Referring to Figure 1, which one of the following statements is false? There is a moderate to strong positive association between Rating and Complaints. A decrease in Complaints is associated with, on average, a decrease in Rating. The department with the largest Complaints percentage also has the largest Rating percentage. Two departments have a Complaints percentage below 50%. The majority of departments have a Rating above 50%.

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22. Referring to Figure 1, which one of the following statements is false?
There is a moderate to strong positive association between Rating and Complaints.
ⒸA decrease in Complaints is associated with, on average, a decrease in Rating.
The department with the largest Complaints percentage also has the largest Rating percentage.
OTwo departments have a Complaints percentage below 50%.
The majority of departments have a Rating above 50%.
Transcribed Image Text:22. Referring to Figure 1, which one of the following statements is false? There is a moderate to strong positive association between Rating and Complaints. ⒸA decrease in Complaints is associated with, on average, a decrease in Rating. The department with the largest Complaints percentage also has the largest Rating percentage. OTwo departments have a Complaints percentage below 50%. The majority of departments have a Rating above 50%.
A survey of employees at a large financial organisation was conducted to determine the overall sentiment
towards various aspects of how the company operates. 30 randomly selected departments in the
organisation participated in the study. Every employee in these 30 randomly selected departments filled
in a questionnaire, and the data were aggregated to calculate the following two variables of interest:
Rating The percentage of favourable
responses (in each department)
to the overall running of the
company.
ComplaintsThe percentage of favourable
responses (in each
department) to how the company
handles employee complaints
Source: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section
3.7, p.68ff of 2nd ed. (1991).)
A simple linear regression was conducted. A scatter plot of Rating versus Complaints is shown in
Figure 1 and the results of the regression analysis are shown in Table 1.
Rating
80
70
60
50
40
40
Model
1
Figure 1: Rating versus Complaints.
50
(Constant)
Complaints
a. Dependent Variable: Rating
Table 1: Regression output.
Unstandardized Coefficients
B
Std. Error
14.376
.755
Rating versus Complaints
6.620
098
60
Complaints.
Coefficients
Standardized
Coefficients
Beta
.825
70
t
2.172
7.737
Sig.
.039
.000
●
80
90
95.0% Confidence Interval for B
Lower Bound Upper Bound
27.937
.954
.816
.555
Transcribed Image Text:A survey of employees at a large financial organisation was conducted to determine the overall sentiment towards various aspects of how the company operates. 30 randomly selected departments in the organisation participated in the study. Every employee in these 30 randomly selected departments filled in a questionnaire, and the data were aggregated to calculate the following two variables of interest: Rating The percentage of favourable responses (in each department) to the overall running of the company. ComplaintsThe percentage of favourable responses (in each department) to how the company handles employee complaints Source: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section 3.7, p.68ff of 2nd ed. (1991).) A simple linear regression was conducted. A scatter plot of Rating versus Complaints is shown in Figure 1 and the results of the regression analysis are shown in Table 1. Rating 80 70 60 50 40 40 Model 1 Figure 1: Rating versus Complaints. 50 (Constant) Complaints a. Dependent Variable: Rating Table 1: Regression output. Unstandardized Coefficients B Std. Error 14.376 .755 Rating versus Complaints 6.620 098 60 Complaints. Coefficients Standardized Coefficients Beta .825 70 t 2.172 7.737 Sig. .039 .000 ● 80 90 95.0% Confidence Interval for B Lower Bound Upper Bound 27.937 .954 .816 .555
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