M6D2 RQ

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School

University of Michigan *

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Course

301

Subject

Industrial Engineering

Date

Jan 9, 2024

Type

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Pages

1

Uploaded by CommodoreCaribouMaster1044

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Question 1 The logistic regression model below estimates the probability of a teacher leaving his/her school (p) as a function of the number of years at the school () and the number of students in his/her class (z,). Assume that the fhici f both IVs ignil . What is the probability that a teacher who has been at the school for 2 years and has 25 students in the class leaves? as, 0/1pts [1fyou pluginr) = 2 and x, = 25 in the logistic function you get 0.07. Question 2 | Below s a logistic regression model fitted to data on the success of a chemistry experiment based on the heated-to temperature. Which of the following statements is TRUE about the plot above? | 107 e emmm emee o mecces o . = ° ° ° s a & Probability of Success ° 00 . ce e 150 2% 300 Temperature The probability of success when the temperature is 200 or less is about 3 The experiment has always succeeded when the temperature is less then 100 degree ‘The probability of success when temperature is 150 is about 70%. According to the graph at 150, the probability of success is about 0.7. We are interested in predicting the probability of whether a company's stock price falls on a given day with two predictors: yesterday's price (1) and whether the company has a risky credit position that day (r). When r=1, it means the company is in the "risky" category, and r=0 otherwise. Here are the point estimates for the coefficients: y-intercept: by =2, b, = 0.01,and b, = correct model for predicting the probability of whether the company's stock price falls (p) as a function of its previous day price () when the company is categorized as in a risky credit position (r=1)2 } Question 3 | \ \ P =05+001p, 1/1pts 0/1pts 1.5. Which of the following is the =T | 1 ‘We have a binary dependent variable -> we have to use logistic regression. | For the exponent term we have (2 + 0.01p, - 1.5) when r = 1 can be simplified to: | | @2+001p,-151) | (2+001p, - 1.5) (0.5+001p,)
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