R help - May 2013 - Generating random numbers satisfying specific regression equation

Hello everybody

Sorry if such a question has already been posted somewhere, but I wasn’t able to
find an answer yet.
I’m trying to generate random numbers for illustration purposes.

The random numbers should satisfy a multiple regression equation, for example:

z = 0.3 + 0.05 * x + 1.5 * y + 3 * xy

I was playing around with mvrnorm (MASS), but since I’m still a newbie to R and
not an educated statistician and wasn’t able to solve this.

Thanks for any suggestions or hints.

Best
Tobias
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(1) you need to examine the rnorm function, enter 
?rnorm()
 
(2) when you review the documentation produced by entering the command
above, you will see that the rnorm function needs three parameter, the
number of values to generate, the mean of the numbers to be generated,
and the SD (standard deviation) of the numbers to be generated. Two of
these values have default values, mean defaults to zero, SD to one.
 
(3) You then use rnorm in your formula:
 
x <- rnorm(10)
y <- rnorm(10)
z <- 0.3 + 0.05*x + 1.5*y + 3*x*y
z
 

>>> "Tobias Kisch" <tobiaskisch at hotmail.com>
5/25/2013 5:50 AM >>>
Hello everybody

Sorry if such a question has already been posted somewhere, but I
wasn?t able to find an answer yet.
I?m trying to generate random numbers for illustration purposes.

The random numbers should satisfy a multiple regression equation, for
example:

z = 0.3 + 0.05 * x + 1.5 * y + 3 * xy

I was playing around with mvrnorm (MASS), but since I?m still a newbie
to R and not an educated statistician and wasn?t able to solve this.

Thanks for any suggestions or hints.

Best
Tobias
[[alternative HTML version deleted]]


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