### SOCI 332 Week 7 Exercises

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A+ TUTORIAL FOR THE FOLLOWING EXERCISES

WEEK 7 EXERCISES (you are almost there!)

Enter your answers in the spaces provided. Save the file using your last name as the beginning of the file name (e.g., ruf_week7_exercises) and submit via Assignments. When appropriate, show your work.

1.Given the following information, use Table B.4 in Appendix B in your text to determine whether the correlations are significant and how you would interpret the results.

a.The correlation between speed and strength for 20 women is .567. Test these results at the .01 level using a one-tailed test.

b.The correlation between the number correct on a math test and the time it takes to complete the test is -.45. Test whether this correlation is significant for 80 children at the .05 level of significance. Choose either a one-or two-tailed test and justify your choice.

c.The correlation between number of friends and grade point average (GPA) for 50 adolescents is .37. Is this significant at the .05 level for a two-tailed test?

2.A study was completed that examined the relationship between coffee consumption and level of stress for a group of 50 undergraduates. The correlation was .373, and it was a two-tailed test, done at the .01 level of significance. First, is the correlation significant? Second, whats wrong with the following statement? As a result of the data collected in this study and our rigorous analyses, we have concluded that if you drink less coffee, you will experience less stress.

3.Use the following set of data to answer the following questions.

a.Compute the correlation between age in months and number of words known.

b.Test for the significance of the correlation at the .05 level of significance.

c.Go way back and recall what you learned in chapter 5 about correlation coefficients and interpret this correlation.

Age in MonthsNumber of Words Known

126

158

94

75

1814

2418

157

166

2112

1517

4.Monica is interested in predicting how many 75-year-olds will develop Alzheimers disease and is using as predictors level of education and general physical health graded on a scale from 1 to 10. But she is interested in using other predictor variables as well. Answer the following questions.

a.What criteria should she use in the selection of other predictors? Why?

b.Name two other predictors that you think might be related to the development of Alzheimers disease.

c.With the four predictor variables (level of education and general physical health, and the two new ones that you name), draw out what the model of the regression equation would look like. (Do your best to draw on Word or describe it in detail).

5.Peter was curious to know if the average number of games won in a year predicts Super Bowl performance (win or lose). The X variable was the average number of games won during the past 10 seasons. The Y variable was whether the team ever won the Super Bowl during the past 10 seasons. Here are the data:

TeamAverage Number of Wins Over 10 YearsBowl? (1 = yes and 0 = no)

Savannah Sharks121

Pittsburgh Pelicans110

Williamstown Warriors150

Bennington Bruisers121

Atlanta Angels131

Trenton Terrors160

Virginia Vipers151

Charleston Crooners90

Harrisburg Heathens80

Eaton Energizers121

a.How would you assess the usefulness of the average number of wins as a predictor of whether a team ever won a Super Bowl?

b.Whats the advantage of being able to use a categorical variable (such as 1 or 0) as a dependent variable?

c.What other variables might you use to predict the dependent variable, and why would you choose them?

6.Now for multiple predictor variables. Take a look at the data below with the outcome being a great chef. We suspect that variables such as number of years of experience cooking, level of formal culinary education, and number of different positions (sous chef, pasta station, etc.) all contribute to rankings or scores on the Great Chef Test.

Years of ExperienceLevel of Education# of PositionsScore on Great Chef Test

51588

62478

123956

213888

72597

91890

132879

162985

212960

111489

152788

153776

13378

172698

262891

112688

183790

3131298

2721688

a.Which are the best predictors of the Chefs score?

b.What can you expect for a score from a person with 12 years of experience and a Level 2 education, and who has held five positions?

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