Question

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.

Answer 1

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

Explanation:

Answer 2

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

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!!!