Exam 13: Correlation and Linear Regression

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The hypothesis to test the slope of a regression equation is H0: α\alpha = 0.

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What principle minimizes the sum of the squares of the vertical deviations about the line? _______________

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A confidence interval can be determined for the mean value of Y for a given value of X.

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Using the following regression analysis. Using the following regression analysis.   What is the residual mean square? What is the residual mean square?

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What is the value of the correlation coefficient if there is perfect correlation? ___________

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In the regression equation, what does the letter "Y" represent?

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Which value of r indicates a stronger correlation than 0.40?

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A scatter diagram is a graph that portrays the correlation between a dependent variable and an independent variable.

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A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow.   What is the standard error of estimate? _____________ What is the standard error of estimate? _____________

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What is the variable used to predict the value of another called?

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Which of the following are true assumptions underlying linear regression? 1) For each value of X, there is a group of Y values which is normally distributed. 2) The means of these normal distributions of Y values all lie on the regression line. 3) The standard deviations of these normal distributions are equal.

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High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results.   What is the coefficient of determination? What is the coefficient of determination?

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Using the following information: Using the following information:     Estimate the value of Ŷ when X = 4. Using the following information:     Estimate the value of Ŷ when X = 4. Estimate the value of Ŷ when X = 4.

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Assume the least squares equation is Ŷ = 10 + 20X. What does the value of 10 in the equation indicate?

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Using the following regression analysis. Using the following regression analysis.   What is the t test statistic to test the significance of the slope? What is the t test statistic to test the significance of the slope?

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In regression analysis, error is defined as ( In regression analysis, error is defined as (   - Y). - Y).

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Based on the regression equation, we can

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High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. High school students were interested in a teacher's claim that the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results.   What is the regression mean square? What is the regression mean square?

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If the value of r is -0.96, what does this indicate about the dependent variable as the independent variable increases? ___________

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What are the degrees of freedom used to test the significance of the slope in a regression equation?

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