Exam 6: Correlation and Regression

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A correlation of -.88 between television viewing time and grades in high school is best understood as demonstrating that

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Galton's effort to find ways to improve the human condition led him to study the field of

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Data Set 6-1 The correlation between the number of PhDs and the number of mules in a state used to be approximately -.90. Accept the following simplified summary data. Mean 40 200 Standard Deviation 15 50 In questions based on Data Set 6-1, the task is to predict the number of mules for a state, given the number of PhDs. -Look at Data Set 6-1. For a state with 60 PhDs the predicted number of mules would be

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A ___ correlation coefficient indicates a medium effect size according to Cohen; a ___ correlation coefficient indicates a reliable measuring instrument.

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From the data below, 100 5 90 5 120 4 130 6 110 7 a. draw a scatterplot. b. compute r. c. with self-esteem as Y, calculate the regression coefficients. d. interpret the r value you have computed.

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Error in a regression analysis is defined as

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Given the regression equation, Y^\hat { Y } = 10 + 3X, where X is a personality score and Y^\hat { Y } is a "success"score, what success score would be predicted for a person whose personality score was 31?

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In a bivariate distribution

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Given the regression equation, Y^\hat { Y } = 3 + 2X, where X is a score on a test of simple algebra and Y^\hat { Y } is a score on a college statistics exam, what statistics exam score would you predict for an algebra score of 12?

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The number of regression lines for a bivariate distribution is equal to the number of regression coefficients.

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The numerator of the definitional formula of the correlation coefficient is the product of the two regression coefficients.

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In a bivariate distribution

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Suppose you had a correlation coefficient calculated on data from variables that were not linearly related. Such a coefficient

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Correlation coefficients can be used to establish

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Depending on the units chosen for the X and Y axis,

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Correlation coefficients can approach 1.00 but never reach that value.

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If a bivariate distribution is not linear, r will not show the degree of relationship between two variables.

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The correlation between per capita income and violent crime rate in the 50 American states is

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The sum of the cross-products is

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Situation A: correlation coefficient of .00; Situation B; correlation coefficient of 1.00. With respect to cause and effect statements, Situation A allows the statement and Situation B allows .

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