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...


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

Extracted 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.
Jun 10, 2022
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