The following table shows the number, in millions, of cell phone subscribers C in the United States at the end of the given year t. Year Subscribers (millions) 2005 207.9 2006 233.0 2007 255.4 2008 270.3 2009 285.6 (a) Plot the data points. (Let t be years since 2005 and C be the number of cell phone subscribers, in millions.) (b) Use exponential regression to construct an exponential model for the subscriber data. (Let t be years since 2005 and C be the number of cell phone subscribers, in millions.) ______ (c) Add the graph of the exponential model to the plot in part (a). (d) What was the yearly percentage growth rate from the end of 2005 through the end of 2009 for cell phone subscribership? (Use the model found in part (b). Round your answer to one decimal place.) ______%
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.
For this exercise, round all regression parameters to three decimal places.
The following table shows the number, in millions, of cell phone subscribers C in the United States at the end of the given year t.
| Year | Subscribers (millions) |
|---|---|
| 2005 | 207.9 |
| 2006 | 233.0 |
| 2007 | 255.4 |
| 2008 | 270.3 |
| 2009 | 285.6 |
______%
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