bivariate statistical measures of regression correlation

bivariate statistical measures of regression correlation

1. bivariate statistical measures

   • regression and correlation.
   • Dispersion diagram
   • simple linear regression
   • correlation
   • multiple regression

2. regression analysis model

   • Statistical: Allows the incorporation of a random component in the relationship.
   • standardized: the slope B 1 tells us if there is a relationship between two variables
   • deterministic: that under ideal conditions, the independent variable can be a mathematical function of independent variables

3. problems with regression

   • inhomogeneous variance
   • nonlinear relationship
   • correlated errors

4. regression analysis

   • studies the relationship between two quantitative variables
   • statistical technique used to derive an equation that relates a criterion variable to one or more predictor variables
   • studies the strength of the association through a measure of association called the correlation coefficient

5. simple regression model

   • And the ŷ, since they rarely coincide, no matter how good the regression model is, to the quantity "-e Y-ŷ" is called the residual error.
   • We find a very simple-linear function of X, which allows approximation by means of -ŷ=b0+ b1X

6. linear regression

   • pearson linear correlation coefficient
     • if the points have a tendency to line up
     • r is useful to determine if there is a linear relationship between two variables. But it won't work for (quadratic, logarithmic.
     • has the same sxy sign
   • covarianza de dos variables aleatorias X e Y
     • Entre dos variables, Sxy, nos indica si la relación entre dos variables es directa o inversa
       • The sign of the covariance tells us that the cloud of points is increasing or not, it says nothing about the degree of the relationship between variables.

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