A set of data points has a line of best fit of y = 2.5x – 1.5.What is the residual for the point (5, 12)?A.12B.1C.–1D.11SUBMITarrow_backPREVIOUS

The residual for a data point in linear regression is the difference between the observed value and the value predicted by the line of best fit.

Step 1: Identify the given data point, which is (5, 12). Here, 5 is the x-value and 12 is the observed y-value.

Step 2: Identify the equation of the line of best fit, which is y = 2.5x - 1.5.

Step 3: Substitute the x-value from the data point into the equation to find the predicted y-value.

y = 2.5*5 - 1.5 = 12.5 - 1.5 = 11

Step 4: Subtract the predicted y-value from the observed y-value to find the residual.

Residual = Observed y - Predicted y = 12 - 11 = 1

So, the residual for the point (5, 12) is 1. Therefore, the answer is B. 1.