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Over the past few years the percentage of students who leave Lakeland College at the endof the first year has increased. Last year Lakeland started a voluntary one-week orientationprogram to help first-year students adjust to campus life. If Lakeland is able to show thatthe orientation program has a positive effect on retention, they will consider makingthe program a requirement for all first-year students. Lakeland’s administration alsosuspects that students with lower GPAs have a higher probability of leaving Lakeland atthe 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. Thedata are contained in the data set named Lakeland; a portion of the data follows.Student GPA Program Return1 3.78 1 12 2.38 0 13 1.30 0 04 2.19 1 05 3.22 1 16 2.68 1 1. . . .. . . .. . . .98 2.57 1 199 1.70 1 1100 3.85 1 1The dependent variable was coded as y 1 if the student returned to Lakeland for thesophomore year and y 0 if not. The two independent variables are:x2 0 if the student did not attend the orientation program1 if the student attended the orientation programx1 GPA at the end of the first semestera. Write the logistic regression equation relating x1 and x2 to y.b. What is the interpretation of E( y) when x2 0?c. Use both independent variables and Minitab to compute the estimated logit.d. Conduct a test for overall significance using a .05.e. Use a .05 to determine whether each of the independent variables is significant.f. Use the estimated logit computed in part (c) to compute an estimate of the probabilitythat students with a 2.5 grade point average who did not attend the orientation programwill return to Lakeland for their sophomore year. What is the estimated probability forstudents with a 2.5 grade point average who attended the orientation program?g. What is the estimate of the odds ratio for the orientation program? Interpret it.h. Would you recommend making the orientation program a required activity? Why orwhy not?
Find the power of the test designed to determine if the the new safety equipment is effective when the mean percent reduction is actually 2.3%. Assume that the population standard deviation is 12% and that α is 0.02. What is the power?
Additionally, method of delivery of drug (patch,pill, or nasal mist) was considered. In experiment, there were how many treatments?
Company W is testing a sales software. Their salesforce of 500 people is divided into four regions: Northeast, Southeast, Central and West. Each sales person is expected to sell the same amount of products.
A description of a Pew Research Center poll referred to "the random generation of the last two digits of telephone numbers." Each digits has the same chance of being randomly generated. Construct a table representing the probability distribution f..
Assume the risk-free interest is 5%. If WT borrows $100 million today at this rate and uses the proceeds to pay an immediate cash dividend, what will be the market value of its equity just after the dividend is paid, according to MM?
A researcher is interested in whether social assertiveness might be influenced by training procedures. Two groups of college sophomores are randomly selected. Group A subjects are assigned to the "training sessions" and Group B subjects do not rec..
Determine the mode for this distribution. Describe why you can't calculate the mean number of times using data in the table.
A random sample of 100 people was taken. Eighty of the people in the sample favored candidate A. The 95% confidence interval for the true proportion of people who favor Candidate A is?
Find a 90% confidence interval for the mean amount left by all groups.
The number of hours a 100 watt bulb will operate before burning out is approximately normally distributed with standard deviation σ=50.
In brief describe three situations in which the 'First In First Out' discipline rule is not applicable in queuing analysis. Provide examples of four situations in which there are limited, or finite population.
The weekly salaries of teachers in one state are normally distributed with mean of $490 and standard deviation of $45. Determine the probability that a randomly selected teacher earns more than $525 per week?
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