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 first substitute x=2 into the equation of the line of best fit and then subtract the actual y-value from the predicted y-value.

For x=2:
y = -0.694(2) + 17.22
y = -1.814 + 17.22
y = 15.406

Now, calculate the residual:
15.406 - 15.27 = 0.136

Therefore, the residual of the data point (2,15.27) is 0.136. Since this is not one of the given answer choices, the closest one would be B. 0.562, however, the correct residual should be rounded to 3 decimal places.