Use the following data and scenario to answer the questions. You are interested in whether there is a relationship between the amount of exercise and the number of hours one sleeps. You collect the following data and conduct a correlational analysis to assess if there is a relationship the strength of the relationship. You hypothesize that there is a relationship between the amount of exercise and the number of hours one sleeps. Does the amount of exercise relate to hours of sleep? Is there a strong, moderate, or weak correlation with the following data? Is there a positive or negative relationship? What is the R (Pearson Roe Correlation Coefficient) for the data? Amount of exercising in hours per week Average hours of sleep 6 8 9 10 6 9 4 5 5 4 5 5 5 5 3 3 5 5 4 3 3 3 2 3 2 4 3 4 3 3 4 4 5 6 5 6 6 7 6 7 7 8 7 8 7 8 8 7 0 4 0 4 1 4 2 4 3 3 1 3 0 3 4 4 5 6 6 7 6 7 5 5
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.
**Correlational Analysis**
Use the following data and scenario to answer the questions.
You are interested in whether there is a relationship between the amount of exercise and the number of hours one sleeps. You collect the following data and conduct a correlational analysis to assess if there is a relationship the strength of the relationship. You hypothesize that there is a relationship between the amount of exercise and the number of hours one sleeps.
Does the amount of exercise relate to hours of sleep? Is there a strong, moderate, or weak
| Amount of exercising in hours per week | Average hours of sleep |
| 6 | 8 |
| 9 | 10 |
| 6 | 9 |
| 4 | 5 |
| 5 | 4 |
| 5 | 5 |
| 5 | 5 |
| 3 | 3 |
| 5 | 5 |
| 4 | 3 |
| 3 | 3 |
| 2 | 3 |
| 2 | 4 |
| 3 | 4 |
| 3 | 3 |
| 4 | 4 |
| 5 | 6 |
| 5 | 6 |
| 6 | 7 |
| 6 | 7 |
| 7 | 8 |
| 7 | 8 |
| 7 | 8 |
| 8 | 7 |
| 0 | 4 |
| 0 | 4 |
| 1 | 4 |
| 2 | 4 |
| 3 | 3 |
| 1 | 3 |
| 0 | 3 |
| 4 | 4 |
| 5 | 6 |
| 6 | 7 |
| 6 | 7 |
| 5 | 5 |
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