t the beginning of this chapter we discussed a study by Judge and Cable (2010) demonstrating a positive relationship between weight and income for a group of men. The following are data similar to those obtained in the study. To simplify the weight variable, the men are classified into five categories that measure actual weight relative to height, from 1 5 thinnest to 5 5 heaviest. Income is recorded as thousands earned annually. a. Calculate the Pearson correlation for these data. b. Is the correlation statistically significant? Use a two-tailed test with a 5 .05. Weight (X) Income (Y) 4 151 5 88 3 52 2 73 1 49 3 92 1 56 5 143
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.
At the beginning of this chapter we discussed a study by Judge and Cable (2010) demonstrating a positive relationship between weight and income for a group of men. The following are data similar to those obtained in the study. To simplify the weight variable, the men are classified into five categories that measure actual weight relative to height, from 1 5 thinnest to 5 5 heaviest. Income is recorded as thousands earned annually. a. Calculate the Pearson
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