A statistical program is recommended.Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year students adjust to campus life. If Lakeland is able to show that the orientation program has a positive effect on retention, they will consider making the program a requirement for all first-year students. Lakeland's administration also suspects that students with lower GPAs have a higher probability of leaving Lakeland at the end of the first year. In order to investigate the relation of these variables to retention, Lakeland selected a random sample of 100 students from last year's entering class. The data are contained in the data set named Lakeland.The dependent variable was coded asy = 1if the student returned to Lakeland for the sophomore year andy = 0if not. The two independent variables are:x1 = GPA at the end of the first semesterx2 = 0 if the student did not attend the orientation program1 if the student attended the orientation program. #1) Use the estimated logit computed in part (c) to estimate the probability that students with a 2.5 grade point average who did not attend the orientation program will return to Lakeland for their sophomore year. (Round your answer to four decimal places.) _______ #1b) What is the estimated probability that students with a 2.5 grade point average who attended the orientation program will return to Lakeland for their sophomore year? (Round your answer to four decimal places.)______ #2) What is the estimated odds ratio for the orientation program? (Round your answer to four decimal places.) _______ #3) Interpret the estimated odds ratio. (Round your answer to four decimal places.)The odds of students who attended the orientation program continuing are__________ times greater than for students who did not attend the program.

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Description: A statistical program is recommended.Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year stud

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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A statistical program is recommended.

Over the past few years the percentage of students who leave Lakeland College at the end of the first year has increased. Last year Lakeland started a voluntary one-week orientation program to help first-year students adjust to campus life. If Lakeland is able to show that the orientation program has a positive effect on retention, they will consider making the program a requirement for all first-year students. Lakeland's administration also suspects that students with lower GPAs have a higher probability of leaving Lakeland at the end of the first year. In order to investigate the relation of these variables to retention, Lakeland selected a random sample of 100 students from last year's entering class. The data are contained in the data set named Lakeland.

The dependent variable was coded as

y = 1

if the student returned to Lakeland for the sophomore year and

y = 0

if not. The two independent variables are:

x₁

GPA at the end of the first semester

x₂

0 if the student did not attend the orientation program

1 if the student attended the orientation program.

#1) Use the estimated logit computed in part (c) to estimate the probability that students with a 2.5 grade point average who did not attend the orientation program will return to Lakeland for their sophomore year. (Round your answer to four decimal places.) _______

#1b) What is the estimated probability that students with a 2.5 grade point average who attended the orientation program will return to Lakeland for their sophomore year? (Round your answer to four decimal places.)______

#2)

What is the estimated odds ratio for the orientation program? (Round your answer to four decimal places.) _______

#3) Interpret the estimated odds ratio. (Round your answer to four decimal places.)

The odds of students who attended the orientation program continuing are__________ times greater than for students who did not attend the program.

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