The table below shows the relationship between the diameter, x, in inches, and the height, y, in feet, of trees in a national park 8.3 10.5 12.9 16.3 77 17.3 81 17980 81 the two models shown were developed to represent the data model 1: y = 1.04r + 61.92 model 2: y = 1.212 + 58.4 create a residual plot for each model and select the true statement based on the residuals for each model

I think the answer is A.

Step-by-step explanation:

After graphing it in Desmos, I decided model A was better, and that it was non-random.

The correct option is A) The residual plot for model 2 has a random pattern and is a good fit for the data.

Step-by-step explanation:

Consider the provided data.

The table shows the relationship between the diameter, x, in inches, and the height, y, in feet, of trees in a national park.

The residual plot for the table is shown in figure 1:

Now, consider the model 1: y = 1.04 x + 61.92

The residual of the above model is shown in figure 2:

Consider the model 1: y = 1.21 x + 58.4

The residual of the above model is shown in figure 3:

Now observe the figure 4 which compare all the three residuals.

By comparing the residual of all the three models it can be concluded that 'Model 2 has a random pattern and is a good fit for the data.

Therefore, the correct option is A) The residual plot for model 2 has a random pattern and is a good fit for the data.

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)