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.
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:
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 