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

ID: 2494856 • Letter: S

Question

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

Twenty-six observations are used to obtain the following regression results:

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

a. If R equals 12 and S equals 30, the fitted (or predicted) value of Y is ____________. (Show work)
b. If R increases by 14%, Y will increase by ________ percent.(Show work)

Explanation / Answer

a. If R equals 12 and S equals 30, the fitted (or predicted) value of Y is ___648_________. (Show work)
b. If R increases by 14%, Y will increase by __32.76%______ percent.(Show work)....Y = aRbSc...so change in Y would be 2.34 times R, so 2.34*14 = 32.76

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