Suppose you are interested in the role of social support in immune function among retired men who live alone. You ask 50 patients to record the number of days they do not see or interact with a friend or family member over a period of 1 month to see whether the number of nonsocial days in a typical month correlates with the number of new lnesses they experience per year. You decide to use the computational formula to calculate the Pearson correlation between the number of nonsocial days in a month and the number of illnesses per year. To do so, you call the number of nonsocial days in a month X and the number of illnesses per year Y. Then, you add up your data values (EX and N. add up the squares of your data values (X² and Y®, and add up the products of your data values (CXY). The followin table summarizes your results: EX ΣΥ ΣΧΥ ΣΧ ΣΥΓ 590 380 4,887 10,456 4.258 Find the following values: The sum of squares for the number of illnesses per year is SSY= a) 380 b)590 c) 3494 d)10456 The sum of squares for the number of nonsocial days in a month is SSX= a) 380 b)590 c)1370 d)425 The sum of products for the number of nonsocial days in a month and the number of illnesses per year SP = a) 403 b) 4258 c)-403 d)590 The Pearson correlation coefficient is r= a) 0.07 b)0.18 c)-0.18 d)0.82
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.
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