Question

Question 9 of 13Given the line of best fit for a set of data points with the equation y = 5x - 2.5,what is the residual for the point (3, 6)?A. -6.5SUBMITOB. -6C. 6.5OD. 6

Answer 1

Given,

The line of best fit for a set of data points with the equation

`y=5x-2.5`

To find: What is the residual for the point (3, 6)?

Solution:

The residual is the difference between the predicted value and the real value. Using the equation, we find the value of y using the given value of x.

`\begin{gathered} y=-2.5+5x \\ y=-2.5+(5*3) \\ y=-2.5+15 \\ y=12.5 \end{gathered}`

The difference between this value and the given value of y is 12.5 - 6 = 6.5

Thus, the residual is equal to 6.5