Part IV Practice Problems on Correlation and Regression
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Answer the following questions concerning the relationship between average sick days taken over the past 5 years by senior managers and their performance rating using the this data. Be sure to show all mathematics calculations.

Average Sick Days Taken 1995-1999

ID Number AA1   AB2    AC3    AD4 AE5

Sick days taken 4 8 3 7 1

Performance Rating 8 2 7 4 9

1. Draw a scatter diagram of this data and calculate the coefficient of correlation to determine if average sick days taken over the last 5 years has an affect on a senior manager's most recent performance rating.

2.   Calculate the coefficient of determination and the coefficient of nondetermination.

3.   Using complete sentences, interpret your answers to questions 1 and 2.

4.   Could rho be zero at the .01 level of significance? Franklin Pierce college students may skip this question.

5.   Using the method of least squares, determine the regression equation for this data and draw it on your graph.

6.   Calculate the expected performance rating for a senior manager who averaged 5 absences per year over the
      past 5 years.

Answers

1. -.952
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2. 90.6% and 9.4%

3. High negative, 90.7% of the variability in rating is accounted for by variability in absences and 9.3% of the variability in rating is not accounted for by variability in absences.

4. No

5. Y._x = 10.4 - .964x (Hint: when calculating b, you have a double negative so 4.43 is added to 6.)

6. 5.58

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Part IV Practice Problems on Correlation and Regression Return to Quick Notes Statistics Updated 3/27/18 Please link to, use to educate and
Answers Formula Reviews From Quick Notes Statistics may help with these problems. Answer the following questions concerning the relationship between average sick days taken over the past 5 years by senior managers and their performance rating using the this data. Be sure to show all mathematics calculations.
	Average Sick Days Taken 1995-1999
ID Number	AA1	AB2	AC3	AD4	AE5
Sick days taken	4	8	3	7	1
Performance Rating	8	2	7	4	9

1.	-.952	Please visit Our Sponsors. Our Statistics Tutors can help with difficult questions. Statistics Specialty Store Statistics Learning Center Our SPSS tutors can help with difficult assignments. Online Six Sigma Certification [Green Belt]will improve your resume. Please support this site by shopping at amazon.com and amazon.com for students.
2.	90.6% and 9.4%
3.	High negative, 90.7% of the variability in rating is accounted for by variability in absences and 9.3% of the variability in rating is not accounted for by variability in absences.
4.	No
5.	Y.`_x` = 10.4 - .964x (Hint: when calculating b, you have a double negative so 4.43 is added to 6.)
6.	5.58
Quick Statistics Using Microsoft (TM) Excel for the fastest and easiest way to do these and other statistical tests.