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?
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
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