For a particular multiple linear regression analysis, there are five predictor variables. A sample of size 37 is obtained on the five predictor variables and the response variable. It is found that SST = 1256 and SSE = 372. a. Construct the analysis of variance table for the analysis. b. Find R2 and interpret its value. c. Find the standard error of the estimate, se. d. At the 5% significance level, do the data provide sufficient evidence to conclude that the five predictor variables taken together are useful for predicting the response variable? e. State how useful you feel the regression equation is for making predictions about the response 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.
For a particular multiple linear
a. Construct the analysis of variance table for the analysis.
b. Find R2 and interpret its value.
c. Find the standard error of the estimate, se.
d. At the 5% significance level, do the data provide sufficient evidence to conclude that the five predictor variables taken together are useful for predicting the response variable?
e. State how useful you feel the regression equation is for making predictions about the response variable.
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