b. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent (to 4 decimals). + days I c. Predict the number of days absent for an employee that lives 5 miles from the hospital (to nearest whole number).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A large city hospital conducted a study to investigate the relationship between the number of unauthorized days that employees are absent per year and the
distance (miles) between home and work for the employees. A sample of 10 employees was selected and the following data were collected.
Excel file: data14-13.xlsx
If required, enter negative values as negative numbers.
a. Select the correct scatter diagram for these data.
A.
10+
8
6
4
Number of Days Absent
2
8
Distance to Work
(miles)
1
3
4
6
8
10
12
14
14
18
10
12
14
Distance to Work (miles)
16
Number of Days
Absent
8
5
8
7
6
3
5
2
4
2
18
20
Transcribed Image Text:A large city hospital conducted a study to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was selected and the following data were collected. Excel file: data14-13.xlsx If required, enter negative values as negative numbers. a. Select the correct scatter diagram for these data. A. 10+ 8 6 4 Number of Days Absent 2 8 Distance to Work (miles) 1 3 4 6 8 10 12 14 14 18 10 12 14 Distance to Work (miles) 16 Number of Days Absent 8 5 8 7 6 3 5 2 4 2 18 20
2-
10+
8+
6
4
2-
2
2
Number of Days Absent
4
6
days
Graph A
Does a linear relationship appear reasonable?
+
8
8
I
10
12
14
Distance to Work (miles)
10
12
14
Distance to Work (miles)
16
16
18
18
Yes, a negative one
b. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent (to 4 decimals).
20
ŷ =
c. Predict the number of days absent for an employee that lives 5 miles from the hospital (to nearest whole number).
20
Transcribed Image Text:2- 10+ 8+ 6 4 2- 2 2 Number of Days Absent 4 6 days Graph A Does a linear relationship appear reasonable? + 8 8 I 10 12 14 Distance to Work (miles) 10 12 14 Distance to Work (miles) 16 16 18 18 Yes, a negative one b. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent (to 4 decimals). 20 ŷ = c. Predict the number of days absent for an employee that lives 5 miles from the hospital (to nearest whole number). 20
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