A sample of 25 blue-collar employees at a production plant was taken. Each employee was asked to assess his/her own job satisfaction (x) on a scale of 1 to 10. In addition, the numbers of days absent (y) from work during the last year were found for these employees. The data is given below: 786 6 5 42 10 y 314 5569 a) Estimate the linear regression of the numbers of days absent on job satisfaction. Interpret your results. b) Test the significance of the slope of the population regression line at 10% significance level. Interpret your results. c) Find and interpret the coefficient of determination. 2 8 35 567 8 9 8 76 65 89 10 9 3 9 56 4 3 2 1 1 1455 530
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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