Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Use x=82 (for 820,000 registered boats) with a 99% confidence level. Boats (tens of thousands) Manatees 65 55 68 39 64 34 71 48 68 40 73 59 74 54 84 66 80 82 83 77 92 81 90 94 93 74 96 68 97 81 97 92 96 75 94 91 98 96 93 84 90 88 86 81 93 75 87 70
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.
Use the accompanying paired data consisting of registered boats (tens of thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction
| Boats (tens of thousands) | Manatees |
| 65 | 55 |
| 68 | 39 |
| 64 | 34 |
| 71 | 48 |
| 68 | 40 |
| 73 | 59 |
| 74 | 54 |
| 84 | 66 |
| 80 | 82 |
| 83 | 77 |
| 92 | 81 |
| 90 | 94 |
| 93 | 74 |
| 96 | 68 |
| 97 | 81 |
| 97 | 92 |
| 96 | 75 |
| 94 | 91 |
| 98 | 96 |
| 93 | 84 |
| 90 | 88 |
| 86 | 81 |
| 93 | 75 |
| 87 | 70 |
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