A survey of employees at a large financial organisation was conducted to determine the overall sentimenttowards various aspects of how the company operates. 30 randomly selected departments in theorganisation participated in the study. Every employee in these 30 randomly selected departments filledin a questionnaire, and the data were aggregated to calculate the following two variables of interest:RatingComplaintsThe percentage of favourableresponses (in eachSource: Chatterjee, S. and Price, B. (1977) Regression Analysis by Example. New York: Wiley. (Section3.7, p.68ff of 2nd ed. (1991).)RatingA simple linear regression was conducted. A scatter plot of Rating versus Complaints is shown inFigure 1 and the results of the regression analysis are shown in Table 1.8070-60The percentage of favourableresponses (in each department)to the overall running of thecompany.5040department) to how the companyhandles employee complaintsModel140Figure 1: Rating versus Complaints.50(Constant)Complaintsa. Dependent Variable: RatingTable 1: Regression output.Unstandardized CoefficientsBStd. Error14.376.755Rating versus Complaints6.620.09860ComplaintsCoefficientsStandardizedCoefficientsBeta.82570t2.1727.737Sig..039.000809095.0% Confidence Interval for BLower Bound Upper Bound27.937.954.816.555 23. The equation of the least squares regression line is:O Average Complaints = 0.825 + 14.376 × RatingPredicted Complaints = 14.376 +0.755 × RatingPredicted Rating = 14.376 +0.755 x ComplaintsPredicted Rating = 0.755 +14.376 x ComplaintsAverage Rating = 14.376 + 0.825 × Complaints

It is needed to obtain the least square regression line.

Answered: The equation of the least squares…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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