How to interpret if coefficient of specification is 0 (zero)? a) There is no relationship between the dependent variable and the independent variable
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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How to interpret if coefficient of specification is 0 (zero)?
a)
There is no relationship between the dependent variable and the independent variable.
B)
There is no relationship between the dependent variable and the independent variable
NS)
No comment can be made as the
D)
The independent variable does not explain the dependent variable at all.
TO)
The coefficient of designation cannot theoretically be 0 (zero)
The coefficient of specification is nothing but the slope coefficient b1 in a regression line.
Let y= a+ bx be the regression line.
Here, a is the intercept, b is the slope, x is the independent variable and y is the independent variable.
The coefficient of the specification is nothing but the slope coefficient
If the slope of the coefficient b1 is positive, then there is a positive linear relationship between independent variable and the dependent variable. That is, if one increases, the other increases.
If the slope of the coefficient b1 is negative, then there is a negative linear relationship between the independent variable and the dependent variable.
That is, if one increases the other variable decreases.
If the slope coefficient is 0, then as one increases, the other remains constant. That is, there is no predictive relationship. In other words, there is no relationship between the independent variable and the dependent variable.
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