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I have a sequence of data:

data = {{20, 291}, {21, 440}, {22, 571}, {23, 830}, {24, 1287}, {25, 1975}, {26, 2744}, {27, 4515}, {28, 5974}, {29, 7711}};

The data is in the exponential form x1 Exp[x2 t] - x3. For some reason, I would like to transform the data to the linear form log (CR(t) + x3) first, and then transform it back to the exponential form. I would like to find the best value of x3 that can give me the best simulation. The ideal value for x3 should be around 1.1. Is there any way to do this in Mathematica?

I have a sequence of data:

data = {{20, 291}, {21, 440}, {22, 571}, {23, 830}, {24, 1287}, {25, 1975}, {26, 2744}, {27, 4515}, {28, 5974}, {29, 7711}};

The data is in the exponential form x1 Exp[x2 t] - x3. For some reason, I would like to transform the data to the linear form log (CR(t) + x3) first, and then transform it back to the exponential form. I would like to find the best value of x3 that can give me the best simulation. Is there any way to do this in Mathematica?

I have a sequence of data:

data = {{20, 291}, {21, 440}, {22, 571}, {23, 830}, {24, 1287}, {25, 1975}, {26, 2744}, {27, 4515}, {28, 5974}, {29, 7711}};

The data is in the exponential form x1 Exp[x2 t] - x3. For some reason, I would like to transform the data to the linear form log (CR(t) + x3) first, and then transform it back to the exponential form. I would like to find the best value of x3 that can give me the best simulation. The ideal value for x3 should be around 1.1. Is there any way to do this in Mathematica?

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Non-linear regression simulation

I have a sequence of data:

data = {{20, 291}, {21, 440}, {22, 571}, {23, 830}, {24, 1287}, {25, 1975}, {26, 2744}, {27, 4515}, {28, 5974}, {29, 7711}};

The data is in the exponential form x1 Exp[x2 t] - x3. For some reason, I would like to transform the data to the linear form log (CR(t) + x3) first, and then transform it back to the exponential form. I would like to find the best value of x3 that can give me the best simulation. Is there any way to do this in Mathematica?