The personnel director of a large hospital is interested in determining the rela

Question

The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee2 3456 78 9 10 Age 30 50 40 55 30 2860 25 30 45 Sick Days 74 3 29 10 0852 The estimated regression line and the standard error are given. Sick Days = 14.310162-0.2369(Age) Se= 1.682207 Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22, Round your answer to two decimal places

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Sick Days
Independent Variable: Age
Sick Days = 14.310162 - 0.23689979 Age
Sample size: 10
R (correlation coefficient) = -0.88207327
R-sq = 0.77805325
Estimate of error standard deviation: 1.6822072

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

90% confidence interval of y for x = 22 is:

(5.52, 12.68)

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 14.310162 1.8367724 0 8 7.7909284 <0.0001 Slope -0.23689979 0.044734175 0 8 -5.295723 0.0007

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.