regression coefficient Antonyms
No Synonyms and anytonyms found
Meaning of regression coefficient
regression coefficient (n)
when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a function of changes in the other (x); it is the slope of the regression line
regression coefficient Sentence Examples
- The regression coefficient of independent variable X on dependent variable Y measures the change in Y for a one-unit change in X, holding all other variables constant.
- The regression coefficient indicates the direction and strength of the relationship between the independent and dependent variables.
- A positive regression coefficient implies a positive correlation between the variables, while a negative coefficient suggests a negative correlation.
- The significance of the regression coefficient is determined by a statistical test, such as the t-test or F-test.
- Regression coefficients are estimated by fitting a regression line or curve to the observed data points.
- Multiple regression analysis allows for the estimation of regression coefficients for multiple independent variables simultaneously.
- Regression coefficients can be used to predict the dependent variable for given values of the independent variables.
- The magnitude of the regression coefficient represents the average change in the dependent variable for a one-unit change in the independent variable.
- Regression coefficients can be used to compare the relative importance of different independent variables in explaining the variation in the dependent variable.
- The accuracy of regression coefficients depends on the quality and representativeness of the data used to estimate them.
FAQs About the word regression coefficient
when the regression line is linear (y = ax + b) the regression coefficient is the constant (a) that represents the rate of change of one variable (y) as a funct
No synonyms found.
No antonyms found.
The regression coefficient of independent variable X on dependent variable Y measures the change in Y for a one-unit change in X, holding all other variables constant.
The regression coefficient indicates the direction and strength of the relationship between the independent and dependent variables.
A positive regression coefficient implies a positive correlation between the variables, while a negative coefficient suggests a negative correlation.
The significance of the regression coefficient is determined by a statistical test, such as the t-test or F-test.
