Exam 15: Correlation

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If the value of the Pearson correlation is r = +1.00 or -1.00, then all data points in a scatter plot fit perfectly on a straight line.

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The phi-coefficient is used to measure relationships for data that would also be appropriate for an independent-measures t test.

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For a sample of n = 16 individuals, how large a Pearson correlation is necessary to be statistically significant for a two-tailed test with α=.05\alpha=.05 ?

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Suppose that there is a correlation of r = 0.41 between the amount of time that each student reports studying for an exam and the student's grade on the exam.This correlation would mean that there is a tendency for people who study more to get better grades.

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A researcher records the odometer reading and price for a group of used Hondas.What kind of correlation is likely to be obtained for these two variables?

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A researcher measures IQ and weight for a group of college students.What kind of correlation is likely to be obtained for these two variables?

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What correlation is obtained when the Pearson correlation is computed for data that have been converted to ranks?

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A researcher measures driving distance from college and weekly cost of gas for a group of commuting college students.What kind of correlation is likely to be obtained for these two variables?

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A set of n = 5 pairs of X and Y scores has ΣX = 15, ΣY = 5, and ΣXY = 10.For these data, the value of SP is

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Suppose the correlation between height and weight for adults is +0.40.What proportion (or percent) of the variability in weight can be explained by the relationship with height?

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