Are the years of education of a child dependent on the years of education of their parent? The table shows the number of years of education of parent and the number of years of education of their child. Years of Education of Parent 13 9 7 12 12 10 11 Years of Education of their Child 13 11 7 16 17 9 17 Determine the correlation coefficient and briefly describe the relationship between the two variables. Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the p-value? What is the test statistic?
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.
Are the years of education of a child dependent on the years of education of their parent? The table shows the number of years of education of parent and the number of years of education of their child.
Years of Education of Parent |
13 |
9 |
7 |
12 |
12 |
10 |
11 |
Years of Education of their Child |
13 |
11 |
7 |
16 |
17 |
9 |
17 |
Determine the
Conduct a hypothesis test to determine if there is a significant
What is the p-value?
What is the test statistic?
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