Exam 14: Simple Linear Regression

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Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided.   -Refer to Exhibit 14-10. The point estimate of Y when X = 3 is -Refer to Exhibit 14-10. The point estimate of Y when X = 3 is

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Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided.   -Refer to Exhibit 14-10. The Y intercept is -Refer to Exhibit 14-10. The Y intercept is

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Shown below is a portion of the computer output for a regression analysis relating sales (Y in millions of dollars) and advertising expenditure (X in thousands of dollars).  Shown below is a portion of the computer output for a regression analysis relating sales (Y in millions of dollars) and advertising expenditure (X in thousands of dollars).      a. What has been the sample size for the above? b. Perform a t test and determine whether or not advertising and sales are related. Let  \alpha   = 0.05. c. Compute the coefficient of determination. d. Interpret the meaning of the value of the coefficient of determination that you found in Part c. Be very specific.e. Use the estimated regression equation and predict sales for an advertising expenditure of $4,000. Give your answer in dollars.  Shown below is a portion of the computer output for a regression analysis relating sales (Y in millions of dollars) and advertising expenditure (X in thousands of dollars).      a. What has been the sample size for the above? b. Perform a t test and determine whether or not advertising and sales are related. Let  \alpha   = 0.05. c. Compute the coefficient of determination. d. Interpret the meaning of the value of the coefficient of determination that you found in Part c. Be very specific.e. Use the estimated regression equation and predict sales for an advertising expenditure of $4,000. Give your answer in dollars. a. What has been the sample size for the above? b. Perform a t test and determine whether or not advertising and sales are related. Let α\alpha = 0.05. c. Compute the coefficient of determination. d. Interpret the meaning of the value of the coefficient of determination that you found in Part c. Be very specific.e. Use the estimated regression equation and predict sales for an advertising expenditure of $4,000. Give your answer in dollars.

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The coefficient of correlation

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If the coefficient of correlation is a negative value, then the coefficient of determination

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Exhibit 14-6 For the following data the value of SSE = 0.4130. Exhibit 14-6 For the following data the value of SSE = 0.4130.   -Refer to Exhibit 14-6. The slope of the regression equation is -Refer to Exhibit 14-6. The slope of the regression equation is

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Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s) and advertising data (x in $100s) and the following information was obtained. Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s) and advertising data (x in $100s) and the following information was obtained.   = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 S<sub>b1</sub> = 0.2683 -Refer to Exhibit 14-4. To perform an F test, the p-value is = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 Sb1 = 0.2683 -Refer to Exhibit 14-4. To perform an F test, the p-value is

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In regression analysis if the dependent variable is measured in dollars, the independent variable

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Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided   -Refer to Exhibit 14-8. The mean square error (MSE) is -Refer to Exhibit 14-8. The mean square error (MSE) is

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Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s) and advertising data (x in $100s) and the following information was obtained. Exhibit 14-4 Regression analysis was applied between sales data (Y in $1,000s) and advertising data (x in $100s) and the following information was obtained.   = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 S<sub>b1</sub> = 0.2683 -Refer to Exhibit 14-4. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is = 12 + 1.8 x n = 17 SSR = 225 SSE = 75 Sb1 = 0.2683 -Refer to Exhibit 14-4. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is

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In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

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In regression analysis, the unbiased estimate of the variance is

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A company has recorded data on the daily demand for its product (Y in thousands of units) and the unit price (X in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data. Σ\Sigma X = 75 Σ\Sigma Y-  A company has recorded data on the daily demand for its product (Y in thousands of units) and the unit price (X in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data. \Sigma X = 75  \Sigma Y-   ) \Sigma X-   ) = -59  \Sigma Y = 135  \Sigma X-   )<sup>2</sup> = 94  \Sigma Y-   )<sup>2</sup> = 100 SSE = 62.9681  a.Using the above information, develop the least-squares estimated regression line and write the equation. b.Compute the coefficient of determination. c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let  \alpha  = 0.05. d.Would the demand ever reach zero? If yes, at what price would the demand be zero? ) Σ\Sigma X-  A company has recorded data on the daily demand for its product (Y in thousands of units) and the unit price (X in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data. \Sigma X = 75  \Sigma Y-   ) \Sigma X-   ) = -59  \Sigma Y = 135  \Sigma X-   )<sup>2</sup> = 94  \Sigma Y-   )<sup>2</sup> = 100 SSE = 62.9681  a.Using the above information, develop the least-squares estimated regression line and write the equation. b.Compute the coefficient of determination. c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let  \alpha  = 0.05. d.Would the demand ever reach zero? If yes, at what price would the demand be zero? ) = -59 Σ\Sigma Y = 135 Σ\Sigma X-  A company has recorded data on the daily demand for its product (Y in thousands of units) and the unit price (X in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data. \Sigma X = 75  \Sigma Y-   ) \Sigma X-   ) = -59  \Sigma Y = 135  \Sigma X-   )<sup>2</sup> = 94  \Sigma Y-   )<sup>2</sup> = 100 SSE = 62.9681  a.Using the above information, develop the least-squares estimated regression line and write the equation. b.Compute the coefficient of determination. c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let  \alpha  = 0.05. d.Would the demand ever reach zero? If yes, at what price would the demand be zero? )2 = 94 Σ\Sigma Y-  A company has recorded data on the daily demand for its product (Y in thousands of units) and the unit price (X in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data. \Sigma X = 75  \Sigma Y-   ) \Sigma X-   ) = -59  \Sigma Y = 135  \Sigma X-   )<sup>2</sup> = 94  \Sigma Y-   )<sup>2</sup> = 100 SSE = 62.9681  a.Using the above information, develop the least-squares estimated regression line and write the equation. b.Compute the coefficient of determination. c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let  \alpha  = 0.05. d.Would the demand ever reach zero? If yes, at what price would the demand be zero? )2 = 100 SSE = 62.9681 a.Using the above information, develop the least-squares estimated regression line and write the equation. b.Compute the coefficient of determination. c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let α\alpha = 0.05. d.Would the demand ever reach zero? If yes, at what price would the demand be zero?

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Regression analysis is a statistical procedure for developing a mathematical equation that describes how

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If the coefficient of correlation is a positive value, then

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Exhibit 14-2 You are given the following information about y and x. Exhibit 14-2 You are given the following information about y and x.   -Refer to Exhibit 14-2. The sample correlation coefficient equals -Refer to Exhibit 14-2. The sample correlation coefficient equals

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In a regression analysis the standard error is determined to be 4. In this situation the MSE

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Exhibit 14-7 You are given the following information about y and x. Exhibit 14-7 You are given the following information about y and x.   -Refer to Exhibit 14-7. The least squares estimate of b<sub>0</sub> (intercept) equals -Refer to Exhibit 14-7. The least squares estimate of b0 (intercept) equals

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SSE can never be

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In regression and correlation analysis, if SSE and SST are known, then with this information the

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