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Mathematica 8 Result Output of NonlinearModelFit differs from the correct oneresult

I'm having a bad time dealing with the NonlinearModelFit in Mathematica 8, since the result given is a bit imprecise. An example is given on potential regression, as follows:

data = {{0.9, 1.1}, {2, 2}, {6, 4.1}, {6.9, 4.5}, {9.9, 5.5}, 
        {10.7, 5.9}, {14, 6.7}, {15.9, 7.3}}

NonlinearModelFit[data, b*t^a, {a, b}, t]

The result I get is: 1.34232*t^0.615024, however it should be 1.23...*t^0.6548.

What am I doing wrong? I experience the same thing when I try to do a exponential regression (like this: NonlinearModelFit[data, b*a^t, {a, b}, t]).

Thanks in advance.

/Brinck10

Mathematica 8 Result of NonlinearModelFit differs from the correct one

I'm having a bad time dealing with the NonlinearModelFit in Mathematica 8, since the result given is a bit imprecise. An example is given on potential regression, as follows:

data = {{0.9, 1.1}, {2, 2}, {6, 4.1}, {6.9, 4.5}, {9.9, 5.5}, 
        {10.7, 5.9}, {14, 6.7}, {15.9, 7.3}}

NonlinearModelFit[data, b*t^a, {a, b}, t]

The result I get is: 1.34232*t^0.615024, however it should be 1.23...*t^0.6548.

What am I doing wrong? I experience the same thing when I try to do a exponential regression (like this: NonlinearModelFit[data, b*a^t, {a, b}, t]).

Thanks in advance.

/Brinck10

Output of NonlinearModelFit differs from the correct result

I'm having a bad time dealing with the NonlinearModelFit in Mathematica 8, since the result given is a bit imprecise. An example is given on potential regression, as follows:

data = {{0.9, 1.1}, {2, 2}, {6, 4.1}, {6.9, 4.5}, {9.9, 5.5}, 
        {10.7, 5.9}, {14, 6.7}, {15.9, 7.3}}

NonlinearModelFit[data, b*t^a, {a, b}, t]

The result I get is: 1.34232*t^0.615024, however it should be 1.23...*t^0.6548.

What am I doing wrong? I experience the same thing when I try to do a exponential regression (like this: NonlinearModelFit[data, b*a^t, {a, b}, t]).

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Frederik Brinck Jensen
Frederik Brinck Jensen
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Mathematica 8 Result of NonlinearModelFit differs from the correct one

I'm having a bad time dealing with the NonlinearModelFit in Mathematica 8, since the result given is a bit imprecise. An example is given on potential regression, as follows:

data = {{0.9, 1.1}, {2, 2}, {6, 4.1}, {6.9, 4.5}, {9.9, 5.5}, 
        {10.7, 5.9}, {14, 6.7}, {15.9, 7.3}}

NonlinearModelFit[data, b*t^a, {a, b}, t]

The result I get is: 1.34232*t^0.615024, however it should be 1.23...*t^0.6548.

What am I doing wrong? I experience the same thing when I try to do a exponential regression (like this: NonlinearModelFit[data, b*a^t, {a, b}, t]).

Thanks in advance.

/Brinck10