Question

Given 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 (5, 26)?

A. –3.5

B. –26

C. 3.5

D. 26

Answer 1

the answer i got was - 3.5

Answer 2

The correct option is C.

Explanation:

The equation of line of best fit for a set of data is

`y=5x-2.5`

The estimated value of the function at x=5 is

`\text{Estimated value}=5(5)-2.5=22.5`

The point of the data is (5,26). It means the observed value at x=5 is 26.

The formula for residual is

Residual value = Observed value - Estimated value

`Residual=26-22.5`

`Residual=3.5`

Therefore, the correct option is C.