[R] SLR 500 Random Samples

Dimitris Rizopoulos d.rizopoulos at erasmusmc.nl
Mon Feb 15 08:55:40 CET 2010

it seems that this is a homework! Please read carefully the Posting 
Guide: http://www.r-project.org/posting-guide.html -- the R-help mailing 
list is not intended for "Basic Statistics and classroom homework"!


Schwonka wrote:
> Consider the SLR y = 50 + 10x + e where e is NID(0.16). n = 20 pairs of
> observations. Generate 500 samples of 20 obersvations drawing 1 observations
> drawing one observation from each level of x = .5,1,1.5 ... 10 for each
> sample
> A) For each sample computer the least squares regression estimates of the
> slop and intercept. Construct histograms of the sample values of B_0_hat and
> B_1_hat.
> B) For each sample compute an estimate of E(y|x=5) Construct a histogram
> from these estimates.
> C) For each sample compute a 95% CI on the slope. How manyt of these contain
> the true value B_1 = 10
> D) For each estimate of E(y|x=5) in part b compute the 95% CI. How many of
> these intervals contain the trye value of E(y|x=5)=100?
> I have 0 idea how to do these as R was not a prereq for my regression course
> but is needed for these problems. As much help as you could offer would be
> amazing.

Dimitris Rizopoulos
Assistant Professor
Department of Biostatistics
Erasmus University Medical Center

Address: PO Box 2040, 3000 CA Rotterdam, the Netherlands
Tel: +31/(0)10/7043478
Fax: +31/(0)10/7043014

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