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# Homework 4 involves data collected from a survey study by Urban, Smith, Wilson, and Cipher XXXXXXXXXXUndergraduate nursing students were surveyed and administered several questionnaires. Two of these...

Homework 4 involves data collected from a survey study by U
an, Smith, Wilson, and Cipher XXXXXXXXXXUndergraduate nursing students were surveyed and administered several questionnaires.  Two of these were the Perceived Stress Scale (PSS) and the Brief Resilience Scale (BRS).
Scores on the PSS range from 0 to 40 with higher scores indicating increased (worse) stress levels. Scores on the BRS range from 1 to 7 with higher scores indicating greater (better) resilience levels.
The null hypothesis is “Perceived stress levels do not predict resilience among undergraduate nursing students.”
The data are presented in HW4.sav (note:  this is NOT the same dataset as HW3.sav!).  A simulated subset of 15 students was randomly selected for this example so that the computations would be small and manageable. In actuality, studies involving linear regression need to be adequately powered (Aberson, 2010; Cohen, 1988).
Open in SPSS. Use the dataset to answer the following questions.
1. Calculate the b value using the formula presented in Exercise 29. List the numerator and the denominator. See attached for starter calculations: HW4 Starter Calculations with Notes.xlsx Download HW4 Starter Calculations with Notes.xlsx
2. Calculate the a value using the formula presented in Exercise 29. List the numerator and the denominator.
3. Compute the linear regression with SPSS. Paste the table labeled “Coefficients” into your homework.
4. Note the R² value. How would you characterize the magnitude of the effect between stress and resilience? Refer to Table 24-1 for the size of the effect.  Provide a rationale for your answer.
5. Write your interpretation of the results, as you would in an APA-formatted journal.

Module 3 Homework 4
Homework 4 involves data collected from a survey study by U
an, Smith, Wilson, and Cipher XXXXXXXXXXUndergraduate nursing students were surveyed and administered several questionnaires.  Two of these were the Perceived Stress Scale (PSS) and the Brief Resilience Scale (BRS).
Scores on the PSS range from 0 to 40 with higher scores indicating increased (worse) stress levels. Scores on the BRS range from 1 to 7 with higher scores indicating greater (better) resilience levels.
The null hypothesis is “Perceived stress levels do not predict resilience among undergraduate nursing students.”
The data are presented in HW4.sav (note:  this is NOT the same dataset as HW3.sav!).  A simulated subset of 15 students was randomly selected for this example so that the computations would be small and manageable. In actuality, studies involving linear regression need to be adequately powered (Aberson, 2010; Cohen, 1988).
Open in SPSS. Use the dataset to answer the following questions.
1. Calculate the b value using the formula presented in Exercise 29. List the numerator and the denominator. See attached for starter calculations:
N=15            b= XXXXXXXXXX/11414 = XXXXXXXXXX
Ex=199
Ey=56.21
Ex2=3401
Exy=704.03
2. Calculate the a value using the formula presented in Exercise 29. List the numerator and the denominator.
a= XXXXXXXXXX/15= XXXXXXXXXX
3. Compute the linear regression with SPSS. Paste the table labeled “Coefficients” into your homework.
4.Note the R² value. How would you characterize the magnitude of the effect between stress and resilience? Refer to Table 24-1 for the size of the effect.  Provide a rationale for your answer.
The magnitude of the effect between stress and resilience is .368 which is considered a large effect according to the effect size tables in exercises 24 and 25.
5.Write your interpretation of the results, as you would in an APA-formatted journal.
Simple linear regression was performed with the effect between perceived stress levels as the predictor and
ief resilience as the dependent variable. The students perceived stress levels significantly predicted resilience among graduate nursing students. B= -.607, p=.016, R2= 36.8%. Higher levels of perceived stress significantly predicted less resilience.

## Solution

Suraj answered on Jan 27 2022
The null hypothesis is “Perceived stress levels do not predict resilience among undergraduate nursing students.”
In statistical way the hypotheses are given as follows:
1).
Calculate the b value using the formula presented in Exercise 29. List the numerator and the denominator.
Here, we will calculate the slope of the regression equation.
From calculations we have,
Substitute the values in the formula,
Hence, b is -0.055.
2)
Calculate the a value using the formula presented in Exercise 29. List the...
SOLUTION.PDF