Exam 13: Linear Regression and Correlation

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In regression analysis,a transformation is used when.

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Using the following information: Using the following information:     The regression analysis can be summarized as follows: Using the following information:     The regression analysis can be summarized as follows: The regression analysis can be summarized as follows:

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What is the range of values for the coefficient of determination?

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A company wants to study the relationship between an employee's length of employment and their number of workdays absent.The company collected the following information on a random sample of seven employees. A company wants to study the relationship between an employee's length of employment and their number of workdays absent.The company collected the following information on a random sample of seven employees.   What is the independent variable (X)? _________________ What is the independent variable (X)? _________________

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

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A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected:   What is the value of the coefficient of determination? What is the value of the coefficient of determination?

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Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.

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When analyzing data with regression,a transformation is necessary when the relationship between the dependent and independent variables is linear.

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If we reject the null hypothesis that tests a population correlation coefficient,what can we conclude about the correlation in the population?

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The standard error of the estimate measures the scatter or dispersion of the observed values around a ____________________.

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The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

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The standard error of estimate is used to construct confidence intervals when the sample size is large and the scatter about the regression line is somewhat normally distributed.

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What is another name for the regression or estimating equation? ______________________________

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What do the coefficient of correlation and the slope of the regression line always have in common? __________________

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Using the following information: Using the following information:     What is the coefficient of determination? Using the following information:     What is the coefficient of determination? What is the coefficient of determination?

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Pearson's product-moment correlation coefficient,r,requires that the data be interval or ratio scaled,such as incomes and weights.

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What can we conclude if the coefficient of determination is 0.94?

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The technique used to measure the strength of the relationship between two variables using the coefficient of correlation and the coefficient of determination is called regression analysis.

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What principle is applied when calculating the regression coefficients? _________________

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If the coefficient of correlation is -0.50,the coefficient of determination is +0.25.

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