Multiple linear regression function which returns the coeficients (the regression weights) of the independent variables with their error, t-value and p-value also an a estimate for a residual variance and the degrees of freedom in the model. The description of the linear model can be found here: https://en.wikipedia.org/wiki/Regression_analysis
formula:an object of class object, the model to fitted
data:an data frame, contain the variables in the model
coefficients:an matrix, regressions coefficients
fitted_values:an matrix, fitted values
residuals:an matrix, the residulas
df:an integer, the degrees of freedom
residual_var:numeric, the residual variance
coefficients_var:numeric, the variance of the regression coefficients
t_values:an matrix, the t-values for each coefficient
coef()Return coeficients
initialize(formula, data)Initialize all regression variables
plot()Show residuals vs fitted plot and scale-location plot
pred()Return fitted values
print()Show linreg formula and coefficients of indepentends
resid()Return residuals
summary()Show resituals, coefficients with their estimate, standard error, t-value and p-value
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