Here is a bivariate data set. x y 18 20 -5 106 24 4 26 -42 29 71 24 7 46 111 51 198 36 -51 29 -6 Find the correlation coefficient and report it accurate to four decimal places. r =
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.
Here is a bivariate data set.
| x | y |
|---|---|
| 18 | 20 |
| -5 | 106 |
| 24 | 4 |
| 26 | -42 |
| 29 | 71 |
| 24 | 7 |
| 46 | 111 |
| 51 | 198 |
| 36 | -51 |
| 29 | -6 |
Find the
r =
Objective: To find the Correlation coefficient r for a bivariate data set.
Correlation: Correlation explains that measurement of association between two variables
Here, one variable is dependent variable and another one is independent variable.
Formulae:
The formula for Correlation coefficient is
Where X-bar is the mean of X
Y-bar is the mean of Y
Sx is standard deviation of X
Sy is standard deviation of Y
n is sample size
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