2. Mrs. Forger is determining the relationship between a worker's salary and absentee rate. She divided the salary range into twelve grades or level (1 being the lowest grade, 12 being the highest) and then randomly sampled a group of workers. She determined the salary grade for each worker and the number of days that employee had missed over the last 3 years. Worker Absences XY X² 1 2 3 4 5 6 7 8 9 10 11 Summation Salary Level 3 11 8 7 2 9 8 10 8 5 4 35 14 20 32 39 20 26 17 29 36 38 Mean a. Draw and interpret the scatter plot. b. Compute and interpret the value of the Pearson's correlation coefficient. c. Test whether the correlation is significant at 5% level of significance. d. What is the expected absentee rate of worker whose salary level is 1? 6? y²

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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2. Mrs. Forger is determining the relationship between a worker’s salary and absentee rate. She divided the salary range into twelve grades or level (1 being the lowest grade, 12 being the highest) and then randomly sampled a group of workers. She determined the salary grade for each worker and the number of days that employee had missed over the last 3 years. a.Draw and interpret the scatter plot. b.Compute and interpret the value of the Pearson’s correlation coefficient. c.Test whether the correlation is significant at 5% level of significance. d.What is the expected absentee rate of worker whose salary level is 1? 6?
2. Mrs. Forger is determining the relationship between a worker's salary and absentee rate. She
divided the salary range into twelve grades or level (1 being the lowest grade, 12 being the
highest) and then randomly sampled a group of workers. She determined the salary grade for
each worker and the number of days that employee had missed over the last 3 years.
Worker
Absences
XY
X²
1
2
3
4
5
6
7
8
9
10
11
Summation
Salary
Level
3
11
8
7
2
9
8
10
8
5
4
35
14
20
32
39
20
26
17
29
36
38
Mean
a. Draw and interpret the scatter plot.
b. Compute and interpret the value of the Pearson's correlation coefficient.
c. Test whether the correlation is significant at 5% level of significance.
d. What is the expected absentee rate of worker whose salary level is 1? 6?
y²
Transcribed Image Text:2. Mrs. Forger is determining the relationship between a worker's salary and absentee rate. She divided the salary range into twelve grades or level (1 being the lowest grade, 12 being the highest) and then randomly sampled a group of workers. She determined the salary grade for each worker and the number of days that employee had missed over the last 3 years. Worker Absences XY X² 1 2 3 4 5 6 7 8 9 10 11 Summation Salary Level 3 11 8 7 2 9 8 10 8 5 4 35 14 20 32 39 20 26 17 29 36 38 Mean a. Draw and interpret the scatter plot. b. Compute and interpret the value of the Pearson's correlation coefficient. c. Test whether the correlation is significant at 5% level of significance. d. What is the expected absentee rate of worker whose salary level is 1? 6? y²
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