0
$\begingroup$

This question already has an answer here:

I have a table in which the multiple linear regression results is provided. If I have unstandardized coefficients and standard error for each independent variable, is it possible to calculate standardized coefficient (Beta) and coefficient of determination ($R^2$) from these data.

My friend provided $R^2=0.41$ for these data, but I doubt if the results are reliable. I brought the table in the following, would you please compute Beta and R-squared for me to compare with the original table?

enter image description here

the descriptive statistics is the following table:

enter image description here

$\endgroup$

marked as duplicate by whuber Nov 15 '13 at 17:32

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ This question cannot be answered with the information given: the computation requires the standard deviations of the explanatory variables. Please consult threads associated with the standardization tag, such as stats.stackexchange.com/questions/74622/…, which shows how to compute the unstandardized coefficients from the betas (and, when carried out in reverse, essentially answers your question). $\endgroup$ – whuber Nov 15 '13 at 16:32
  • $\begingroup$ thanks a lot for the comment. I provided standard deviations of variables. then is it possible to estimate beta and r-squared from these data? $\endgroup$ – user31315 Nov 15 '13 at 17:01
  • $\begingroup$ Yes: use the method explained in the answer I referenced. $\endgroup$ – whuber Nov 15 '13 at 17:04
  • 1
    $\begingroup$ Among other places, see also a comment here, to convert b to beta. $\endgroup$ – ttnphns Nov 15 '13 at 17:07
  • $\begingroup$ @whuber and ttnphns: Thank you. sorry if I'm taking your time. I don't know anything about statistics and I could not understand the formula. would you please do the procedure for one variable to see how you substitute the values in the formula mentioned in the link you provided and calculate beta and R-squared ? for example for variable 'r' in the above table $\endgroup$ – user31315 Nov 15 '13 at 17:25