Exam 4: Basic Estimation Techniques

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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: ‪   -Which of the following statements is correct at the 1% level of significance? -Which of the following statements is correct at the 1% level of significance?

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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:    -The estimated value of a is 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:    -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:    -The percentage of the total variation in H explained by the regression is ________ percent. . 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 percentage of the total variation in H explained by the regression is ________ percent. -The percentage of the total variation in H explained by the regression is ________ percent.

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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:    ‪ -A 6.87% increase in Y will occur if S ________________ (increases, decreases) 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:    ‪ -A 6.87% increase in Y will occur if S ________________ (increases, decreases) by _______ percent. ‪ -A 6.87% increase in Y will occur if S ________________ (increases, decreases) by _______ percent.

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In the nonlinear function In the nonlinear function   , the parameter c measures , the parameter c measures

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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:    -Which of the parameter estimates are statistically significant at the 90% level of confidence? 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:    -Which of the parameter estimates are statistically significant at the 90% level of confidence? -Which of the parameter estimates are statistically significant at the 90% level of confidence?

(Multiple Choice)
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A simple linear regression equation relates G and D as follows: G = a + bD -The slope parameter is ______, and the intercept parameter _______.

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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 equals 12 and S equals 30, the fitted (or predicted) value of Y 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:    ‪ -If R equals 12 and S equals 30, the fitted (or predicted) value of Y is _____________. ‪ -If R equals 12 and S equals 30, the fitted (or predicted) value of Y 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    -If X equals 240, the fitted (or predicted) value of Y is ____________________________. -If X equals 240, the fitted (or predicted) value of Y 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:    ‪ -There are _______ degrees of freedom for the t-test. At the 1% level of significance, the critical t-value for the test 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:    ‪ -There are _______ degrees of freedom for the t-test. At the 1% level of significance, the critical t-value for the test is __________. ‪ -There are _______ degrees of freedom for the t-test. At the 1% level of significance, the critical t-value for the test is __________.

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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 parameter estimate _________ (is, is not) statistically significant at the 1% level. at the 1% level of significance. -The parameter estimate _________ (is, is not) statistically significant at the 1% level.

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Which of the following is an example of a time-series data set?

(Multiple Choice)
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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 20 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 20 units, what is average cost? -When output is 20 units, what is average cost?

(Multiple Choice)
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In the linear model In the linear model   , a test of the hypothesis that parameter c equals zero is , a test of the hypothesis that parameter c equals zero is

(Multiple Choice)
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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 equation of the sample regression line is: = __________________________. -The equation of the sample regression line is: = __________________________.

(Short Answer)
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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 p-value for indicates that the exact level of significance is _________ percent, which is the probability of _________________. 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 p-value for indicates that the exact level of significance is _________ percent, which is the probability of _________________. ‪ -The p-value for indicates that the exact level of significance is _________ percent, which is the probability of _________________.

(Short Answer)
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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 p-value for indicates that the exact level of significance is ______ percent, which is the probability of _______________________________. . 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 p-value for indicates that the exact level of significance is ______ percent, which is the probability of _______________________________. -The p-value for indicates that the exact level of significance is ______ percent, which is the probability of _______________________________.

(Short Answer)
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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 estimated value of a 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 estimated value of a is ______________. ‪ -The estimated value of a is ______________.

(Short Answer)
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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:    ‪ -At the 1% level of significance, _______ (is, is not) significant, _______ (is, is not) significant, and ________ (is, is not) significant. 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:    ‪ -At the 1% level of significance, _______ (is, is not) significant, _______ (is, is not) significant, and ________ (is, is not) significant. ‪ -At the 1% level of significance, _______ (is, is not) significant, _______ (is, is not) significant, and ________ (is, is not) significant.

(Short Answer)
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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: ‪   -The exact level of significance of   Is -The exact level of significance of refer to the following: The linear regression equation, Y = a + bX, was estimated. The following computer printout was obtained: ‪   -The exact level of significance of   Is Is

(Multiple Choice)
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