Exam 12: Simple Linear Regression

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Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel's Regression Tool to construct a residual plot and use it to determine if any model assumption have been violated. Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel's Regression Tool to construct a residual plot and use it to determine if any model assumption have been violated.

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In a regression analysis if r2 1, then

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Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided.    SSE = 6 SST = 16 -Refer to Exhibit 12-4. The coefficient of correlation is SSE = 6 SST = 16 -Refer to Exhibit 12-4. The coefficient of correlation is

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Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination. Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination.

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Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained. Regression analysis was applied between sales (in $1000) and advertising (in $100) and the following regression function was obtained.   <font face=symbol></font> 500 + 4x Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is 500 + 4x Based on the above estimated regression line if advertising is $10,000, then the point estimate for sales (in dollars) is

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In a regression analysis if r2 1, then

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Larger values of r2 imply that the observations are more closely grouped about the

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Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable). Shown below is a portion of a computer output for a regression analysis relating Y (dependent variable) and X (independent variable).     a.Perform a t test using the p-value approach and determine whether or not Y and X are related. Let <font face=symbol></font> = 0.05. b.Using the p-value approach, perform an F test and determine whether or not X and Y are related. c.Compute the coefficient of determination and fully interpret its meaning. Be very specific. a.Perform a t test using the p-value approach and determine whether or not Y and X are related. Let = 0.05. b.Using the p-value approach, perform an F test and determine whether or not X and Y are related. c.Compute the coefficient of determination and fully interpret its meaning. Be very specific.

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Exhibit 12-2 You are given the following information about y and x. Exhibit 12-2 You are given the following information about y and x.    -Refer to Exhibit 12-2. The least squares estimate of b<sub>1</sub> equals -Refer to Exhibit 12-2. The least squares estimate of b1 equals

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If two variables, x and y, have a strong linear relationship, then

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Exhibit 12-3 Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained. Exhibit 12-3 Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained.    -Refer to Exhibit 12-3. Using <font face=symbol></font> <font face=symbol></font> 0.05, the critical t value for testing the significance of the slope is -Refer to Exhibit 12-3. Using 0.05, the critical t value for testing the significance of the slope is

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Application of the least squares method results in values of the y intercept and the slope that minimizes the sum of the squared deviations between the

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The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the

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

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Exhibit 12-5 You are given the following information about y and x. Exhibit 12-5 You are given the following information about y and x.    -Refer to Exhibit 12-5. The least squares estimate of b<sub>0</sub> (intercept)equals -Refer to Exhibit 12-5. The least squares estimate of b0 (intercept)equals

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As the goodness of fit for the estimated regression equation increases,

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Exhibit 12-5 You are given the following information about y and x. Exhibit 12-5 You are given the following information about y and x.    -Refer to Exhibit 12-5. The point estimate of y when x = 10 is -Refer to Exhibit 12-5. The point estimate of y when x = 10 is

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Exhibit 12-2 You are given the following information about y and x. Exhibit 12-2 You are given the following information about y and x.    -Refer to Exhibit 12-2. The sample correlation coefficient equals -Refer to Exhibit 12-2. The sample correlation coefficient equals

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Which of the following is correct?

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

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