The following table shows the approximate number of wireless telephone subscriptions in a certain country for recent years. (A graphing calculator is recommended.) Wireless Telephone Subscriptions Year 2005 2006 2007 2008 2009 2010 Subscriptions, in millions 192 218 244 265 275 294 (a) Find the linear correlation coefficient for the data. (Round your answer to three decimal places.) (b) On the basis of the value of the linear correlation coefficient, would you conclude, at the |r| > 0.9 level, that the data can be reasonably modeled by a linear equation? Explain O Yes, the correlation coefficient is very close to 0, which indicates a near perfect linear correlation. O Yes, the correlation coefficient is very close to 1, which indicates a near perfect linear correlation. O Yes, the correlation coefficient is very close to -1, which indicates a near perfect linear correlation. O No, the correlation coefficient is negative, which indicates no linear correlation. O No, the coefficient has no effect on the linear correlation.
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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