862)= 0.04270

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.