Exam 12: Prediction

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based on the following data for variables X and Y. based on the following data for variables X and Y.   -The regression constant for the best linear prediction rule is __________.(Give a number.) -The regression constant for the best linear prediction rule is __________.(Give a number.)

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In a multiple regression situation with two predictors,the correlation of the first predictor with the criterion is .13; the correlation of the second predictor variable with the criterion is .12.Because the two predictor variables are correlated with each other,the multiple correlation coefficient will be __________ .25.

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A social psychologist conducted a study of whether similarity to a potential date (X)predicted attraction to that potential date (Y).The results for four participants follow. A social psychologist conducted a study of whether similarity to a potential date (X)predicted attraction to that potential date (Y).The results for four participants follow.   a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error. a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error.

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A psychologist surveys a group of working married women to see if contribution to income (X)predicts contribution to housework (Y).(Contributions are proportions,but they have been converted to whole numbers to make figuring easier.)The results for four women follow: A psychologist surveys a group of working married women to see if contribution to income (X)predicts contribution to housework (Y).(Contributions are proportions,but they have been converted to whole numbers to make figuring easier.)The results for four women follow:   a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error. a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error.

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In a bivariate linear prediction,the null hypothesis is that

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The standardized regression coefficient in a bivariate linear prediction rule equals

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A regression line

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In a linear prediction rule using a standardized regression coefficient,

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Researchers recommend comparing __________ to __________ when determining a predictor's relative importance.(Give symbols.)

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The regression constant in the best linear prediction rule is

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Advanced topic: What is the formula for the proportionate reduction in error?

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Which limitation is applicable to both correlation and regression?

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A social psychologist examining whether length of court trials (X)predicts length of time for juries to come to a decision (Y),reports the following results for the first four trials studied. A social psychologist examining whether length of court trials (X)predicts length of time for juries to come to a decision (Y),reports the following results for the first four trials studied.   a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error. a.Figure the linear prediction rule. b.Make a graph with the regression line. c.Figure the standardized regression coefficient. d.Explain the logic of what you did to someone who is familiar with correlation,but who knows nothing about prediction.Be sure your answer explains the ideas of prediction,linear prediction rule,best linear prediction rule,the regression line,and the standardized regression coefficient. e.Advanced topic: Figure the proportionate reduction in error using sums of squared errors. f.Advanced topic: Explain the logic behind how you figured the proportionate reduction in error.

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