From the table, we construct the scatter plot:
As we can see, the plot shows an exponential or power behavior, so we use these models. Finding the best parameters of the fit leads to the equations:
[tex]\begin{gathered} y=11.46e^{0.102x}\text{ \lparen Exponential model\rparen} \\ \\ y=0.45x^{1.903}\text{ \lparen Power-law model\rparen} \end{gathered}[/tex]
To decide which model best describes the data, we compare the values or R²:
[tex]\begin{gathered} R^2=0.9604\text{ \lparen Exponential model\rparen} \\ \\ R^2=0.9993\text{ \lparen Power-law model\rparen} \end{gathered}[/tex]
And the fits are:
Answer: Last option (Power-law model)
