Problem

The following data represent (hypothetical) energy consumption normalized to the year 19...

The following data represent (hypothetical) energy consumption normalized to the year 1900. Plot the data. Test the model Q = aebx by plotting the transformed data. Estimate the parameters of the model graphically.

Step-by-Step Solution

Solution 1

Consider the following date represent energy consumption normalized to the year:

The model of the equation is,

Apply ln on both sides to obtain.

Compute the following transformed data table:

Draw the following plot:

Picture 3

Now, estimate the parameters of the model graphically.

From the above figure, the slope of the line is approximated as

Hence, the estimated parameters of the model graphically is

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Solutions For Problems in Chapter 3.1
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