In: Statistics and Probability
A study examines whether there is a relationship between how long a nurse has worked at a large urban hospital and her or his job satisfaction. Job satisfaction scores were on a scale with a range from 25-50. Using the data and all of the information provided in the table below to...
(a) Calculate Pearson’s r correlation.
(b) Interpret the statistic, including two parts to your interpretation.
(c) Calculate a ‘coefficient of determination’ (r2) and interpret it.
| 
 Participant ID  | 
 X=Years at hospital  | 
 Y =Job satisfaction  | 
 Zx  | 
 Zy  | 
| 
 101  | 
 10  | 
 40  | 
 +0.58  | 
 +0.83  | 
| 
 102  | 
 6  | 
 29  | 
 -1.19  | 
 -1.00  | 
| 
 103  | 
 14  | 
 45  | 
 +2.35  | 
 +1.67  | 
| 
 104  | 
 8  | 
 30  | 
 -0.31  | 
 -0.83  | 
| 
 105  | 
 10  | 
 32  | 
 +O.58  | 
 -0.50  | 
| 
 106  | 
 8  | 
 38  | 
 -0.31  | 
 +0.50  | 
| 
 107  | 
 7  | 
 32  | 
||
| 
 108  | 
 8  | 
 35  | 
||
| 
 109  | 
 9  | 
 42  | 
||
| 
 110  | 
 7  | 
 27  | 
||
| 
 Years at job MEAN  | 
 8.70  | 
|||
| 
 Years at job STD.DEV.  | 
 2.26  | 
|||
| 
 Job sat. MEAN  | 
 35.0  | 
|||
| 
 Job sat. STD.DEV.  | 
 6.0  |