Question

What is the residual for the point at (16,8.6)?

Answer 1

To find the residual for the point (16, 8.6), we need to calculate the equation of the best-fit line and substitute the x value into the equation to find the predicted value for y. Then, we subtract the predicted value from the actual y value to find the residual.

Step-by-step explanation:

The residual for a data point (x, y) is calculated by subtracting the predicted value for y from the actual y value. In this case, the point is (16, 8.6). To calculate the residual, we need to first find the equation of the best-fit line. Once we have the equation, we can substitute the x value of 16 to find the predicted value. Then, we can subtract the predicted value from the actual y value of 8.6 to find the residual.

Let's first calculate the equation of the best-fit line using regression analysis:

1. Enter the given data into a calculator or a spreadsheet program.
2. Use the regression function to find the equation of the line in the form y = mx + b, where m is the slope and b is the y-intercept.
3. Substitute x = 16 into the equation to find the predicted value for y.
4. Finally, subtract the predicted value from the actual y value to find the residual.