Answer true or false to each of the following statements and explain your answers. a. High correlations among the powers of the predictor variable in a polynomial regression do not affect the t-tests for the utility of the terms in the regression equation. b. In the backward elimination method for selecting the degree of a polynomial regression equation, the term of the highest degree is eliminated from the regression equation if its t-statistic is significant. c. A predictor variable is centered by subtracting its mean from each observed value of the predictor 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.
Answer true or false to each of the following statements and explain your answers.
a. High
b. In the backward elimination method for selecting the degree of a polynomial regression equation, the term of the highest degree is eliminated from the regression equation if its t-statistic is significant.
c. A predictor variable is centered by subtracting its mean from each observed value of the predictor variable.
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