Bivariate statistical measures of regression and correlation-Mayerly Diaz
Coefficient of determination R2
Determining the degree of correlation between the variables the coefficient of determination, also called R squared, reflects the goodness of fit of a model to the variable.
The regression can be linear and curvilinear or nonlinear, they can be
Regression Coefficient
Indicates the number of units in which the dependent variable "Y" is modified by the effect of the change in the independent variable "X" or vice versa in a unit of measure.
The regression coefficient can be: Positive, Negative and Null
Regression analysis
It studies the strength of the association through a measure of association called the correlation coefficient.
Statistical technique used to derive an equation that relates a criterion variable to one or more predictor variables.
Study the relationship between two quantitative variables
Regression analysis model
Deterministic: That under ideal conditions, the independent variable can be a mathematical function of the independent variables.
Standardized: The slope β1 tells us if there is a relationship between two variables.
Statistical: Allows the incorporation of a random component in the relationship.
Bivariate statistical measures
Multiple Regression
Simple Linear Regression
Correlation
Dispersion diagram
Regression and correlation
Problems with regression
Correlational errors
non linear relationship
Inhomogeneous variance.
