Correlation and Regression Analysis Determine the direction of relationship between the following pairs of variables. Is it positive, negative, or zero? Speed and mileage of a car Extent of fatigue and performance in a speed test Income and educational attainment of employees Sense of humor and shoes size of persons Ages of husbands and wives Given the value of 5, describe the relationship in terms of strength and direction. R = 0.86 R = 0.35 R = 0.65 R = -0.56 R = 0.72
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.
Determine the direction of relationship between the following pairs of variables. Is it positive, negative, or zero?
- Speed and mileage of a car
- Extent of fatigue and performance in a speed test
- Income and educational attainment of employees
- Sense of humor and shoes size of persons
- Ages of husbands and wives
Given the value of 5, describe the relationship in terms of strength and direction.
- R = 0.86
- R = 0.35
- R = 0.65
- R = -0.56
- R = 0.72
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