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=81 (for 810,000 registered boats) with a 99% confidence level. Boats (tens of thousands) Manatees 69 52 67 37 65 33 71 48 74 42 74 61 79 55 78 68 81 80 85 80 90 80 90 97 97 73 93 68 98 79 98 90 99 74 100 88 93 96 92 85 90 88 85 79 91 74 93 67 Find the indicated prediction interval. __manatees
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
69 52
67 37
65 33
71 48
74 42
74 61
79 55
78 68
81 80
85 80
90 80
90 97
97 73
93 68
98 79
98 90
99 74
100 88
93 96
92 85
90 88
85 79
91 74
93 67
Find the indicated prediction interval.
__manatees<y<__manatees
(Round to three decimal places as needed.)
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