Thread: Estimator of parameters

I've got an uni assignment to do and I can't figure out one of the questions.

We have to consider 2 models, the first being Y = Beta1 + Beta2(X) + u
Then the second being Y = Alpha1 + Alpha2(X/100) + u
We've been given a dataset:

82.1	41.3
29.2	18.5
-25.2	-29.3
27	16
57.1	61.9
29.3	45.5
-31.2	-35.8
30	14
50.3	35.3
61.9	31

Y-value X-value

I've worked out Beta1 = 10.698 and Beta2 = 1.026 ,using the formulas described below for the first model, which is correct, but I'm not too sure on the 2nd model:

For the 2nd model, we have to derive the estimators of the parameters (alpha1 + alpha2).

I know Alpha2 would equal Beta2Hat, which = Summation(xiyi)/Summation(xi^2)

Alpha1 would also equal Beta1Hat?, which = YHat - Beta2Hat*XHat

The thing that has confused me is the (X/100).
How would the (X/100) change the estimators of the parameters?

PLEASE HELP!

Never mind, worked it out.