2. In order to see if its secretaries were being paid according to their abilities, a large company sampled 20 of its secretaries, obtaining an efficiency rating and monthly salary for each. The ratings, on a scale from 1.0 to 5.0, were obtained from the output from supervisors on various attributes. The results were as follows: Employee Mrs. Adams Ms. Bright Mrs. Collins Mrs. Dale Mrs. Evans Mrs. Fisher Mrs. Foster Mrs. Green Salary ($) Rating 3.9 3.6 3.1 4.9 790 740 750 820 720 3.1 700 2.4 4.9 790 770 3.6 A dream doesn't become reality over magic; it takes determination & hard work STBO31 TUTORIAL QUESTIONS 4 04 MARCH 2022 Mrs. Hill Mrs. Hustings Mrs. Irving Mrs. Jacobs Mrs. Knight Mrs. Lawley Ms. Moore Mrs. Owen Miss Paul Mrs. Prince Mrs. Williams Mrs. Wilson 800 720 770 780 700 730 850 690 720 720 4.4 2.2 4.4 4.8 2.3 2.5 3.6 2.5 3.0 2.3 3.2 730 750 4.0 a) Fit a simple linear regression equation to these data, using rating to predict salary and interpret the coefficients. b) At the 0.05 level of significance, construct and use the ANOVA Table to test whether there is an evidence of a linear relationship between the rating and the salaries? c) Construct and interpret a 99% confidence interval to see if Ms. Moore's salary represents an outlier observation.
2. In order to see if its secretaries were being paid according to their abilities, a large company sampled 20 of its secretaries, obtaining an efficiency rating and monthly salary for each. The ratings, on a scale from 1.0 to 5.0, were obtained from the output from supervisors on various attributes. The results were as follows: Employee Mrs. Adams Ms. Bright Mrs. Collins Mrs. Dale Mrs. Evans Mrs. Fisher Mrs. Foster Mrs. Green Salary ($) Rating 3.9 3.6 3.1 4.9 790 740 750 820 720 3.1 700 2.4 4.9 790 770 3.6 A dream doesn't become reality over magic; it takes determination & hard work STBO31 TUTORIAL QUESTIONS 4 04 MARCH 2022 Mrs. Hill Mrs. Hustings Mrs. Irving Mrs. Jacobs Mrs. Knight Mrs. Lawley Ms. Moore Mrs. Owen Miss Paul Mrs. Prince Mrs. Williams Mrs. Wilson 800 720 770 780 700 730 850 690 720 720 4.4 2.2 4.4 4.8 2.3 2.5 3.6 2.5 3.0 2.3 3.2 730 750 4.0 a) Fit a simple linear regression equation to these data, using rating to predict salary and interpret the coefficients. b) At the 0.05 level of significance, construct and use the ANOVA Table to test whether there is an evidence of a linear relationship between the rating and the salaries? c) Construct and interpret a 99% confidence interval to see if Ms. Moore's salary represents an outlier observation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:2.
In order to see if its secretaries were being paid according to their abilities, a
large company sampled 20 of its secretaries, obtaining an efficiency rating and
monthly salary for each. The ratings, on a scale from 1.0 to 5.0, were obtained
from the output from supervisors on various attributes. The results were as
follows:
Employee
Mrs. Adams
Ms. Bright
Mrs. Collins
Salary ($)
Rating
3.9
790
740
3.6
750
3.1
Mrs. Dale
820
4.9
Mrs. Evans
720
3.1
Mrs. Fisher
Mrs. Foster
Mrs. Green
700
2.4
790
|770
4.9
3.6
A dream doesn't become reality over magic; it takes determination & hard work
3
SSTB031
TUTORIAL QUESTIONS 4
04 MARCH 2022
Mrs. Hill
Mrs. Hustings
Mrs. Irving
Mrs. Jacobs
Mrs. Knight
Mrs. Lawley
Ms. Moore
Mrs. Owen
800
4.4
720
2.2
770
4.4
780
4.8
700
2.3
730
2.5
850
3.6
690
720
2.5
3.0
Miss Paul
Mrs. Prince
Mrs. Williams
Mrs. Wilson
720
2.3
|730
|750
3.2
4.0
a)
Fit a simple linear regression equation to these data, using rating to predict
salary and interpret the coefficients.
b)
At the 0.05 level of significance, construct and use the ANOVA Table to test
whether there is an evidence of a linear relationship between the rating and
the salaries?
c)
Construct and interpret a 99% confidence interval to see if Ms. Moore's salary
represents an outlier observation.
d)
Office gossip has it that Ms. Moore has been dating a senior executive of the
company. From examination of the plot of residuals below, does Ms. Moore's
salary appear to be out of line? Give reason for your answer.
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