[R] summary linear regression
Gorka Merino
gmerino at icm.csic.es
Thu Nov 9 16:54:05 CET 2006
>>Good morning,
>>
>>I am a PhD student in Barcelona working with R. My question is about the
>>summary of linear regressions.
>>The output of that summary gives some statistical parameters of the
>>regression. One of them is the R-squared. In the help menu i have read
>>that the manner to calculate the R-squared is
>>
>>R^2 = 1 - Sum(R[i]^2) / Sum((y[i]- y*)^2), and when the linear
>>regression is forced to start at the point (0,0) y* is 0.
>>
>>My question is if the R-squared obtained when the linear regression
>>crosses the origin has the same meaning as when it does with an
>>intercept. I'm faced to a theoretical model which brings some values for
>>a variable that compared to the observed ones gives some R*squared of
>>0.32 when the regression has an intercept and 0.7 when it is forced to
>>cross the origin.
>>To sum up, it may be stated that the theoretical methodolgy followed
>>explains the 70% of of the observed variance?
>>
>>Thank you very much.
>>
>>Gorka Merino.
Gorka Merino
Institut de Ciències del Mar, CMIMA-CSIC
Psg. Marítim de la Barceloneta 37-49
08003-BARCELONA (Spain)
Tel.: (34) 932 30 95 48
e-mail: gmerino at icm.csic.es
CMIMA:
Tel.: (34) 932 30 95 00
Fax: (34) 932 30 95 55
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