is it possible to get other values (currently I know only a way to get beta and intercept) from the summary of linear regression in pandas? I need to get R-squared. Here is an extraction from manual:
In [244]: model = ols(y=rets['AAPL'], x=rets.ix[:, ['GOOG']])
In [245]: model
Out[245]:
-------------------------Summary of Regression Analysis--------------------- ----
Formula: Y ~ <GOOG> + <intercept>
Number of Observations: 756
Number of Degrees of Freedom: 2
R-squared: 0.2814
Adj R-squared: 0.2805
Rmse: 0.0147
F-stat (1, 754): 295.2873, p-value: 0.0000
Degrees of Freedom: model 1, resid 754
-----------------------Summary of Estimated Coefficients------------------------
Variable Coef Std Err t-stat p-value CI 2.5% CI 97.5%
--------------------------------------------------------------------------------
GOOG 0.5442 0.0317 17.18 0.0000 0.4822 0.6063
intercept 0.0011 0.0005 2.14 0.0327 0.0001 0.0022
---------------------------------End of Summary---------------------------------
Thanks
The coefficients can be obtained using the params attribute of a fitted model. It will print a numpy array with the values [0.89516052 2.00334187] for the intercept and slope, respectively. If you need more information, utilize the output. summary() object, which has three full tables with model descriptions.
Adjusted R-squared. This is defined here as 1 - ( nobs -1)/ df_resid * (1- rsquared ) if a constant is included and 1 - nobs / df_resid * (1- rsquared ) if no constant is included.
Linear regression, also called Ordinary Least-Squares (OLS) Regression, is probably the most commonly used technique in Statistical Learning. It is also the oldest, dating back to the eighteenth century and the work of Carl Friedrich Gauss and Adrien-Marie Legendre.
Docs handling the results of the regression - this will allow you to extract a number of values from your regression results:
# Given
model = ols(y=rets['AAPL'], x=rets.ix[:, ['GOOG']]).fit()
In the case of r-squared
use:
# retrieving model's r-squared value
model.rsquared
and in the case of p-values
use:
# return p-values and corresponding coefficients in model
model.pvalues
For more parameters (fvalues
ess
) please refer to the doc
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