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 |