Question

A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this case?

A. -2.215
B. 2.215
C. 4.215
D. -4.215

Answer 1

Answer: A. - 2.215

Step-by-step explanation:

• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.

`\text{Residual=Actual value of y -predicted value of y}\\\\\Rightarrow\text{Residual}=32-34.215\\\\\Rightarrow\text{Residual}=-2.215`

Hence, the residual in this case = -2.215