Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. The regression line equation is y′=−27.895+1.001x. The standard error of the estimate is sest( standard error of the estimate)=12.37. Find the 95% interval when x=63. Round intermediate answers to three decimal places. Round your final answers to two decimal places as needed. Number of fires x 47 84 62 57 45 72 69 Number of acres burned y 26 51 15 30 15 62 42 One can be 95%confident that the interval < y < contains the actual value of y.
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.
Forest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 7 recent years are shown. The regression line equation is y′=−27.895+1.001x. The standard error of the estimate is sest( standard error of the estimate)=12.37. Find the 95% interval when x=63. Round intermediate answers to three decimal places. Round your final answers to two decimal places as needed.
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| One can be 95%confident that the interval < y <
contains the actual value of y.
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