The following data represent the growth of a population of fruit flies over a 6-week per...

(a)

The objective is to test the given the model by plotting the graphs

now consider the table as,

The model states that is proportional to .

Now follow these steps to draw the graph and obtain the model function:

Step 1: First insert the data in the excel sheet.

Step 2: Now select the data insert and click on the insert button from the toolbar located on the top of the sheet and click on the scatter plot.

Step 3: Now right click on any point shown in the scatter plot that we get from step 3 and choose add trendline.

Step 4: Now tick on the linear graph and display equation which shows the equation as,

Therefore, the parameter is

(b)

The objective is to test given model by plotting graph and

It can be seen that is proportional to

Now take logarithm on both sides and get;

Now make a table containing value of P, and as;

Now follow step shown below to draw graph from the table and to get the model function.

Step 1: First insert the data in the excel sheet.

Step 2: Now select the data insert and click on the insert button from the toolbar located on the top of the sheet and click on the scatter plot.

Step 3: Now right click on any point shown in the scatter plot that we get from step 3 and choose add trendline.

Step 4: Now tick on the logarithmic graph and display equation and the equation will be display as,

Therefore, the parameter is