(2, 104), (4, 111), (8, 122), (16, 133), (32, 144) Which model (exponential, log

Question

(2, 104), (4, 111), (8, 122), (16, 133), (32, 144)

Which model (exponential, logarthmic, logistic, or none of these) fits the given data the best?

For the correct model, choose the regression function of best fit.

Round calculations to two decimal places.

a) exponential, f(x) = 107.59(1.01)x

b) none of these

c) logistic, f(x) = 145.78/(1 + 0.49e-0.11x)

d) logarithmic, f(x) = 92.20 + 14.72ln(x)

a) exponential, f(x) = 107.59(1.01)x

b) none of these

c) logistic, f(x) = 145.78/(1 + 0.49e-0.11x)

d) logarithmic, f(x) = 92.20 + 14.72ln(x)

Explanation / Answer

B) NONE OF THESE

A) AT x=2

exponential, f(x) = 107.59(1.01)x

f(2) = 102.46 (wrong)

c) f(2) = 122

d) f(2) = 144

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