Problem 4: For the following set of data,

____________

x y

1 0

2 2

4 6

5 8

3 4

1. Sketch a graph showing the location of the five X. Y points.
2. Just looking at your graph, estimate the value of the Pearson correlation.
3. Compute the Pearson correlation for this data set.

Problem 6: In the following data there are three scores ( x , y , z ) for each of the n = 5 individuals.

1. Sketch a graph showing the relationship between X and Y. Compute the Pearson correlation between X and Y.
2. Sketch a graph showing the relationship between Y and Z. Compute the Pearson correlation between Y and Z.
3. Given the results from (a) and (b) what would you predict for the correlation between X and Z
4. Sketch a graph showing the relationship between X and Z. Compute the Pearson correlation between X and Z.
5. What general statement can you make concerning relationship among correlations? If X is related to Y and Y is related to Z, does this necessarily mean that X is related to Z.
   Problem 7: Correlation studies are often used to help determine whether certain characteristics are controlled more by genetic influences or by environmental influences. These studies often examine adopted children and compare their behaviors with the behaviors of their birth parents and their adoptive parents. One study examined how much time individuals spend watching TV (Plomin, Corley, Defries, & Fulker, 1990). The following data are similar to the results obtained in the study.
   
   _____________________________________________________
   ______Amount of Time Spent Watching TV___________________
   Adopted Birth Adoptive
   Children Parents Parents____
   2 0 1
   3 3 4
   6 4 2
   1 1 0
   3 1 0
   0 2 3
   5 3 2
   2 1 3
   5 3 3_________
   1. Compute the correlation between the children and their birth parents.
   2. Compute the correlation between the children and their adoptive parents.
   3. Based on the two correlations, does TV watching appear to be inherited

from the birth parents or is it learned from the adoptive parents?

Problem 10: For each of the following determine whether the sample provides enough evidence to conclude that there is a significant nonzero correlation in the population. In each case use a two-tailed test with \(\alpha =0.05\)

(a) Sample of n = 18, with r = -0.50

(b) Sample of n = 15, with r = -0.50

(c) Sample of n = 30, with r = 0.375

(d) Sample of n = 25, with r = 0.375

SPSS Assignment

• Enter the data for Chapter 15, question 7 into SPSS.
• State the null and alternative hypotheses for both a and b of number 7.
• Conduct a correlation test (Pearson r) for both a and b of number 7 at the .05 level.
• Copy or copy object and paste relevant output from the statistical tests.
• State whether or not the null hypothesis is accepted or rejected based on the results of the statistical test. Use the conventions described by Gravetter and Wallnau on page 438 to present your report.
• In a short paragraph, discuss what the results of correlation test mean regarding the relationship between anxiety level and test performance

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