Fill in the blanks. a. Consider a regression model with two predictor variables, x1 and x2. If there is multicollinearity between x1 and x2, then a scatterplot of x1 versus x2 will lie approximately in a _______. b. If the scatterplot of points in three-dimensional space for predictor variables x1, x2, and x3 falls approximately in a plane, we say the three predictor variables exhibit _______. c. The presence of ________ can greatly increase the estimated standard deviations of the regression coefficients.
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.
Fill in the blanks.
a. Consider a regression model with two predictor variables, x1 and x2. If there is multicollinearity between x1 and x2, then a
b. If the scatterplot of points in three-dimensional space for predictor variables x1, x2, and x3 falls approximately in a plane, we say the three predictor variables exhibit _______.
c. The presence of ________ can greatly increase the estimated standard deviations of the regression coefficients.
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