The data below is 14 observations of hog heart girth (in) (x) and hog weight (lb) (y). Calculate the linear correlation coefficient, r. Enter your answers to two decimal places. X (in) Y (lbs) 47 296 35 219 32 83 36 184 31 157 38 128 43 285 34 126 42 242 40 231 37 232 39 181 41 163 46 228 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.
The data below is 14 observations of hog heart girth (in) (x) and hog weight (lb) (y). Calculate the linear
| X (in) |
Y (lbs) |
|---|---|
| 47 | 296 |
| 35 | 219 |
| 32 | 83 |
| 36 | 184 |
| 31 | 157 |
| 38 | 128 |
| 43 | 285 |
| 34 | 126 |
| 42 | 242 |
| 40 | 231 |
| 37 | 232 |
| 39 | 181 |
| 41 | 163 |
| 46 | 228 |
r =
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