Question 1

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 ∑x² = 1178.547

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Question 2

The following time-sequenced observations of actual and predicted values of the dependent variable (demand)are obtained from a simple regression model.Determine the Durbin-Watson statistic (d).

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Question 3

Consider the following partial computer output from a simple linear regression analysis.  Analysis of Variance  Calculate the SSE.

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Question 4

Consider the following partial computer output from a simple linear regression analysis.  Analysis of Variance  Write the equation of the least squares line.

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Question 5

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

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Question 6

Consider the following partial computer output from a simple linear regression analysis.  Analysis of Variance  What is the predicted value of y when x = 9.00?

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Question 7

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

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Question 8

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H₀: β₁ = 0 versus H_a: β₁ ≠ 0 at α = .001.

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Question 9

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,∑x² = 1178.547

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Question 10

Consider the following partial computer output from a simple linear regression analysis.  Analysis of Variance  Calculate the MSE.

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Question 11

Consider the following partial computer output from a simple linear regression analysis with a sample size of 16 observations.Find the t test to test the significance of the model.

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Question 12

Based on 25 time-ordered observations from a simple regression model,we have determined the Durbin-Watson statistic,d = 1.39.At α = .05,test to determine if there is any evidence of positive autocorrelation.State your conclusions.

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Question 13

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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Question 14

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

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Question 15

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Test to determine if there is a significant correlation between x and y.Use H₀: ρ = 0 versus H_a: ρ ≠ 0 with α = .01.Show the test statistic used in the decision.

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Question 16

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

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Question 17

A regression model was applied to a data set with 8 time-ordered observations.The residuals for these observations are given below.  Calculate the Durbin-Watson statistic (d).

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Question 18

Consider the following partial computer output from a simple linear regression analysis.  S = 0.4862 R-Sq = 0.7286
Analysis of Variance  What is the correlation coefficient?

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Question 19

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

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Question 20

Consider the following partial computer output from a simple linear regression analysis.  Analysis of Variance  What is the estimated y-intercept?

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Quiz 13: 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 ∑x2 = 1178.547

The following time-sequenced observations of actual and predicted values of the dependent variable (demand)are obtained from a simple regression model.Determine the Durbin-Watson statistic (d).

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the SSE.

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Write the equation of the least squares line.

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

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance What is the predicted value of y when x = 9.00?

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

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H0: β1 = 0 versus Ha: β1 ≠ 0 at α = .001.

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,∑x2 = 1178.547

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the MSE.

Consider the following partial computer output from a simple linear regression analysis with a sample size of 16 observations.Find the t test to test the significance of the model.

Based on 25 time-ordered observations from a simple regression model,we have determined the Durbin-Watson statistic,d = 1.39.At α = .05,test to determine if there is any evidence of positive autocorrelation.State your conclusions.

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.

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

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Test to determine if there is a significant correlation between x and y.Use H0: ρ = 0 versus Ha: ρ ≠ 0 with α = .01.Show the test statistic used in the decision.

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

A regression model was applied to a data set with 8 time-ordered observations.The residuals for these observations are given below. Calculate the Durbin-Watson statistic (d).

Consider the following partial computer output from a simple linear regression analysis. S = 0.4862 R-Sq = 0.7286 Analysis of Variance What is the correlation coefficient?

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

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance What is the estimated y-intercept?

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 ∑x² = 1178.547

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Calculate the t statistic used to test H₀: β₁ = 0 versus H_a: β₁ ≠ 0 at α = .001.

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,∑x² = 1178.547

Consider the following partial computer output from a simple linear regression analysis. Analysis of Variance Test to determine if there is a significant correlation between x and y.Use H₀: ρ = 0 versus H_a: ρ ≠ 0 with α = .01.Show the test statistic used in the decision.

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