Exam 9: Interpretive Aspects of Correlation and Regression

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The reason that regression on the mean does not result in all individuals being of average stature after several generations is that

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C

  measures variation of measures variation of

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If a regression equation reads: If a regression equation reads:   we know that we know that

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In one study, a correlation of +.45 was found between physical strength and ratings of popularity for a group of adolescent boys. What can be said about the degree to which differences in popularity can be "explained" by strength? Give your answer in terms of a percent. Percent of what? Be very precise and complete in your explanation.

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In a study concerned with the relationship between X and Y, it is found that 9% of the variance in Y is associated with X. This rXY must have been

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In general, an increase of .10 points in the correlation coefficient has

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In which situation does the phenomenon of regression on the mean not occur?

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Fifty percent of Y variance is associated with variation in X when r is approximately

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If If   this means that this means that

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What is meant by regression toward the mean? Give several examples.

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If a regression equation reads: If a regression equation reads:   we know that we know that

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The amount of regression on the mean is least when r is

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In a study, the correlation between height of parents and height of adult children was found to be +.61. The summary statistics for the group of children are: In a study, the correlation between height of parents and height of adult children was found to be +.61. The summary statistics for the group of children are:   in. and S<sub>X</sub> = 3.1 in.  (a) What percent of the children's height variance is associated with variation in parent height, and what percent is associated with other factors?  (b) Compute the amount of children's height variance associated with variation in parent height and the amount associated with other factors.  (c) In practice, which results would we normally be more interested in, those from (a) or those from (b) ? Why? in. and SX = 3.1 in.  (a) What percent of the children's height variance is associated with variation in parent height, and what percent is associated with other factors?  (b) Compute the amount of children's height variance associated with variation in parent height and the amount associated with other factors.  (c) In practice, which results would we normally be more interested in, those from (a) or those from (b) ? Why?

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A large value of A large value of   may be expected when r is may be expected when r is

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Assume a moderate positive r between father's height and son's adult height. For a father whose height is one standard deviation below the mean, we predict that his son's height will be

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If If   this means that this means that

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If a regression equation reads: we know that If a regression equation reads: we know that

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According to their grade on the first midterm, an instructor identifies the 10 best students among his class of 100. Their average grade is A-. After the next examination he reviews their performance. He will probably find that their average grade on the second test will be

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  will be zero when will be zero when

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  will be zero when will be zero when

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