A sociologist is investigating the relationship between job satisfaction and work-life balance. For a sample of 18 individuals, the following data is obtained: Job Satisfaction: M = 4.0 SS = 16.0 Work-Life Balance: M = 6.0 SS = 134.0 SP = 32.0 a. Compute the correlation between Job Satisfaction and Work-Life Balance. b. Describe the nature of the relationship between these two variables. c. Compute the coefficient of determination. What does this value tell you? d. Conduct a hypothesis test using an alpha level of α = .01 to determine if the correlation is significant. Include all steps.
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.
A sociologist is investigating the relationship between job satisfaction and work-life balance. For a sample of 18 individuals, the following data is obtained:
Job Satisfaction: M = 4.0 SS = 16.0
Work-Life Balance: M = 6.0 SS = 134.0 SP = 32.0
a. Compute the
b. Describe the nature of the relationship between these two variables.
c. Compute the coefficient of determination. What does this value tell you?
d. Conduct a hypothesis test using an alpha level of α = .01 to determine if the correlation is significant. Include all steps.
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