Question

A line of best fit predicts that when x equals 25, y will equal 27.745, but y actually equals 29. What is the residual in this case? A. 1.255 B. -1.255 C. -2.745 D. 2.745

Answer 1

The correct option is A.

Explanation:

From the given information it is clear that at x=25, the predicted value of y is 27.745 and the actually value is 29.

Predicted value = 27.745

Observed value = 29

The formula for residual is

Residual = Observed value - predicted value

`Residual=y-\hat{y}`

`Residual=29-27.745`

`Residual=1.255`

The residual in this case is 1.255, therefore option A is correct.