Question

Exponential or Power Model? Data points (x, y) are shown in the table. x 2 4 6 8 10 12 14 16 y 0.08 0.12 0.18 0.25 0.36 0.52 0.73 1.06 (b) Draw scatter plots of (x, ln y) and (ln x, ln y).

Answer 1

To determine whether the data follows an exponential or power model, we can examine scatter plots of (x, ln y) and (ln x, ln y). If the scatter plot of (x, ln y) forms a straight line, it is an exponential model. If the scatter plot of (ln x, ln y) forms a straight line, it is a power model.

Step-by-step explanation:

To determine whether the data points follow an exponential or power model, we can examine the scatter plots of (x, ln y) and (ln x, ln y).

If the scatter plot of (x, ln y) forms a straight line, then the data follows an exponential model. If the scatter plot of (ln x, ln y) forms a straight line, then the data follows a power model.

In this case, when plotting (x, ln y), the scatter plot does not form a straight line, suggesting that the data does not follow an exponential model. However, when plotting (ln x, ln y), the scatter plot does form a straight line, indicating that the data follows a power model.