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Suppose Y is related to Rand S in the following nonlinear way: Y= aR'S In order to estimate the parameters a, b, and c, the equation must be trans- formed into the form: a. Twenty-six observations are used to obtain the following regression results: VARIABLE: LNY R-SQUARE F-RATIO P-VALUE ON F

Suppose Y is related to Rand S in the following nonlinear way: Y= aR'S In order to estimate the parameters a, b, and c, the equation must be trans- formed into the form: a. Twenty-six observations are used to obtain the following regression results: VARIABLE: LNY R-SQUARE F-RATIO P-VALUE ON F

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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2. Suppose Y is related to R and S in the following nonlinear way: Y= aR'S In order to estimate the parameters a, b, and c, the equation must be trans- a. formed into the form: Twenty-six observations are uscd 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 PARAMETER ESTIMATE STANDARD ERROR VARIABLE 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 1-test. At the 1% level of significance, the critical 1-value for the test is At the 1% level of significance, à (is, is not) significant, 6 C. (is, is not) significant, and è (is, is not) signifi- cant. d. The estimated value of a is
Transcribed Image Text:2. Suppose Y is related to R and S in the following nonlinear way: Y= aR'S In order to estimate the parameters a, b, and c, the equation must be trans- a. formed into the form: Twenty-six observations are uscd 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 PARAMETER ESTIMATE STANDARD ERROR VARIABLE 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 1-test. At the 1% level of significance, the critical 1-value for the test is At the 1% level of significance, à (is, is not) significant, 6 C. (is, is not) significant, and è (is, is not) signifi- cant. d. The estimated value of a is
e. The p-value for 6 indicates that the exact level of significance is percent, which is the probability of At the 1% level of significance, the critical value of the F-statistic is (is, is not) significant at the f. The model as a whole 1% level. If R = 12 and S= 30, the fitted (or predicted) value of Y is %3D g. h. The percentage of the total variation in the dependent variable not explained by the regression is percent. If R increases by 14%, Y will increase by percent. A 6.87% increase in Y will occur if S (increases, de- j. creases) by percent.
Transcribed Image Text:e. The p-value for 6 indicates that the exact level of significance is percent, which is the probability of At the 1% level of significance, the critical value of the F-statistic is (is, is not) significant at the f. The model as a whole 1% level. If R = 12 and S= 30, the fitted (or predicted) value of Y is %3D g. h. The percentage of the total variation in the dependent variable not explained by the regression is percent. If R increases by 14%, Y will increase by percent. A 6.87% increase in Y will occur if S (increases, de- j. creases) by percent.
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