Answer true or false to each of the following statements and explain your answers.a. A polynomial regression equation of degree k in the centered predictor variable gives different predicted values than the polynomial regression equation of degree k in the uncentered predictor variable.b. The utility of a power of x in a polynomial regression equation depends on what other powers of x are in the regression equation.c. High correlations among the predictor variables have little effect on the t-tests for the individual utility of a 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. A polynomial regression equation of degree k in the centered predictor variable gives different predicted values than the polynomial regression equation of degree k in the uncentered predictor variable.
b. The utility of a power of x in a polynomial regression equation depends on what other powers of x are in the regression equation.
c. High
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