Exam 6: Correlation

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Restricting the range of either X or Y will generally lower the correlation between the variables.

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Why is r 2 a useful statistic?

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A teacher was interested in knowing if leadership ability was correlated with attractiveness in third graders. The teacher ranked a group of students for leadership ability and had another teacher rank the same children on attractiveness. A teacher was interested in knowing if leadership ability was correlated with attractiveness in third graders. The teacher ranked a group of students for leadership ability and had another teacher rank the same children on attractiveness.

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The phone rings and the President is calling you. He says, "I hear you are studying correlation. Can you please tell me how much of the variability of my popularity rating is explained by the inflation rate?" He kindly supplies you with the following data: The phone rings and the President is calling you. He says, I hear you are studying correlation. Can you please tell me how much of the variability of my popularity rating is explained by the inflation rate? He kindly supplies you with the following data:   Please furnish the President with the information he desires. Please furnish the President with the information he desires.

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Pearson r can be properly used on which of the following type(s) of relationships?

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The farther away the points on a scatter diagram fall from the regression line, the lower the correlation.

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Given the following set of data for 8 subjects: Given the following set of data for 8 subjects:    Given the following set of data for 8 subjects:

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Which of the following is (are) not correlation coefficients?

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A traffic safety officer conducted an experiment to determine whether there is a correlation between people's ages and driving speeds. Six individuals were randomly sampled and the following data were collected. A traffic safety officer conducted an experiment to determine whether there is a correlation between people's ages and driving speeds. Six individuals were randomly sampled and the following data were collected.   The proportion of variability of Y accounted for by X is _________. The proportion of variability of Y accounted for by X is _________.

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What factors influence the choice of whether to use a particular correlation coefficient?

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Y can be most accurately predicted from X if the correlation between X and Y is _________.

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Define slope.

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Define direct relationship.

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If the relationship is imperfect, the value of the correlation coefficient must be negative.

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When a correlation exists, lowering the range of either of the variables will _________.

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Correlation implies causation.

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Which Pearson correlation coefficient shows the strongest relationship between two variables?

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Causation implies correlation.

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The correlation coefficient r is a descriptive statistic.

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In order to compute r , we must first convert each score to its z score and then do our calculations with the z scores.

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