Question

1. You are a nursing researcher and you are interested in whether university grades are predictive of performance on the NCLEX exam. You randomly select a sample of 25 nurses from the Ontario registry and obtain each nurse’s score on the NCLEX examination. You also have access to their final grade in university. The complete data are shown in the table below. Use these data to answer the questions below the table. Assume a 0.05 level of significance.

Nurse	NCLEX Score	Final Grade (University)
1	440	87
2	480	87
3	535	87
4	460	88
5	525	88
6	480	89
7	510	89
8	530	89
9	545	89
10	600	89
11	495	90
12	545	90
13	575	90
14	525	91
15	575	91
16	600	91
17	490	92
18	510	92
19	575	92
20	540	93
21	595	93
22	525	94
23	545	94
24	600	94
25	625	94

1. Use SPSS to obtain the predictive equation. Provide the equation and the supporting SPSS output. [1 Mark]

2. Use an appropriate statistic provided by the SPSS output to describe the utility (goodness) of the regression equation for predicting NCLEX scores. [1 Mark]

3. What is the predicted NCLEX score for a final grade = 75? [1 Mark]

4. What is the unexplained variation in NCLEX scores for your regression model? Show your calculation. [1 Mark]

Answer 1

(a) The SPSS output is:

The equation is:

NCLEX Score= -473.566 + 11.164Final Grade

(b) 29.4% of the variability in NCLEX Score is explained by Final Grade.

(c) NCLEX Score= -473.566 + 11.164*75 = 363.734

(d) 1 - 0.094 = 0.706 = 70.6%

70.6%  is the unexplained variation in NCLEX scores for your regression model.