Exam 13: Linear Regression and Correlation

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The coefficient of determination is the proportion of total variation in X that is explained by Y.

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If there is absolutely no relationship between two variables,what will Pearson's r equal? _____

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A coefficient of correlation of -0.96 indicates a very weak negative correlation.

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What is the range of values for a coefficient of correlation?

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Based on the regression equation,we can

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When analyzing a curvilinear relationship between dependent and independent variables,a transformation of the data is necessary.

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Using the following information: Using the following information:     What is the correlation coefficient? Using the following information:     What is the correlation coefficient? What is the correlation coefficient?

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The standard error of estimate measures the accuracy of a prediction.

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The coefficient of correlation r is often referred to as the Pearson product-moment correlation coefficient.

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In the equation In the equation   = a + bX,what is   ? = a + bX,what is In the equation   = a + bX,what is   ? ?

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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 straight line of regression;and/or 3)the standard deviations of these normal distributions are equal?

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Using the following information: Using the following information:     If testing the hypothesis: H<sub>0</sub>:   = 0,the computed t - statistic is: Using the following information:     If testing the hypothesis: H<sub>0</sub>:   = 0,the computed t - statistic is: If testing the hypothesis: H0: Using the following information:     If testing the hypothesis: H<sub>0</sub>:   = 0,the computed t - statistic is: = 0,the computed t - statistic is:

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

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Which of the following statements regarding the coefficient of correlation is true?

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A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero.If the sample consists of 25 observations and the correlation coefficient is 0.60,what is the computed value of the test statistic?

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When comparing the 95% confidence and prediction intervals for a given regression analysis,

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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:   The 95% prediction interval for a particular person making 30 calls is The 95% prediction interval for a particular person making 30 calls is

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What is the best model to describe a linear relationship between two variables? ________________________

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The correlation coefficient is the proportion of total variation in Y that is explained by X.

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One assumption underlying linear regression is that for each value of X there is a group of Y values that is normally distributed.

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