State whether each of the following statements is true or false. a. The error sum of squares must be smaller than the regression sum of squares. b. Instead of carrying out a multiple regression, we can get the same information from simple linear regressions of the dependent variable on each independent variable. c. The coefficient of determination cannot be negative. d. The adjusted coefficient of determination cannot be negative.e. The coefficient of multiple correlation is the square root of the coefficient of determination.
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.
State whether each of the following statements is true or false.
a. The error sum of squares must be smaller than the regression sum of squares.
b. Instead of carrying out a multiple regression, we can get the same information from simple linear regressions of the dependent variable on each independent variable.
c. The coefficient of determination cannot be negative.
d. The adjusted coefficient of determination cannot be negative.
e. The coefficient of
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
