Question
A company wants to study the relationship between an employees length of employment and their number of workdays per year of absenteeism.The company collected the
A company wants to study the relationship between an employees length of employment and their number of workdays per year of absenteeism.The company collected the following information on a random sample of seven employees.
EmployeeYears with Company (X)#workdays absent (Y)
Tom Jones52
Ed Smith63
Nora Sands93
Mirna Charles45
Charla Davis27
Nick Johnson27
Al Sloan08
Note: Sx =3, Sy=2.38
First Question:(There are three questions that pertain to this problem)Calculate the value ofr.
A.-0.834
B.-0.864
C.0.864
D.0.834
Second Question:Assume that the coefficient of determination in the previous problem is 0.747.Explain what can be concluded from this number, in terms of the variation in the dependent variable.
A.People with more years at the company are older and they get sick more.
B.55.7% of the variation in Y can be explained by the variation in X.
C.Y affects X more than X affects Y.
D.74.6% of the variation in Y can be explained by the variation in X.
Third Question:Develop the regression equation.
A.Y = 8.39 - .685X
B.Y = 13.32 + .927X
C.Y = 7.74 - .685X
D.Y = 6.51 + .927X
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