Exam 11: Multiple Regression

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The difference between multiple regression and simple regression is that

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If two variables taken together account for 65% of the variability in Y , and a third variable has a simple squared correlation with Y of .10, then adding that variable to the equation will allow us to account for

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If we predict anxiety from stress and intrusive thoughts, and if the multiple regression is significant, that means that

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Based on the same formula ( Ŷ = .75 X -.40 Z + 5), calculate the missing predictor variables based on the following information. a. Ŷ = 100; X = 0 b. Ŷ = 0; Z = -20

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R2 can range from -1 to 1.

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The statistical tests on regression coefficients are usually

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If we know that a regression coefficient is statistically significant, we know that

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If you have a number of scores that are outliers you should

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In simple correlation a squared correlation coefficient tells us the percentage of variability in Y associated with variability in X . In multiple regression, the squared multiple correlation coefficient

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A table in which each variable is correlated with every other variable is called

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If you wanted to identify mothers who needed a parenting intervention to enhance sensitivity and could only collect two pieces of information from each family due to time and costs, which of the measures in the previous example would you select? Why?

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Estimate Y based on the equation Ŷ = .75 X -.40 Z + 5 using the following values. a. X = 10; Z = 0 b. X = 0; Z = 0 c. X = 20; Z = 100

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Which individual predictors are significantly associated with maternal sensitivity?

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In a regression predicting adolescent delinquent behavior from gender, the number of delinquent peers in the social network, and parental under control, R2 = .60. This means each of the variables accounted for 36% of the variability in delinquent behavior.

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When we speak of the correlations among the independent variables, we are speaking of

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How much variability in maternal sensitivity is accounted for by the set of predictors?

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If the multiple correlation is high, we would expect to have _______ residuals than if the multiple correlation is low.

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Based on the previous regression equation you just created, estimate cancer anxiety given the following values. a. social support = 100; general anxiety = 50 b. social support = 25; general anxiety = 7

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