I'm afraid you're going to have to look it up in a basic statistics textbook.
Ben Bolker On Fri, 26 Sep 2003, Yao, Minghua wrote: > Thanks, Ben. > > Could you tell me the formula for calculating this sd., given (x_i, y_i) > (i=1,2,...,N)? > We only have one intercept and slope for them. > > -Minghua > > -----Original Message----- > From: Ben Bolker [mailto:[EMAIL PROTECTED] > Sent: Friday, September 26, 2003 4:34 PM > To: Yao, Minghua > Cc: R Help (E-mail) > Subject: Re: [R] Std. errors of intercept and slope > > > > Since the intercept and slope are estimated parameters, they have > sampling distributions described by their means and standard deviations. > The s.d. tells you the size of the uncertainty in intercept & in slope. > > This is a pretty basic stats question -- you need to refer to a standard > textbook or reference material ... > > Ben Bolker > > On Fri, 26 Sep 2003, Yao, Minghua wrote: > > > Dear all, > > > > I have the following output generated by linear regression. Since there is > > only one regression intercept and one slope for one set of data, what is > the > > > > meaning of std. error for intercept and that of slope? Thanks in advance. > > > > Sincerely, > > > > Minghua > > > > > > > data(thuesen) > > > attach(thuesen) > > > lm(short.velocity~blood.glucose) > > > > Call: > > lm(formula = short.velocity ~ blood.glucose) > > > > Coefficients: > > (Intercept) blood.glucose > > 1.09781 0.02196 > > > > > summary(lm(short.velocity~blood.glucose)) > > > > Call: > > lm(formula = short.velocity ~ blood.glucose) > > > > Residuals: > > Min 1Q Median 3Q Max > > -0.40141 -0.14760 -0.02202 0.03001 0.43490 > > > > Coefficients: > > Estimate Std. Error t value Pr(>|t|) > > (Intercept) 1.09781 0.11748 9.345 6.26e-09 *** > > blood.glucose 0.02196 0.01045 2.101 0.0479 * > > --- > > Signif. codes: 0 `***' 0.001 `**' 0.01 `*' 0.05 `.' 0.1 ` ' 1 > > > > Residual standard error: 0.2167 on 21 degrees of freedom > > Multiple R-Squared: 0.1737, Adjusted R-squared: 0.1343 > > F-statistic: 4.414 on 1 and 21 DF, p-value: 0.0479 > > > > > > > > > ______________________________________________ > > [EMAIL PROTECTED] mailing list > > https://www.stat.math.ethz.ch/mailman/listinfo/r-help > > > > -- 620B Bartram Hall [EMAIL PROTECTED] Zoology Department, University of Florida http://www.zoo.ufl.edu/bolker Box 118525 (ph) 352-392-5697 Gainesville, FL 32611-8525 (fax) 352-392-3704 ______________________________________________ [EMAIL PROTECTED] mailing list https://www.stat.math.ethz.ch/mailman/listinfo/r-help
