Exam 10: Bivariate Measures of Association

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If work ethic and salary are strongly negatively correlated, then those with lower work ethic tend to be paid more.

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If the number of children and number of pets are strongly positively correlated, then those with more pets tend to have fewer children.

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The variance of X is 16, the variance of Y is 25, and the covariance between X and Y is 4. What is rXY?

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The variance of X is 81, the variance of Y is 100, and the covariance between X and Y is 64. What is rXY?

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If rXY = .70 for a random sample of size 20, test the hypothesis that the population Pearson is significantly different from 0 (conduct a two-tailed test at the .05 level of significance).

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Which of the following correlation coefficients indicates the strongest relationship?

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Which of the following correlation coefficients indicates the weakest relationship?

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You are given the following pairs of sample scores on X and Y. Determine the Pearson correlation coefficient. X 8 4 6 9 1 Y 7 6 8 6 5

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Aladdin wants to know if the same proportion of master's and bachelor's degree recipients accepts jobs either in or out-of-state. He randomly samples 250 individuals who graduated in spring 2008 with their master's or bachelor's and collects data on the following: 1) degree attained (two categories: master's or bachelor's) and 2) place of employment (two categories: in-state or out-of-state). Which statistical procedure is most appropriate to use to test the hypothesis?

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Which of the following correlation coefficients indicates the weakest relationship?

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The variance of X is 4, the variance of Y is 16, and the covariance between X and Y is 36. What is rXY?

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You are given the following pairs of sample scores on X and Y. Determine the Pearson correlation coefficient using SPSS. X 20 30 25 40 50 Y 400 300 250 500 100

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For variables X and Y, given a correlation coefficient of -.80, which one of the following is a correct statement?

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If rXY = .50 for a random sample of size 10, test the hypothesis that the population Pearson is significantly different from 0 (conduct a two-tailed test at the .01 level of significance).

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Aladdin wants to know if there is a relationship between the type of entrance exam completed and the graduate degree program that the student enters. He collects data from a random sample of 500 incoming UCF graduate students on the following: 1) type of graduate entrance exam completed (GRE, GMAT, MAT, other); and 2) graduate degree program the student is entering (master's, Ed.S., Ed.D., Ph.D.). Which statistical procedure is most appropriate to use to test the hypothesis?

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The variance of X is 25, the variance of Y is 64, and the covariance between X and Y is 81. What is rXY?

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If the number of children and household income are strongly positively correlated, then those with more income tend to have more children.

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If rXY = .40 for a random sample of size 122, test the hypothesis that the population Pearson is significantly different from 0 (conduct a two-tailed test at the .01 level of significance).

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Wesley is interested in seeing if there is a relationship between voter registration status (registered voter or not) and whether or not the individual believes the incumbent will win. He collects data from 2,000 voters and collects data on the following two variables: a) voter registration status (two categories: registered or not registered); and b) belief of whether or not the incumbent will win (two categories: incumbent will win or incumbent will not win). Which statistical procedure is most appropriate to use to test the hypothesis?

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A civil engineer wants to know if there is a relationship between the number of stoplights in a city and the number of wrecks during a six week period. He randomly samples 100 cities across the U.S. and gathers data on: 1) the number of stoplights in the city (ratio measurement scale) and 2) number of wrecks in that city during the past six weeks (ratio measurement scale). Which statistical procedure is most appropriate to use to test the hypothesis?

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