Exam 14: Correlation and Regression

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Assuming that SSY is constant,which of the following correlations would have the largest SSresidual?

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

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For a two-tailed hypothesis test evaluating the significance of a correlation,the null hypothesis states that the sample correlation is zero.

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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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A set of n = 5 pairs of X and Y values has SSX = 16,SSY = 4 and SP = 2.For these data,what is the Pearson correlation ?

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If other factors are held constant,if 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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A set of X and Y scores has a Pearson correlation of r = 0.60.For these data,60% of the variability in the Y scores can be predicted from the relationship with X.

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A sample of n = 25 pairs of scores (X and Y values)produces a correlation of r = -0.40.Are these sample data sufficient to conclude that there is a significant non-zero correlation between X and Y in the population? Use a two-tailed test at the .05 level of significance.

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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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A linear regression equation has b = 3 and a = - 6.What is the predicted value of Y for X = 4?

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

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A set of n = 5 pairs of X and Y scores has ΣX = 15,ΣY = 5,and ΣXY = 10.For these data,what is the value of SP?

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A researcher obtains a Pearson correlation of r = 0.60 for a sample of n = 6 pairs of X and Y scores.If the researcher tests the significance of the correlation,what value will be obtained for the t statistic?

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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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A set of n = 15 pairs of X and Y scores has SSX = 10,SSY = 40,and SP = 30.What is the slope for the regression equation for predicting Y from X?

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A set of X and Y scores has MX = 4,SSX = 10,MY = 5,SSY = 40,and SP = 20.What is the regression equation for predicting Y from X?

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One or two extreme data points can have a dramatic effect on the size of a correlation.

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A researcher finds a significant correlation between the amount of time spent watching television and blood pressure for a sample of 40-year-old men.This means that watching more television causes high blood pressure.

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The F-ratio evaluating the significance of a linear regression equation based on n = 10 pairs of X and Y scores has df = 1,9.

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