Question

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residual of 1?

Answer 1

A. 0.5 well at least that's the answer in ingenuity.

Answer 2

The residual of 1 is 0.5.

Explanation:

The given function is

`y=2x+1.5`

Substitute x=1 in the given equation of line, to find the expected or estimated value of the function at x=1.

`y=2(1)+1.5`

`y=3.5`

The point (1, 4) is in the data set. It means the actual value of the function is 4 at x=1.

The formula to calculate the residual is

Residual = Observed value - Estimated value

The residual of 1 is

`Residual=4-3.5=0.5`

Therefore the residual of 1 is 0.5.