1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Statistics, prediction

  1. May 10, 2009 #1
    1. The problem statement, all variables and given/known data
    Given a simple linear model y = B1 + B2*x + e and the least square estimators, we can estimate E(y) for any value of x = x0 as Y0 = b1 + b2*x0

    Describe the difference between predicting y0 and estimating E(y0)
    2. Relevant equations

    3. The attempt at a solution

    I am not sure what the difference is.

    Y= b1 + b2*x0

    f = y0 - Y0 = (B1 +B2*x0 + e0) - (b1 + b2*x0)

    E(f) = 0

    and var(f) = sigma2*(1 + 1/N + (x0 - [tex]\bar{x}[/tex])2/sum(xi - [tex]\bar{}x[/tex])2

    where [tex]\bar{}x[/tex] is the average.

    the prediction interval is Y0 +- tc*se(f)

    where se is the standard error of the forcast.

    Can anyone help me with estimating E(y0)?
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted