Question

A set of data includes the point (17, 3.8) and has the regression equation y=−25x+436 . What is the residual for this point?

Answer 1

The residual for the point (17, 3.8) is 7.2.

Step-by-step explanation:

The least-squares regression line for the given set of data is y = -25x + 436. To find the residual for the point (17, 3.8), we need to substitute the x-coordinate (17) into the regression equation and subtract the y-coordinate (3.8) from the result.

So, substituting x = 17 into the equation, we have:

y = -25(17) + 436 = -425 + 436 = 11

Residual = 11 - 3.8 = 7.2