Exam 13: Simple Linear Regression Analysis

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If the Durbin-Watson statistic is greater than (4 - dL),then we conclude that:

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Which of the following is a violation of the independence assumption?

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E

Based on 30 time-ordered observations from a simple regression,we have determined the Durbin-Watson statistic,d = 2.71.At α = .05,test to determine if there is any evidence of negative autocorrelation.State your conclusions.

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Yes,there is evidence of negative autocorrelation,because 2.71 > 2.65.

A simple regression analysis with 20 observations would yield ________ degrees of freedom error and _________ degrees of freedom total.

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   What is the unexplained variance? Analysis of Variance Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   What is the unexplained variance? What is the unexplained variance?

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The dependent variable is the variable that is being described,predicted,or controlled.

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A local tire dealer wants to predict the number of tires sold each month.He believes that the number of tires sold is a linear function of the amount of money invested in advertising.He randomly selects 6 months of data consisting of monthly tire sales (in thousands of tires)and monthly advertising expenditures (in thousands of dollars).Residuals are calculated for all of the randomly selected six months and ordered from smallest to largest.Determine the normal score for the smallest residual.

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Which of the following is a violation of one of the major assumptions of the simple regression model?

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Test H<sub>0</sub>: β<sub>1</sub> = 0 versus H<sub>a</sub>: β<sub>1</sub> ≠ 0 by setting α = .001.What do you conclude about the relationship between y and x? Analysis of Variance Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Test H<sub>0</sub>: β<sub>1</sub> = 0 versus H<sub>a</sub>: β<sub>1</sub> ≠ 0 by setting α = .001.What do you conclude about the relationship between y and x? Test H0: β1 = 0 versus Ha: β1 ≠ 0 by setting α = .001.What do you conclude about the relationship between y and x?

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Determine the 95 percent confidence interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03 and ∑x<sup>2</sup> = 1178.547 Analysis of Variance Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Determine the 95 percent confidence interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03 and ∑x<sup>2</sup> = 1178.547 Determine the 95 percent confidence interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03 and ∑x2 = 1178.547

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An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below. An experiment was performed on a certain metal to determine if the strength is a function of heating time.Results based on 10 metal sheets are given below.   Using the simple linear regression model,find the estimated y-intercept and slope and write the equation of the least squares regression line. Using the simple linear regression model,find the estimated y-intercept and slope and write the equation of the least squares regression line.

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If the Durbin-Watson statistic is less than dL,then we conclude that:

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All of the following are assumptions of the error terms in the simple linear regression model except:

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   What is the estimated slope? What is the estimated slope?

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The range for r2 is between 0 and 1,and the range for r is between ____________.

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   What is the predicted value of y when x = 1,000? What is the predicted value of y when x = 1,000?

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Consider the following partial computer output from a simple linear regression analysis. Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Determine the 95 percent prediction interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03,∑x<sup>2</sup> = 1178.547 Analysis of Variance Consider the following partial computer output from a simple linear regression analysis.   Analysis of Variance   Determine the 95 percent prediction interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03,∑x<sup>2</sup> = 1178.547 Determine the 95 percent prediction interval for the mean value of y when x = 9.00.Givens: ∑x = 129.03,∑x2 = 1178.547

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The following results were obtained from a simple regression analysis: Ŷ = 37.2895 - 1.2024X r2 = .6744 sb = .2934 When X (independent variable)is equal to zero,what is the estimated value of Y (dependent variable)?

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Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Find the F statistic to test the significance of the model. Complete the following partial ANOVA table from a simple linear regression analysis with a sample size of 16 observations.Find the F statistic to test the significance of the model.

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A simple linear regression model is an equation that describes the straight-line relationship between a dependent variable and an independent variable.

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