Exam 16: Introduction to Regression

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A multiple regression equation with two predictor variables is calculated for a set of scores.If the constant values in the equation are b1 = 2, b2 = -3, and a = 7, then what Y value would be predicted for an individual with X1 = 2 and X2 = 4?

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Which of the following is the standard error of estimate for a linear regression equation?

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If a set of X and Y scores has r > 0, then the regression equation, Ŷ = bX + a, will have a > 0.

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In a multiple regression equation with two predictor variables, if b1 is larger than b2, then X1 is a better predictor of the Y-score variance than is X2.

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If the Pearson correlation between X and Y is negative, then the regression equation will have a negative slope.

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It is possible for two sets of data have the same regression equation, but different correlations.

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For a linear regression equation, the sum of the squared residuals can be computed directly by finding the difference between each Y and its predicted Y, then squaring the difference and adding the squared values.An alternative procedure is to calculate

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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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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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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 unpredicted portion of the Y-score variance, MSresidual?

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For a regression equation with a positive slope, if the X value is above the mean for the X scores, then the predicted Y value will be above the mean for the Y scores.

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The value of SSresidual measures the total squared distance between the actual Y values and the Y values predicted by the regression equation.

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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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The distance between the Y value in the data and the Y value predicted from the regression equation is know as the residual.What is the value for the sum of the squared residuals?

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A set of X and Y scores has SSX = 10, SSY = 36, and SP = 20.The regression equation for these scores will have a slope constant of 2.

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A set of X and Y scores has SSX = 20, SSY = 10, and SP = 40.What is the slope for the regression equation?

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The line produced by the equation Y = 4X - 5 crosses the vertical axis at Y = 5.

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

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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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