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 194 218 243 261 275 291 (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 Ir| > 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.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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