QUESTION 11
A Director of Human Resources is exploring employee absenteeism at a Hospital. A multiple linear regression analysis was performed using the following variables. The results are presented below.
Variable | Description |
Y | number of days absent last fiscal year |
x1 | commuting distance (in miles) |
x2 | employee's age (in years) |
x3 | length of employment at PPP (in years) |
Coefficients | Standard Error | t Statistic | p-value | |
Intercept | 6.594146 | 3.273005 | 2.014707 | 0.047671 |
x1 | -0.18019 | 0.141949 | -1.26939 | 0.208391 |
x2 | 0.268156 | 0.260643 | 1.028828 | 0.307005 |
x3 | -2.31068 | 0.962056 | -2.40182 | 0.018896 |
R=0.498191 | R2=0.248194 | Adj R2=0.192089 |
se = 3.553858 | n = 73 |
Which of the following interpretations is correct?
a. |
For every additional year in the employee's age, the average number of absent days in the last year significantly (p-value<0.05) increases by 0.27 days. |
|
b. |
For every additional year in employee’s length of employment, the average number of absent days in the last year significantly (p-value<0.05) decreases by 0.51 days. |
|
c. |
None of the above is correct. |
a)
a. |
For every additional year in the employee's age, the average number of absent days in the last year significantly (p-value<0.05) increases by 0.27 days. FALSE (because p value = 0.307 >0.05 ) |
. |
b) For every additional year in employee’s length of employment, the average number of absent days in the last year significantly (p-value<0.05) decreases by 0.51 days. FALSE (because its coefficient is 2.31 not 0.51 ) |
answer: None of the above is correct.
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