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Thirty data points on Y and X are employed to estimate the parameters

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Homework Exercises;1. Thirty 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;DEPENDENT VARIABLE: Y R-SQUARE F-RATIO P-VALUE ON F;OBSERVATIONS: 30 0.3301 13.79 0.0009;VARIABLE;PARAMETER;ESTIMATE;STANDARD;ERROR;T-RATIO;P-VALUE;INTERCEPT 93.54 46.210 2.02 0.0526;X ?3.25 0.875 ?3.71 0.0009;a. The equation of the sample regression line is Y? = _________________.;b. There are ______ degrees of freedom for the t-test. At the 1% level of significance;the critical t-value for the test is ______________.;c. At the 1% level of significance, a? __________ (is, is not) significant, and b?;(is, is not) significant.;d. At the 2% level of significance, the critical t-value for a t-test is;At the 2% level of significance, ? a ____________ (is, is not);significant, and b? ____________ (is, is not) significant.;e. The p-value for b? indicates that the exact level of significance is;percent, which is the probability of;f. At the 1% level of significance, the critical value of the F-statistic is;The model as a whole ______________(is, is not) significant at;the 1% level.;g. If X equals 500, the fitted (or predicted) value of Y is __________________.;h. The percentage of the total variation in Y not explained by the regression is;percent.;i. Explain why it is necessary to assess the statistical significance of the;parameter estimates.;Chapter 4: Basic Estimation Techniques;98;2. Suppose Y is related to R and S in the following nonlinear way;Y = aRbSc;a. 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;DEPENDENT VARIABLE: LNY R-SQUARE F-RATIO P-VALUE ON F;OBSERVATIONS: 26 0.3647 4.21 0.0170;VARIABLE;PARAMETER;ESTIMATE;STANDARD;ERROR;T-RATIO;P-VALUE;INTERCEPT 2.9957 0.3545 8.45 0.0001;LNR 2.34 0.87 2.69 0.0134;LNS ?0.687 0.334 ?2.06 0.0517;b. There are __________ degrees of freedom for the t-test. At the 1% level of;significance, the critical t-value for the test is ________________.;c. At the 1% level of significance, a? ____________ (is, is not) significant, b?;(is, is not) significant, and ? c ___________ (is, is not) significant.;d. The estimated value of a is __________________.;e. The p-value for b? indicates that the exact level of significance is;percent, which is the probability of;f. At the 1% level of significance, the critical value of the F-statistic is;The model as a whole ___________ (is, is not) significant at the;1% level.;g. If R = 12 and S = 30, the fitted (or predicted) value of Y is _____________.;h. The percentage of the total variation in the dependent variable not explained;by the regression is _______________ percent.;i. If R increases by 14%, Y will increase by ________ percent.;j. A 6.87% increase in Y will occur if S ________________ (increases, decreases);by _______ percent.

 

Paper#22937 | Written in 18-Jul-2015

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