In the following multiple-choice questions, select the best answer. 1. The correlation coefficient is used to determine: a. A specific value of the y-variable given a specific value of the x-variable b. A specific value of the x-variable given a specific value of the y-variable c. The strength of the relationship between the x and y variables d. None of these 2. Regression modeling is a statistical framework for developing a mathematical equation that describes how a. One explanatory and one or more response variables are related b. Several explanatory and several response variables response are related c. One response and one or more explanatory variables are related d. All of these are correct. 3. The coefficient of correlation a. Is the square of the coefficient of determination b. Is the square root of the coefficient of determination c. Is the same as r-square d. Can never be negative

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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.