Exam 4: Basic Estimation Techniques

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Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is    -At the 5% level of significance, __________ (is, not) significant, and ________ (is, is not) significant. -At the 5% level of significance, __________ (is, not) significant, and ________ (is, is not) significant.

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4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -The estimated sample regression line is _________________________________. . The computer output from the regression analysis is shown below: 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -The estimated sample regression line is _________________________________. -The estimated sample regression line is _________________________________.

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4-4F Suppose Y is related to R and S in the following nonlinear way: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -If R increases by 14%, Y will increase by ________ percent. Twenty-six observations are used to obtain the following regression results: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -If R increases by 14%, Y will increase by ________ percent. ‪ -If R increases by 14%, Y will increase by ________ percent.

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The linear regression equation G = a + bD is estimated using 24 observations on R and W. The least-squares estimate of b is -22.5, and the standard error of the estimate is 8.36. Perform a t-test for statistical significance of The linear regression equation G = a + bD is estimated using 24 observations on R and W. The least-squares estimate of b is -22.5, and the standard error of the estimate is 8.36. Perform a t-test for statistical significance of    at the 1% level of significance. -The value of the t-statistic is _________. The critical t-value for the test is _________. at the 1% level of significance. -The value of the t-statistic is _________. The critical t-value for the test is _________.

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4-4F Suppose Y is related to R and S in the following nonlinear way: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -The percentage of the total variation in the dependent variable NOT explained by the regression is _______________. Twenty-six observations are used to obtain the following regression results: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -The percentage of the total variation in the dependent variable NOT explained by the regression is _______________. ‪ -The percentage of the total variation in the dependent variable NOT explained by the regression is _______________.

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Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is    -The percentage of the total variation in Y that is NOT explained by the regression is ________. -The percentage of the total variation in Y that is NOT explained by the regression is ________.

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refer to the following nonlinear model which relates W to P, Q, and R: refer to the following nonlinear model which relates W to P, Q, and R:     The computer output form the regression analysis is:    -Which of the parameter estimates are statistically significant at the 5% level of significance? The computer output form the regression analysis is: refer to the following nonlinear model which relates W to P, Q, and R:     The computer output form the regression analysis is:    -Which of the parameter estimates are statistically significant at the 5% level of significance? -Which of the parameter estimates are statistically significant at the 5% level of significance?

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refer to the following computer output from estimating the parameters of the nonlinear model refer to the following computer output from estimating the parameters of the nonlinear model    The computer output from the regression analysis is:    -The estimated value of a is The computer output from the regression analysis is: refer to the following computer output from estimating the parameters of the nonlinear model    The computer output from the regression analysis is:    -The estimated value of a is -The estimated value of a is

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4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. . The computer output from the regression analysis is shown below: 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. -At the 4% level of significance, 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. __________ (is, is not) significant, 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. ________ (is, is not) significant, 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. ________ (is, is not) significant, and 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -At the 4% level of significance,   __________ (is, is not) significant,   ________ (is, is not) significant,   ________ (is, is not) significant, and   ________ (is, is not) significant. ________ (is, is not) significant.

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A simple linear regression equation relates G and D as follows: G = a + bD -When D is zero, G equals _______.

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The linear regression equation G = a + bD is estimated using 24 observations on R and W. The least-squares estimate of b is -22.5, and the standard error of the estimate is 8.36. Perform a t-test for statistical significance of The linear regression equation G = a + bD is estimated using 24 observations on R and W. The least-squares estimate of b is -22.5, and the standard error of the estimate is 8.36. Perform a t-test for statistical significance of    at the 1% level of significance. -There are _____ degrees of freedom for the t-test. at the 1% level of significance. -There are _____ degrees of freedom for the t-test.

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In a linear regression equation of the form Y = a + bX, the slope parameter b shows

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4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -If U equals 4, V equals 8, and W equals 10, the fitted (or predicted) value of H is ____________. . The computer output from the regression analysis is shown below: 4-5F Seventy-five data point on H, U, V, and W are employed to estimate the parameters in the linear relation    . The computer output from the regression analysis is shown below:    -If U equals 4, V equals 8, and W equals 10, the fitted (or predicted) value of H is ____________. -If U equals 4, V equals 8, and W equals 10, the fitted (or predicted) value of H is ____________.

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refer to the following: A manager wishes to estimate an average cost equation of the following form: refer to the following: A manager wishes to estimate an average cost equation of the following form:     where Q is the level of output. Letting Z = Q<sup>2</sup> and using least-squares estimation, the manager obtains the following computer output:    -Which of the parameter estimates are statistically significant at the 1% significance level? where Q is the level of output. Letting Z = Q2 and using least-squares estimation, the manager obtains the following computer output: refer to the following: A manager wishes to estimate an average cost equation of the following form:     where Q is the level of output. Letting Z = Q<sup>2</sup> and using least-squares estimation, the manager obtains the following computer output:    -Which of the parameter estimates are statistically significant at the 1% significance level? -Which of the parameter estimates are statistically significant at the 1% significance level?

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refer to the following: The linear regression equation, Y = a + bX, was estimated. The following computer printout was obtained: ‪ refer to the following: The linear regression equation, Y = a + bX, was estimated. The following computer printout was obtained: ‪   -If X equals 20, what is the predicted value of Y? -If X equals 20, what is the predicted value of Y?

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4-4F Suppose Y is related to R and S in the following nonlinear way: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -In order to estimate the parameters a, b, and c, the equation must be transformed into the form: ___________________________________. Twenty-six observations are used to obtain the following regression results: 4-4F Suppose Y is related to R and S in the following nonlinear way:     Twenty-six observations are used to obtain the following regression results:    ‪ -In order to estimate the parameters a, b, and c, the equation must be transformed into the form: ___________________________________. ‪ -In order to estimate the parameters a, b, and c, the equation must be transformed into the form: ___________________________________.

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Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is    -At the 5% level of significance, the critical value of the F-statistic is _______. The model as a whole ___________(is, is not) significant at the 5% level. -At the 5% level of significance, the critical value of the F-statistic is _______. The model as a whole ___________(is, is not) significant at the 5% level.

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Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is    -There are ______ degrees of freedom for the t-test. At the 5% level of significance, the critical t-value for the test is ______________. -There are ______ degrees of freedom for the t-test. At the 5% level of significance, the critical t-value for the test is ______________.

(Short Answer)
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Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is Thirty-two data points on Y and X are employed to estimate the parameters in the linear relation Y = a + bX. The computer output from the regression analysis is    -At the 2% level of significance, the critical t-value for a t-test is ___________. At the 2% level of significance, _________ (is, is not) significant, and _________ (is, is not) significant. -At the 2% level of significance, the critical t-value for a t-test is ___________. At the 2% level of significance, _________ (is, is not) significant, and _________ (is, is not) significant.

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refer to the following: A manager wishes to estimate an average cost equation of the following form: refer to the following: A manager wishes to estimate an average cost equation of the following form:     where Q is the level of output. Letting Z = Q<sup>2</sup> and using least-squares estimation, the manager obtains the following computer output:    -When output is 40 units, what is average cost? where Q is the level of output. Letting Z = Q2 and using least-squares estimation, the manager obtains the following computer output: refer to the following: A manager wishes to estimate an average cost equation of the following form:     where Q is the level of output. Letting Z = Q<sup>2</sup> and using least-squares estimation, the manager obtains the following computer output:    -When output is 40 units, what is average cost? -When output is 40 units, what is average cost?

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