Exam 15: Correlation

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How large a sample is needed for a correlation of r = 0.550 to be significant using a two-tailed test with α = .05?

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A

For a group of graduating college seniors, a researcher records each student's rank in his/her high school graduating class and the student's rank in the college graduating class.Which correlation should be used to measure the relationship between these two variables?

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B

For a two-tailed hypothesis test evaluating the significance of a correlation, the null hypothesis states that the sample correlation is zero.

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False

For which of the following Pearson correlations would the data points be clustered most closely around a straight line?

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A researcher obtains SSX = 20, SSY = 5, and SP = 7 for a set of n = 25 pairs of scores.The Pearson correlation for these scores is r = 7/10 = 0.70.

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If the data points in a scatter plot show a nearly circular pattern, then the correlation is near zero.

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Assuming that other factors are constant, a correlation of r = -0.95 will result in more accurate predictions than a correlation of r = +0.70.

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In a test for significance of a Pearson correlation for a sample of n = 30 individuals, you determine the critical value by using df = 29.

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Which correlation should be used to measure the relationship between gender and grade point average for a group of college students?

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The Spearman correlation is used to measure the relationship when both variables have been measured on an ordinal scale (both are ranks).

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What would the scatterplot show for data that produce a Pearson correlation of r = +.88?

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The value for a correlation can never be greater than +1.00.

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A researcher classifies people by gender and by whether or not they routinely watch the evening news on television.For the resulting data, the correct method for measuring the relationship between the two variables would be the phi-coefficient.

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The Pearson and the Spearman correlations are both computed for the same set of data.If the Spearman correlation is rS = +1.00, then what can you conclude about the Pearson correlation?

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For a two-tailed hypothesis test evaluating a Pearson correlation, what is stated by the null hypothesis?

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A set of n = 15 pairs of scores (X and Y values) has SSX = 4, SSY = 25, and SP = 6.The Pearson correlation for these data is

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What is indicated by a Pearson correlation of r = +1.00 between X and Y?

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The value for the sum of products (SP) is always greater than or equal to zero.

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What is indicated by a positive value for a correlation?

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A researcher obtains a Pearson correlation of r = 0.43 for a sample of n = 20 participants.For a two-tailed test, which of the following accurately describes the significance of the correlation?

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