Statistics

Complete questions 5, 10, 11, and 14 using SPSS. For each question, use copy or copy object and paste the relevant SPSS analysis.

5. For this problem, we have used the same \(X\) and \(Y\) values that appeared in Problem 4, but we have changed the $X, Y$ pairings:

1. Sketch a graph showing these reorganized data.
2. Estimate the Pearson correlation just by looking at your graph.
3. Compute the Pearson correlation. (Note: Much of the calculation for this problem was done already in Problem 4.)

If you compare the results of Problem 4 and Problem 5, you will see that the correlation measures the relationship between \(X\) and \(Y\). These two problems use the same \(X\) and \(Y\) values, but they differ in the way \(X\) and \(Y\) are related.

(10.) It is well known that similarity in attitudes, beliefs, and interests plays an important role in interpersonal attraction (see Byrne, 1971 , for example). Thus, correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservatism. The following hypothetical data are scores for married couples.

Compute the Pearson correlation for these data, and determine whether or not there is a significant correlation between attitudes for husbands and wives. Set alpha at .05, two tails.

(11.) 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.

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?

(14.) A psychologist would like to determine whether there is any consistent relationship between intelligence and creativity. A random sample of \(n=18\) people is

obtained, and the psychologist administers a standardized IQ test and a creativity test to each individual.

Using these data, the psychologist obtains a Pearson correlation of \(r=+0.20\) between IQ and creativity.

1. Do the sample data provide sufficient evidence to conclude that a real (nonzero) correlation exists in the population? Test at the .05 level of significance.
2. If the same correlation, \(r=0.20\), was obtained for a sample of \(n=102\) people, what decision would be made about the population correlation?

SPSS Assignment 1

• Enter the data for Chapter 15, question 7 into SPSS.
  7. To measure the relationship between anxiety level and test performance, a psychologist obtains a sample of $n=6$ college students from an introductory statistics course. The students are asked to come to the laboratory 15 minutes before the final exam. In the lab, the psychologist records physiological measures of anxiety (heart rate, skin resistance, blood pressure, etc.) for each participant. In addition, the psychologist obtains the exam score for each participant. Compute the Pearson correlation for the following data:
  
• State the null and alternative hypotheses.
• Conduct a correlation test (Pearson r) at the .05 level.
• In a short paragraph, discuss what the results of correlation test mean regarding the relationship between anxiety level and test performance.

Price: $17.71

Solution: The downloadable solution consists of 9 pages, 871 words and 5 charts.
Deliverable: Word Document