### What will be the predicted satisfaction score

Assignment Help Applied Statistics
##### Reference no: EM135088

In a regression analysis, a nurse researcher found a correlation of .82 between pain relief scores and satisfaction with nursing care.  She also calculated the following for her regression analysis:

Pain Relief (x):   Mean = 58           sd = 3.9

Satisfaction (y): Mean = 42           sd = 4.4

slope = 1.56

y intercept = - 3.53

Q1.  What will be the predicted satisfaction score (expressed as a point estimate) for a patient with a pain relief score of 62?

Y = bX + a

Y=1.56(62)+-3.53

=93.19

Q2.  What is the standard error of estimate when predicting satisfaction from knowledge of pain relief score?

Sy.x  =sdY  √ 1 - r2

=4.4+  1-.82^2==.3276 or .33

Q3.  What would be the interval estimate for satisfaction for the patient in problem 16?

Items 19-21:   A nurse researcher is investigating the effect of timing of standard pain control interventions on severity of pain in adolescents with sickle-cell disease.  She establishes three treatment protocols:  1) initiation of pain control immediately upon the presence of prodromal sign (an "aura" signaling the imminent onset of pain); 2) initiation of pain control one hour after the onset of pain; and 3) initiation of pain control only at the points where non-steroidal anti-inflammatories and guided imagery are no longer effective in keeping pain bearable.  She conducted a one-way ANOVA to analyze her data and the following table summarizes her findings:

Source  df            SS          MSS F   p

Among 2              75536.2                37768.1 5.159     <.05

Within   27                     197660.3     7320.8

Total      29          273196.5

On the basis of these data alone, she drew the following conclusions.  For each conclusion, indicate whether you feel the conclusion is justified or unjustified.

Q4.  Severity of pain is influenced by the timing of pain interventions in sickle-cell crises.

Q5 Immediate intervention is better than either slightly delayed intervention or initiation at crisis stage.

Q6.  She has more than 99% confidence in her conclusion that severity of pain is influenced by timing.

Items 22-23 relate to the following study results:

Study A                Study B

r = .64    r = .77

df = 18  df = 121

p<.05     p<.01

Q7.  In using the data from study A to make predictions, what percent of the time would you expect predictions to be exactly correct?

Q8.  Which study would have the smallest margin of error in predicting one variable from knowledge of the other?

Items 24 and 25 relate to the following SPSS output.  A researcher is interested in characteristics of HIV+ and HIV- adolescents interviewed 166 young adults about their experiences during adolescence.  He wished to know, among other things, if there were significant differences in the ages at which HIV+ and HIV- young adults became sexually active.  The following is the printout of this analysis:

HIV Status           N            Mean    sd           Stnd. Error

Age at   Positive               57           13.2        2.96576                .39282

first sexual

experience Negative      109         15.1        2.57286                .24644

Independent Samples Test

Levene's Test for

Equality of Variances

F              Sig

Age at   Equal variance assumed               1.313     .254

first sexual

experience         Equal variance not assumed

t-test for Equality of Means

t              df            sig.         mean difference

Age at   Equal variance assumed               -2.870    164         .005        -1.9

first sexual

experience         Equal variance not assumed        -2.745    99.66     .007        -1.9

Q9.  Were there significant differences between the groups.  Give the relevant stastical data to support your answer?

Q10.  What is the confidence interval associated with your answer to item # 24?

Each of the questions on the following pages is a calculation problem worth 10 points.  Partial credit will be awarded if I can following your procedures and determine that errors are arithmetic rather than conceptual.  It would be wise, therefore, to clearly indicate your worksteps on each problem.

Q11.  For the following data set, calculate the oneway ANOVA and test for significance at the .05 level.

Group 1                Group 2               Group 3               Group 4

x              x2           x             x2           x             x2           x             x2

7              49           10          100         12          144         16          256

8              64           12          144         14          196         15          225

7              49           13          169         13          169         18          324

9              81           13          169         11          121         17          289

9              81           14          196         13          169         20          400

11           121         15          225         15          225         21          441

10           100         14          196         13          169         22          484

61           545         91     1,199           91        1,193      129     2,419

Q12. Evaluate the χ2 for the following 3 X 2 table and test for significance at the .01 level.

Group 1                Group 2                Group 3

Positive

Outcome                9             12         8           29

Negative

Outcome               5              16           4         25

14             28           12       54

Q13. For the subsequent paired observations, determine the Pearson product-moment correlation coefficient and test for significance at the .01 level.

x                  x2       y              y2     xy

17           289        23          529        391

17           289        19          361        323

18           324        20          400        360

19           361        17          289        323

21           441        15          225        315

22           484        19          361   418

21           441        20          400        420

23           529        19          361        437

22           484        20          400        440

18           324        16          256        288

198       3,966      188         3,582    3,715

Q14.  For the following paired observations, calculate the Pearson product-moment correlation coefficient and test for significance at the .01 level.

x                 x2   y     y2         xy

17           289        23          529        391

17           289        19          361        323

18           324        20          400        360

19           361        17          289        323

21           441        15          225        315

22           484        19          361   418

21           441        20          400        420

23           529        19          361        437

22           484        20          400        440

18           324        16          256        288

198 3,966 188     3,582    3,715

Q15.  For the following data regarding paired rank orders for a sample, calculate the correlation coefficient and test for significance at the .05 level.

Subject #                 Rank 1                                         Rank 2

1                              2                                                   1

2                                      1                                         2.5

3                                      3                                         2.5

4                                      5                                           4

5                                      6                                           5

6                                      4                                           8

7                                      7                                           6

8                                     9                                            7

9                                      8                                         10

10                                  10                                         9

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