Question

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.

  

Distance in Miles, Number of days absent

1, 8

3, 5

4, 8

6, 7

8 ,6

10, 3

12, 5

14, 2

14, 4

18, 2

If required, enter negative values as negative numbers.

b. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent (to 4 decimals).
y=____+____ x

c. Predict the number of days absent for an employee that lives 5 miles from the hospital (round to nearest whole number).
days

Answer 1

solution:

we solve this problem using the mintab statistical software as below

now

a. Select a scatter diagram for these data.

b. Develop the least squares estimated regression equation that relates the distance to work to the number of days absent

ans:

ŷ = -0.3442X + 8.0978

c. Predict the number of days absent for an employee that lives 5 miles from the hospital

now we put x = 5 in regression equation

we get

ŷ = -0.3442X + 8.0978

ŷ = ( -0.3442 * 5 ) + 8.0978

therefore

ŷ = 6.3768

therefore

ŷ = 6

Hnece

6 days absent for an employee that lives 5 miles from the hospital

Thank You..!!

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