A clinic manager wishes to find out whether age of her employees has an impact on the number of sick days they take each year. The data for the sample are shown: Age 18 20 58 39 48 26 53 Day 16 9 2 10 8 12 7 The linear regression equation is given by: ŷ =−0.223X+17.48 and r2=0.699 b. Determine the slope. c. Determine |r| Interpret r : Determine critical r value at 5% significance level and determine if there is a significant linear correlation exists. Linear Correlation: Predict the number of sick days taken of an employee who is 35 years old.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A clinic manager wishes to find out whether age of her employees has an impact on the number of sick days they take each year. The data for the sample are shown:
Age 18 20 58 39 48 26 53
Day 16 9 2 10 8 12 7
The linear regression equation is given by:
ŷ =−0.223X+17.48 and r2=0.699
  • b. Determine the slope.
  • c. Determine |r|
  • Interpret r :
  • Determine critical r value at 5% significance level and determine if there is a significant linear correlation exists.
  • Linear Correlation:
  • Predict the number of sick days taken of an employee who is 35 years old.
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