Exam 9: Pearsons Correlation and Bivariate Regression

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When reading a scatterplot, the independent variable defines the

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An analyst is interested in the relationship between number of cups of coffee consumed before an exam (the independent variable) and exam grade (the dependent variable). She regresses exam GRADE on number of CUPS of coffee. The equation for the best-fitting straight line is GRADE = 90 − 10(CUPS) A) One student had six cups of coffee. What was that student's predicted grade? B) If one student had no coffee and received a grade of 95, what was that student's regression residual? C) Does the best fitting straight line through the scatterplot rise or fall as it moves to the right? (rise or fall)

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Based on the regression equation Y = 200 + 50X, which of the following is true?

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Answer the questions that follow this SPSS output:     A) What is the value of the multiple correlation? __________ B) If one person is five years older than another person, how much more income would we predict the older person gets? __________ C) Write out the regression equation. You may use Y and X or the names of the variables.

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If the value of the multiple correlation is .80, what is the value of the coefficient of determination? __________

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What kinds of questions can you answer using bivariate regression?

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GPA is regressed on YEAR in college. The resulting regression equation is GPA = 1.75 + .25(YEAR). Someone in their fourth year of college would be predicted to have a GPA _____ than someone in their first year of college.

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Answer the questions that follow this SPSS output:   A) What is the value of Pearson's correlation for the relationship between SIBLINGS and MAEDUC? __________ B) Which pair of variables has the weakest correlation in the table? __________ and __________

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