A researcher in human resources has expressed concern about the differences in job satisfaction results across units within an organization. The researcher conducts a study to investigate what factors could account for the differences. The researcher looked at a random sample of units across the organization and used the factors of percentage of employees with a university degree, the average age of the employees, and the average salary of employees within a unit. The results of the study are presented below:
$\begin{array} { l c l } \text { Predictor } & \text { Coef } & \text { SE Coef } \ \text { Constant } & 35.178 & 7.595 \ \text { Degree } & 0.22073 & 0.07131 \ \text { Age } & 0.3353 & 0.1901 \ \text { Salary } & 0.0930 & 0.1675 \end{array}$
$s = 7.62090$
Analysis of Variance
$\begin{array} { l c c } \text { Source } & \text { DF } & \text { SS } \ \text { Regression } & 3 & 1053.09 \ \text { Residual Error } & 32 & 1858.50\\ \text { Source } & \text { DF } & \text { Seq SS } \ \text { Degree } & 1 & 672.10 \ \text { Age } & 1 & 363.09 \ \text { Salary } & 1 & 17.90 \end{array}$
-Using the results above,what is the number of observations in the sample?
A)6
B)17
C)36
D)32
E)58

Question

A researcher in human resources has expressed concern about the differences in job satisfaction results across units within an organization. The researcher conducts a study to investigate what factors could account for the differences. The researcher looked at a random sample of units across the organization and used the factors of percentage of employees with a university degree, the average age of the employees, and the average salary of employees within a unit. The results of the study are presented below:
$\begin{array} { l c l } \text { Predictor } & \text { Coef } & \text { SE Coef } \ \text { Constant } & 35.178 & 7.595 \ \text { Degree } & 0.22073 & 0.07131 \ \text { Age } & 0.3353 & 0.1901 \ \text { Salary } & 0.0930 & 0.1675 \end{array}$
$s = 7.62090$
Analysis of Variance
$\begin{array} { l c c } \text { Source } & \text { DF } & \text { SS } \ \text { Regression } & 3 & 1053.09 \ \text { Residual Error } & 32 & 1858.50\\ \text { Source } & \text { DF } & \text { Seq SS } \ \text { Degree } & 1 & 672.10 \ \text { Age } & 1 & 363.09 \ \text { Salary } & 1 & 17.90 \end{array}$ 
-Using the results above,what is the number of observations in the sample?
A)6
B)17
C)36
D)32
E)58

Quizplus · Accepted Answer

The number of observations in the sample can be determined by adding the degrees of freedom (DF) for the regression and the residual error together. The regression DF is 3, and the residual error DF is 32, so the total number of observations is 3 + 32 = 35. However, since the options provided do not include 35, and considering the standard approach to calculating the total number of observations (N = DF regression + DF residual + 1), the correct total should be 36, indicating a possible oversight in the options or explanation. Therefore, based on the provided options and standard calculation method, the closest correct answer is 36.

A Researcher in Human Resources Has Expressed Concern About the Differences