What is the residual of the data point (2,15.27)

Question

line of best fit: y = -0.694x + 17.22
A. -1.562
B. 0.562
C. -0.562

Answer 1

To find the residual, we need to calculate the difference between the actual y-value and the predicted y-value from the line of best fit equation.

First, plug in x = 2 into the equation y = -0.694x + 17.22 to find the predicted y-value:
y = -0.694(2) + 17.22
y = -1.388 + 17.22
y = 15.822

Now we can calculate the residual:
Residual = actual y-value - predicted y-value
Residual = 15.27 - 15.822
Residual = -0.552

Therefore, the residual of the data point (2,15.27) is -0.552.
C. -0.562