Solving equations in STATA

[Sydney NGUYEN]

Dear STATA users,

I am trying to solve equations to find value in STATA. Can you please have a look at the following case and give me some advices:

I have variable X (continuous variable). I would like to form a linear equation:

Y = a + b * X (1)
mean(Y) = 0 (2)
std(Y) = 1 (3)

Can I solve three equations (1), (2), and (3) to find Y, a, and b ?

Thank you very much for your time.

Nguyen.

[Sergiy Radyakin]

Sydney NGUYEN , while a and b are scalars in the above, Y's are not. So I am puzzled by your formulation of the task.

But from the information you provided it sounds like a form of normalization known as standardization in statistics, see more here:
https://en.wikipedia.org/wiki/Standard_score