The equation of the least squares regression line is: Average Complaints = 0.825 + 14.376 × Rating Predicted Complaints = 14.376 +0.755 × Rating Predicted Rating = 14.376 +0.755 × Complaints Predicted Rating = 0.755 +14.376 × Complaints Average Rating = 14.376 + 0.825 × Complaints

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
ComplaintsThe percentage of favourable
responses (in each
Source: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section
3.7, p.68ff of 2nd ed. (1991).)
Rating
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.
80
70-
60
The percentage of favourable
responses (in each department)
to the overall running of the
company.
50
40
department) to how the company
handles employee complaints
Model
1
40
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 ComplaintsThe percentage of favourable responses (in each Source: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section 3.7, p.68ff of 2nd ed. (1991).) Rating 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. 80 70- 60 The percentage of favourable responses (in each department) to the overall running of the company. 50 40 department) to how the company handles employee complaints Model 1 40 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
23. The equation of the least squares regression line is:
O Average Complaints = 0.825 + 14.376 × Rating
Predicted Complaints = 14.376 +0.755 × Rating
Predicted Rating = 14.376 +0.755 x Complaints
Predicted Rating = 0.755 +14.376 x Complaints
Average Rating = 14.376 + 0.825 × Complaints
Transcribed Image Text:23. The equation of the least squares regression line is: O Average Complaints = 0.825 + 14.376 × Rating Predicted Complaints = 14.376 +0.755 × Rating Predicted Rating = 14.376 +0.755 x Complaints Predicted Rating = 0.755 +14.376 x Complaints Average Rating = 14.376 + 0.825 × Complaints
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