Q2) Annual rainfall and runoff values of a catehment for a period of 10 years are given below. Analyze the data to (a) develop a non-linear correlation equation to estimate anmal runoff volume for a given annual rminfall value, (b) Estimate r values for the equation, (e) Estimate the runoff depth when the rainfall depth is (i) 350 mm (ii) 600 mm. Year Anrual Rainfall (mm) 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 361 408 217 324 510 488 275 392 296 420 Anrual Runoff 145 160 90 130 205 195 110 157 120 165 (mm)
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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