Exam 16: Introduction to Regression

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The Pearson correlation between X1 and Y is r = 0.50.When a second variable, X2, is added to the regression equation, we obtain R2 = 0.60.Adding the second variable increased the predicted variance for the Y scores by 36% - 25% = 11%.

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The proportion of SSY that is not predicted by the regression equation is equal to r2.

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For the regression equation, Ŷ = -2X + 6, if the X value is above the mean (positive deviation), then what can be determined about the predicted Y value?

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A multiple regression equation with two predictor variables is computed for a sample of n = 35 participants.The standard error of estimate for the equation would have df = 33.

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For linear regression calculated for a sample of n = 20 pairs of X and Y values, what is the value for degrees of freedom for the predicted portion of the Y-score variance, MSregression?

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A researcher who is evaluating the significance of a multiple regression equation with two predictor variables, obtains an F-ratio with df = 2, 18.How many individuals were needed to produce the sample data used to find the regression equation?

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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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The Pearson correlation between X1 and Y is r = 0.50 and the correlation between X2 and Y is r = 0.20.How much variance for the Y scores is predicted by using both X1 and X2 as predictor variables in a multiple regression equation?

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A set of n = 25 pairs of scores (X and Y values) has a Pearson correlation of r = 0.80.How much of the variance for the Y scores is predicted by the relationship with X?

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The Pearson correlation between X1 and Y is r = 0.70.When a second variable, X2, is added to the regression equation, we obtain R2 = 0.64.How much variance for the Y scores is predicted by using only X1 as a predictor variable?

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One use of regression equation is to increase the accuracy of predicting Y scores.How much of the variability in the Y scores is predictable from the regression equation?

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For either linear regression or multiple regression, the standard error of estimate can be computed as

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For the regression equation Y = X - 2, if the mean for Y is MY = 6, what is the mean for X?

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In the general linear equation, Y = bX + a, what is the value of b called?

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If other factors are held constant, a larger numerical value for the Pearson correlation will result in a smaller standard error of estimate.

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The line defined by the Y = -3X + 6 slopes up to the right.

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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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.The multiple regression with two predictor variables is computed for a sample of n = 25 participants.what is the value for degrees of freedom for the predicted portion of the Y-score variance, MSregression?

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A researcher who is evaluating the significance of a multiple regression equation with two predictor variables, obtains an F-ratio with df = 2, 24.How many individuals were needed to produce the sample data used to find the regression equation?

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For linear regression, if X = MX, then the predicted Y value is MY.

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