Research and Development The amounts (inbillions of dollars) the U.S. federal government spenton research and development for defense from 2010through 2014 can be approximated by the modely = 0.5079t2 − 8.168t + 95.08where t represents the year, with t = 0 correspondingto 2010. (Source: American Association for theAdvancement of Science)(a) Use a graphing utility to graph the model.(b) Find the average rate of change of the model from2010 to 2014. Interpret your answer in the contextof the problem.
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.
Research and Development The amounts (in
billions of dollars) the U.S. federal government spent
on research and development for defense from 2010
through 2014 can be approximated by the model
y = 0.5079t2 − 8.168t + 95.08
where t represents the year, with t = 0 corresponding
to 2010. (Source: American Association for the
Advancement of Science)
(a) Use a graphing utility to graph the model.
(b) Find the average rate of change of the model from
2010 to 2014. Interpret your answer in the context
of the problem.
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