find 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 of a data point, we need to subtract the actual y-value from the predicted y-value based on the line of best fit.

Given:
Actual data point: (2, 15.27)
Line of best fit: y = -0.694x + 17.22

Predicted y-value:
y = -0.694(2) + 17.22
y = -1.388 + 17.22
y = 15.832

Residual:
15.27 - 15.832 = -0.562

Therefore, the residual of the data point (2, 15.27) is -0.562. So the correct answer is:

C. -0.562