Suppose Y is related to R and S in the following nonlinear way: Y aRbSc (Y = aR^

Question

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.

Explanation / Answer

answer Y aRbSc (Y = aR^bS^c)

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