In water-resources engineering, the sizing of reservoirs depends on accurate estimates of water flow in the river that is being impounded. For some rivers, long term historical records of such flow data are difficult to obtain. In contrast, meteorological data on precipitation are often available for many years past. Therefore, it is often useful to determine a relationship between flow and precipitation. This relationship can then be used to estimate flows for years when only precipitation measurements are made. The following data are available for a river that is to be dammed: Precip (cm/yr) 89.0 108.2 104.1 139.7 |127.0 94.0 116.8 99.1 Flow (m^3/s) 14.1 17.0 15.3 23.2 19.5 16.1 18.1 16.6 1) What is the least-squares regression line for the given data? Plot the linear regression curve along with the given data. 2) Using the best-fit line, what is the prediction of the annual water flow if the precipitation is 122 cm? Choices 27.175 19.411 18.44 21.352
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.
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