You have recorded the height and weight of 27 people. Suppose that your data meet the assumptions of correlation (data are normally distributed for both variables). You find that the Pearson correlation coefficient r = 0.4. Test whether height and weight are significantly correlated. Show your work. What is the critical value for this test? Write your complete finding with all statistical details.
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.
- You have recorded the height and weight of 27 people. Suppose that your data meet the assumptions of
correlation (data arenormally distributed for both variables). You find that the Pearsoncorrelation coefficient r = 0.4. Test whether height and weight are significantly correlated. Show your work.- What is the critical value for this test?
- Write your complete finding with all statistical details.
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