# [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"!

Best,
Dimitris

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

```