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)

Answer 1

-1.5

Explanation:

Answer 2

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

`R=yo-yp`

Where
`R` is the residual,
`yo` is the observed value
`y` and
`yp` is the predicted value
`y`.

2- You only need to substitute the
`x=5` into the equation
`y=2.5x-1.5` and then, you must apply the formula for calculate the residual:

`y=2.5(5)-1.5\\ y=11`

`R=12-11\\ R=1`

The answer is: The residual is
`1`