U.S. Energy Consumption Energy consumptionin the United States in quadrillion BTUs can bemodeled by C(x) = -0.013x2 + 1.281x + 67.147,where x is the number of years after 1970.a. One solution to the equation 87.567 = -0.013x2 +1.281x + 67.147 is x = 20. What does thismean?b. Graphically verify that x = 20 is a solution to87.567 = -0.013x2 + 1.281x + 67.147.c. To find when after 2020 U.S. energy consumptionwill be 87.567 quadrillion BTUs according to themodel, do we need to find the second solution tothis equation? Why or why not?
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.
U.S. Energy Consumption Energy consumption
in the United States in quadrillion BTUs can be
modeled by C(x) = -0.013x2 + 1.281x + 67.147,
where x is the number of years after 1970.
a. One solution to the equation 87.567 = -0.013x2 +
1.281x + 67.147 is x = 20. What does this
mean?
b. Graphically verify that x = 20 is a solution to
87.567 = -0.013x2 + 1.281x + 67.147.
c. To find when after 2020 U.S. energy consumption
will be 87.567 quadrillion BTUs according to the
model, do we need to find the second solution to
this equation? Why or why not?
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