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April 20, 2014

April 20, 2014

Posted by **Jill** on Tuesday, March 19, 2013 at 10:10pm.

We have to find the residual. I'm confused because the equation I was given is e=y-yhat

I know one is the expected value and one is what we got.

What do I plug in for y and what do I plug in for yhat?

The value of Rsquared is .72 on the calculator and if you square it it's .5184. Do I need to do anything with Rsquared or is that not involved in the residual?

2. Explain what residual measures?

- Stats -
**MathGuru**, Wednesday, March 20, 2013 at 8:03pmFor 1):

Y(hat) comes from substituting an x value into a regression equation and solving for y(hat). Y(hat) is also called the predicted y value in a regression equation.

Let's use an example. Suppose the regression equation is this:

y(hat) = 2.75 + .5x

If x = 1, then y(hat) = 3.25

Suppose y = 3. Then y - y(hat) would be 3 - 3.25 = -0.25 (using the above example). This would be your residual.

For 2):

The residuals in regression are measuring how far each observed y is from the regression line, y(hat), for a given value of x.

I hope this helps.

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