Exam 14: Correlation and Regression.

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If people are classified by age (over 30/under 30)and by political affiliation (Democrat/Republican),then the point-biserial correlation would be the proper technique to measure the relationship between the two variables.

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Compute the Pearson correlation for the following data.

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It is possible for none of the actual (observed)data points to be located on the regression line described by the regression equation.

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A negative correlation means that decreases in the X variable tend to be accompanied by decreases in the Y variable.

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For the regression equation Y = 2X - 3,if the mean for X is MX = 5,what is the mean for Y?

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A set of n = 15 pairs of scores (X and Y values)has SSₓ = 4,SSʏ = 25,and SP = 6.What is the Pearson correlation for these data?

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The following X and Y scores produce SS? = 2 and SP = 8.What is regression equation for predicting Y? 1 2 2 3 3 10

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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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If there is a positive correlation between X and Y,then the regression equation Y = bX + a will have _____.

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The Pearson and the Spearman correlations are both computed for the same set of data.If the Spearman correlation is rS = +1.00,what can you conclude about the Pearson correlation?

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A set of X and Y scores has MX = 4,MY = 10,SSₓ = 10,and SP = 5.The regression equation for these scores is Y = 0.5X + 8.

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Which of the following best describes the Pearson correlation for these data? 2 5 5 1 3 4 4 2

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If the following nine scores are ranked from smallest (#1)to largest,what rank should be assigned to a score of X = 1? Scores: 1,1,1,1,3,6,6,6,9

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For the linear equation Y = 2X + 4,if X increases by 1 point,how much will Y increase?

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What is indicated by a Pearson correlation of r = +1.00 between X and Y?

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The scatter plot for a set of X and Y values shows the data points clustered in a nearly perfect circle.For these data,what is the most likely value for the Pearson correlation?

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If other factors are held constant and the Pearson correlation between X and Y is r = 0.80,then the regression equation will produce more accurate predictions than would be obtained if r = 0.60.

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For which of the following Pearson correlations would the data points be clustered most closely around a straight line?

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Assuming that other factors are constant,a correlation of r = -0.95 will result in more accurate predictions than a correlation of r = +0.70.

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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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