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
Question
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
Solution
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.
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