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Exercise 28: Calculating Pearson Product-Moment Correlation Coefficient

Questions to Be Graded

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Date: 31-07-2020

Answer the following questions with hand calculations using the data presented in Table 28-3 or the SPSS data set called “Exercise 28 Example 2.sav” available on the Evolve website.

1: If you have access to SPSS, compute the Shapiro-Wilk test of normality for the variables visitor frequency and length of stay (as demonstrated in Exercise 26). If you do not have access to SPSS, plot the frequency distributions by hand. What do the results indicate?

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2: What is the null hypothesis in the example?

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3: What is the Pearson r between visitor frequency and length of stay?

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4: Is the r significant at α = 0.05? Provide a rationale for your answer.

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5: If using SPSS, what is the exact likelihood of obtaining an r value at least as extreme or as close to the one that was actually observed, assuming that the null hypothesis is true?

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6: How would you characterize the magnitude of the effect between length of stay and visitor frequency? Provide a rationale for your answer.

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7: What was the research design of this example?

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8: Write your interpretation of the results, as you would in an APA-formatted journal.

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9: How much variance in visitor frequency is explained by knowing the resident’s length of stay and vice versa? Discuss the clinical importance of this value.

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10: Can the researchers make a statement regarding the extent to which length of stay caused the frequency of visitors in residential care? Provide a rationale for your answer.

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  1. s_name: Amanda
  2. sclass: Stats