The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round all values to three decimal places. Year Users(in millions) 2004 1 2005 6 2006 12 2007 58 2008 145 2009 360 2010 608 2011 845 2012 1056
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.
The number of Facebook users for each year from 2004 to 2016 can be found in the table below. Round all values to three decimal places.
Year Users(in millions)
2004 1
2005 6
2006 12
2007 58
2008 145
2009 360
2010 608
2011 845
2012 1056
2013 1230
2014 1440
2015 1710
2016 2000
Using years since 2000, do both exponential and logistic regression and be sure to graph them and compare them to the scatterplot of the data.
What model is the best fit to the data?
exponential
logistic
What is the equation of the best fit model?
What is the equation of the best fit model?
Is that value reasonable or not? Explain why.
- Yes, the answer is reasonable.
- No, the answer is not reasonable.
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