Reference no: EM13187640
Suppose Y is related to R and S in the following nonlinear way:
Y aRbSc (Y = aR^bS^c)
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 STANDARD
ESTIMATE 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.
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: 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 STANDARD ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 2.9957 0.3545 ..
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