The table to the right shows a country's gross domestic expenditures on research and development (in billions of U.S. dollars). Year R-and-D spending (a) Let x=4 correspond to the year 2004. Plot the data points and use quadratic regression to find a function that models the data. (b) Use the model 2004 58.1 estimate the expenditures in the year 2012. 2005 75.3 2006 88.1 2007 96.2 2008 123.3 2009 148.8 2010 173.5 (a) Plot the data points. Choose the correct graph below. All graphs are shown in a [0,10,1] by (0,200,20] viewing window. O A. OB. Oc. OD. Q Q
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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