Exam 5: Pearson Correlation and Regression: Descriptive Aspects

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Pearson correlation and regression can be used to determine the extent to which a data set approximates a ____________________ relationship.

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The magnitude of the correlation coefficient is indexed by its:

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A sum of squares indicates the extent to which two sets of scores vary from one another,or covary.

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The regression equation for predicting X from Y is not the same as the regression equation for predicting Y from X.

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The regression equation for predicting X from Y is the same as the regression equation for predicting Y from X.

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The slope of a line indicates the number of units variable Y is predicted to change given a one unit change in X.

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The extent of _____ between two variables is indexed by a statistic known as the Pearson correlation coefficient.

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The Pearson correlation may be used to determine the _____.

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Suppose you were interested in conducting a study examining how ratings of similarity between oneself and another person were related to how attracted one is to the other person.You conduct this study by giving participants a description of a person named "Sarah." Participants are asked to read the description and then rate on a scale from 1 to 10 how similar Sarah is to themselves.You also ask each participant to rate on a scale from 1 to 20 how likeable they think Sarah is. X = rating of similarity of target to oneself Y = rating of likability of the target ("Sarah") 62 people participate in your study,and you obtain the following data: Suppose you were interested in conducting a study examining how ratings of similarity between oneself and another person were related to how attracted one is to the other person.You conduct this study by giving participants a description of a person named Sarah. Participants are asked to read the description and then rate on a scale from 1 to 10 how similar Sarah is to themselves.You also ask each participant to rate on a scale from 1 to 20 how likeable they think Sarah is. X = rating of similarity of target to oneself Y = rating of likability of the target (Sarah) 62 people participate in your study,and you obtain the following data:    = 6.00 SCP = 66    = 10.00 SS<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the Pearson correlation coefficient for the above data. = 6.00 SCP = 66 Suppose you were interested in conducting a study examining how ratings of similarity between oneself and another person were related to how attracted one is to the other person.You conduct this study by giving participants a description of a person named Sarah. Participants are asked to read the description and then rate on a scale from 1 to 10 how similar Sarah is to themselves.You also ask each participant to rate on a scale from 1 to 20 how likeable they think Sarah is. X = rating of similarity of target to oneself Y = rating of likability of the target (Sarah) 62 people participate in your study,and you obtain the following data:    = 6.00 SCP = 66    = 10.00 SS<sub>X</sub> = 40 SS<sub>Y</sub> = 136 Calculate the Pearson correlation coefficient for the above data. = 10.00 SSX = 40 SSY = 136 Calculate the Pearson correlation coefficient for the above data.

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Which correlation coefficient most closely represents the relationship depicted in the scatterplot below? Which correlation coefficient most closely represents the relationship depicted in the scatterplot below?

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The point at which a line intersects the Y axis when X = 0 is called the _____.

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Pearson correlation is an appropriate statistic for a nonlinear relationship.

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Correlations for the types of variables typically studied by behavioral scientists will seldom exceed -.40 or +.40 and will often be considerably smaller.

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Correlation and regression are appropriate for both linear and nonlinear relationships.

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When two variables,X and Y,are correlated,it is possible that:

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In the case of a _____ relationship,as scores on X increase,scores on Y also increase.

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When there is no linear relationship,the z scores on X will ______.

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What is the least squares criterion?

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Refer to the following data set. Refer to the following data set.   What is the sum of cross-products? What is the sum of cross-products?

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When two variables,X and Y,are correlated,three possible reasons for their correlation are that (1)X might cause Y, (2)Y might cause X,or (3)some additional variable(s)might cause both X and Y.

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