Use the Desmos graphing calculator to generate the least-squares regression line and statistics for the data in the table. What is the residual value for x = 18?

Question

x


y

2


3

4


9

11


12

15


17

18


16

25


22
(1 point)
Responses

−0.4216

−1.2389

0.4216

2.5784

Answer 1

To find the least-squares regression line and statistics for the data in the table, follow these steps:

1. Go to the Desmos graphing calculator website: https://www.desmos.com/calculator

2. Enter the data points into the tables provided. The x-values should go in the first column and the y-values in the second column.

3. Click on the "+" button above the tables to add a new line.

4. Type "y1 ~ mx1 + b" into the new line. This will generate the least-squares regression line.

5. To find the residual value for x = 18, plug in x = 18 into the regression line equation "y = mx + b" and find the difference between the predicted y-value and the actual y-value.

6. The residual value for x = 18 is approximately 2.5784.

Therefore, the correct answer is: 2.5784