The SAT math scores, x, and SAT verbal scores, y, for ten high school students are shown in the table below.

x y

400 330

420 440

470 480

510 460

530 520

570 610

600 590

680 670

700 680

790 710

Using a residual plot, determine if the following model is a good fit for the data in the table above.

No. The model is not a good fit because the residual plot has a random pattern.

Yes. The model is a good fit because the residual plot has a random pattern.

No. The model is not a good fit because the residual plot does not have a random pattern.

Yes. The model is a good fit because the residual plot does not have a random pattern.

Option D (Yes. The model is a good fit because the residual plot does not have a random pattern).

Step-by-step explanation:

First of all, insert all the data in Microsoft Excel. Make sure that the values of X are in the ascending order. Then, make the scatter plot of the data with the line of best fit from the Insert option. The graph shows that there is a positive relation between x and y. Most of the actual values of y lie very close to the line. A very few observations are a little further from the line of best fit. Therefore, the model is a good fit because the residual plot does not have a random pattern. Option D is the correct answer!

D) Yes. The model is a good fit because the residual plot does not have a random pattern.