Exam 14: Regression Analysis

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Consider the following data: Consider the following data:   ,and   .What is the sample regression equation? ,and Consider the following data:   ,and   .What is the sample regression equation? .What is the sample regression equation?

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What is the name of the variable that's used to predict another variable?

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A scatterplot can help determine if two variables are related in some systematic way.

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Which of the following identifies the range for a correlation coefficient?

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Exhibit 14-1.Over the past 30 years,the sample standard deviations of the rates of return for stock X and Stock Y were 0.20 and 0.12,respectively.The sample covariance between the returns of X and Y is 0.0096. Refer to Exhibit 14-1.The correlation of the rates of return between X and Y is closest to:

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Consider the following sample data: Consider the following sample data:   a.Construct and interpret a scatterplot. B)Calculate and interpret the sample covariance. C)Calculate and interpret the sample correlation coefficient. a.Construct and interpret a scatterplot. B)Calculate and interpret the sample covariance. C)Calculate and interpret the sample correlation coefficient.

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Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model   .The following table below shows a portion of the regression results.   Refer to Exhibit 14-5.Predict Sales for a firm with Advertising of $500. .The following table below shows a portion of the regression results. Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model   .The following table below shows a portion of the regression results.   Refer to Exhibit 14-5.Predict Sales for a firm with Advertising of $500. Refer to Exhibit 14-5.Predict Sales for a firm with Advertising of $500.

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The positive square root of the coefficient of determination in simple linear regression is always equal to the correlation coefficient.

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When testing whether the correlation coefficient differs from zero,the value of the test statistic is When testing whether the correlation coefficient differs from zero,the value of the test statistic is   with a corresponding p-value of 0.0061.At the 5% significance level,can you conclude that the correlation coefficient differs from zero? with a corresponding p-value of 0.0061.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

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Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model   .The following table below shows a portion of the regression results.   Refer to Exhibit 14-5.Calculate the standard error of the estimate. .The following table below shows a portion of the regression results. Exhibit 14-5.An marketing analyst wants to examine the relationship between sales (in $1,000s)and advertising (in $100s)for firms in the food and beverage industry and collects monthly data for 25 firms.He estimates the model   .The following table below shows a portion of the regression results.   Refer to Exhibit 14-5.Calculate the standard error of the estimate. Refer to Exhibit 14-5.Calculate the standard error of the estimate.

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The simple linear regression model can be written in the form The simple linear regression model can be written in the form

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The sample correlation coefficient cannot equal zero.

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The value 0.75 of a sample correlation coefficient indicates a stronger linear relationship than that of 0.60.

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A simple linear regression of the return of firm A ( A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . )on the return of firm B ( A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . ),based on 18 observations,is A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . = 2.2 + 0.4 A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . .If the coefficient of determination from this regression is 0.09 calculate the correlation between A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . and A simple linear regression of the return of firm A (   )on the return of firm B (   ),based on 18 observations,is   = 2.2 + 0.4   .If the coefficient of determination from this regression is 0.09 calculate the correlation between   and   . .

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The correlation coefficient could be considered as a "standardized covariance."

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Exhibit 14-3.Consider the following sample regression equation Exhibit 14-3.Consider the following sample regression equation   ,where y is the demand for Product A (in 1000s)and x is the price of the product (in $). Refer to Exhibit 14-3.The slope coefficient indicates that if ,where y is the demand for Product A (in 1000s)and x is the price of the product (in $). Refer to Exhibit 14-3.The slope coefficient indicates that if

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A regression equation was estimated as A regression equation was estimated as   .If   and   ,the predicted value of y would be: .If A regression equation was estimated as   .If   and   ,the predicted value of y would be: and A regression equation was estimated as   .If   and   ,the predicted value of y would be: ,the predicted value of y would be:

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In testing the population correlation coefficient,the alternative hypothesis is In testing the population correlation coefficient,the alternative hypothesis is   . .

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Another name for an explanatory variable is the dependent variable.

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When testing whether the correlation coefficient differs from zero,the value of the test statistic is When testing whether the correlation coefficient differs from zero,the value of the test statistic is   with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero? with a corresponding p-value of 0.0653.At the 5% significance level,can you conclude that the correlation coefficient differs from zero?

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