Answer true or false to the following statements and explain your answers. a. If the F-test for the utility of a multiple linear regression rejects the null hypothesis, then all the population regression coefficients are different from 0. b. If the F-test for the utility of a multiple linear regression does not reject the null hypothesis, we can conclude that there is no relationship whatsoever between the response variable and the predictor variables. c. If the value of the F-statistic for testing the utility of the multiple linear regression is close to 0, the value of the coefficient of multiple determination will be close to 0.
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.
Answer true or false to the following statements and explain your answers.
a. If the F-test for the utility of a multiple linear regression rejects the null hypothesis, then all the population regression coefficients are different from 0.
b. If the F-test for the utility of a multiple linear regression does not reject the null hypothesis, we can conclude that there is no relationship whatsoever between the response variable and the predictor variables.
c. If the value of the F-statistic for testing the utility of the multiple linear regression is close to 0, the value of the coefficient of multiple determination will be close to 0.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
