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.