a) State the population regression with appropriate variable names b) Assess the
ID: 3318867 • Letter: A
Question
a) State the population regression with appropriate variable names
b) Assess the overall fit of the model using both the adjusted R^2 and an F test. Clearly explain.
c) Conduct a test of each independent variable at alpha= .05. Which variables are statistically significant?
d) Does it make a difference if an employee has a technical or clerical job? Explain.
e) Does gender matter? If so, by how much? Explain.
f) Predict the average monthly salary for a 23 years old female worker with 70 months of service in a technical job. Round to two decimals.
g) Find the 95% confidence interval for the monthly salary described in part f.
As part of your yearly report to the Mark Zuckerberg, you are required to present an analysis of the salaried Name: employees. Because there are over 17,000 employees, you do not have the staff to gather information on each salaried employee, so you select a random sample of 30. For each employee, you record monthly salary, service at FB, in months; age; gender (1 - male, 0 - female); and whether the employee has a technical or clerical job. Those working technical jobs are coded 1, and those who are clerical 0 Monthly Length of Monthly Length of Sal 3729 4186 3858 3819 3350 Gender Gender Sal 3769 3740 3941 4367 4467 3640 3756 3706 3767 3200 3706 3985 3555 3749 4056 Service Service 93 104 104 126 98 42 129 97 101 0 46 39 43 35 40 59 30 60 45 32 42 57 100 4030 4550 3544 3766 3937 3691 3623 123 94 96 124 73 110 90 104 35 46 56 23 67 36 53 107 105 86 3791 56 4001 95 30 106 45 3874Explanation / Answer
a)
y^ = b0 + b1 * length of servvide + b2 * age + b3 *gender + b4* job
b) R^2 = 0.4327
it is not a good fit
p-vaue for f-test = 0.0054, hence model is significant
c)
if p-value < 0.05, the variable is significant
here length of servie and gender are significant
,rest two are not
d)
since p-value of job is 0.7119 > 0.05
it does not make difference if an employee has a technical or clerical job
e) gender - yes
f) y^ = 2651.8575 + 13.4219 *70 -6.7102 * 23 + 205.6455 * 0 -33.4530* 1
= 3403.6029
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