The following are the data on the ages and incomes of a random sample of 10 executives working for in ABC Corporation and their academic achievements in college. Income Age (In thousand Pesos), y (in years), x 81.7 38 73.3 30 89.5 46 79.0 40 69.9 32 54.3 50 34.6 34 75.2 60 63.8 56 39.0 29 a) Find the equation of the trend of the data below using Pearson Product Moment of Correlation. Follow the flow of solution as discussed. b) Use the equation obtained to estimate the average income of a 35 year-old employee.
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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