Exam 10: Correlation and Regression

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Use the data below to answer questions: Use the data below to answer questions:    -Y is predicted to be 10.8 when X equals 	--------------? -Y is predicted to be 10.8 when X equals --------------?

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B

In the linear regression equation, Y=a+bx, the coefficient, "b" represents -----------.

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In the linear regression equation, "a" represents the y-intercept.

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Based on the equation in question 4, what type of correlation appears to exist in the data?

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Consider the following linear regression prediction equation: Y = 4 + (-4.2)X. If X=2, what is the predicted value of Y for this observation?

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A Pearson's r of -.9 represents a stronger association than an r of .60.

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Based on the equation in question 1, what type of correlation appears to exist in the data?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the y-intercept? -What is the y-intercept?

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If r2 =.60, what percent of the variation in the dependent variable is left unexplained By the independent variable?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the t-ratio? -What is the t-ratio?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the slope? -What is the slope?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the sum of squares for the independent variable? -What is the sum of squares for the independent variable?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the sum of squares for the dependent variable? -What is the sum of squares for the dependent variable?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the value of Pearson's r? -What is the value of Pearson's r?

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Consider the following linear regression prediction equation: Y = 12 + 3X. If X = 7, what is the predicted value of Y for this observation?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the sum of products? -What is the sum of products?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the direction of the relationship between these variables? -What is the direction of the relationship between these variables?

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If r2 =.40, what percent of the variation in the dependent variable is explained by the independent variable?

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Use the data below to answer questions: Use the data below to answer questions:    -What is the predicted value of Y when X equals 5? -What is the predicted value of Y when X equals 5?

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r2 represents the percent of total variance in the independent variable that is explained by the dependent variable.

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