statsmodels.regression.linear_model.OLS¶
-
class
statsmodels.regression.linear_model.
OLS
(endog, exog=None, missing='none', hasconst=None, **kwargs)[source]¶ A simple ordinary least squares model.
Parameters: endog : array-like
1-d endogenous response variable. The dependent variable.
exog : array-like
A nobs x k array where nobs is the number of observations and k is the number of regressors. An intercept is not included by default and should be added by the user. See
statsmodels.tools.add_constant
.missing : str
Available options are ‘none’, ‘drop’, and ‘raise’. If ‘none’, no nan checking is done. If ‘drop’, any observations with nans are dropped. If ‘raise’, an error is raised. Default is ‘none.’
hasconst : None or bool
Indicates whether the RHS includes a user-supplied constant. If True, a constant is not checked for and k_constant is set to 1 and all result statistics are calculated as if a constant is present. If False, a constant is not checked for and k_constant is set to 0.
See also
Notes
No constant is added by the model unless you are using formulas.
Examples
>>> import numpy as np >>> >>> import statsmodels.api as sm >>> >>> Y = [1,3,4,5,2,3,4] >>> X = range(1,8) >>> X = sm.add_constant(X) >>> >>> model = sm.OLS(Y,X) >>> results = model.fit() >>> results.params array([ 2.14285714, 0.25 ]) >>> results.tvalues array([ 1.87867287, 0.98019606]) >>> print(results.t_test([1, 0]))) <T test: effect=array([ 2.14285714]), sd=array([[ 1.14062282]]), t=array([[ 1.87867287]]), p=array([[ 0.05953974]]), df_denom=5> >>> print(results.f_test(np.identity(2))) <F test: F=array([[ 19.46078431]]), p=[[ 0.00437251]], df_denom=5, df_num=2>
Attributes
weights (scalar) Has an attribute weights = array(1.0) due to inheritance from WLS. Methods
fit
([method, cov_type, cov_kwds, use_t])Full fit of the model. fit_regularized
([method, maxiter, alpha, ...])Return a regularized fit to a linear regression model. initialize
()loglike
(params)The likelihood function for the clasical OLS model. predict
(params[, exog])Return linear predicted values from a design matrix. whiten
(Y)OLS model whitener does nothing: returns Y. Attributes
df_model
The model degree of freedom, defined as the rank of the regressor matrix minus 1 if a constant is included. df_resid
The residual degree of freedom, defined as the number of observations minus the rank of the regressor matrix. endog_names
exog_names