4. The ICMA is interested in whether the number of employees calling in sick per 1000 employees per day for Texas medium-to-large local governments is a function of the % fully vaccinated in their county. They take a sample of one random day for nine local Texas governments in randomly chosen counties, all with similar employee staffing numbers. You may do this problem by hand or with SPSS (you have to create your own dataset).

MATLAB: An Introduction with Applications
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4. The ICMA is interested in whether the number of employees calling in sick per 1000 employees
per day for Texas medium-to-large local governments is a function of the % fully vaccinated in
their county. They take a sample of one random day for nine local Texas governments in randomly
chosen counties, all with similar employee staffing numbers.
You may do this problem by hand or with SPSS (you have to create your own dataset).
# Employees Calling in Sick per 1000
% Fully Vaccinated
15
125
20
115
20
90
30
80
70
40
40
70
85
30
18
14
20
35
a) State your null and alternative hypotheses formally and in lay terms for a simple
regression
b) Calculate r and the regression line (y = a + bx) and reject/accept at a=.05. You must
state the estimated regression line even if Ho is accepted and show math for t.
c)
Explain your findings in lay terms using r-square, r, b as appropriate
d)
Calculate, provide the formal interval, and explain in layterms the confidence interval
for b if relevant. If not, you MUST explain why not.
Transcribed Image Text:4. The ICMA is interested in whether the number of employees calling in sick per 1000 employees per day for Texas medium-to-large local governments is a function of the % fully vaccinated in their county. They take a sample of one random day for nine local Texas governments in randomly chosen counties, all with similar employee staffing numbers. You may do this problem by hand or with SPSS (you have to create your own dataset). # Employees Calling in Sick per 1000 % Fully Vaccinated 15 125 20 115 20 90 30 80 70 40 40 70 85 30 18 14 20 35 a) State your null and alternative hypotheses formally and in lay terms for a simple regression b) Calculate r and the regression line (y = a + bx) and reject/accept at a=.05. You must state the estimated regression line even if Ho is accepted and show math for t. c) Explain your findings in lay terms using r-square, r, b as appropriate d) Calculate, provide the formal interval, and explain in layterms the confidence interval for b if relevant. If not, you MUST explain why not.
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