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 of the data point (2, 15.27), first plug in x = 2 into the equation of the line of best fit:

y = -0.694(2) + 17.22
y = -1.388 + 17.22
y = 15.832

Now, subtract the predicted y-value (15.832) from the actual y-value (15.27) to find the residual:

15.27 - 15.832 = -0.562

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