Wireless Telephone Subscriptions Year 2005 2006 2007 2008 2009 2010 Subscriptions, in millions 194 218 244 261 275 292 (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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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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
244
261
275
292
(a) Find the linear correlation coefficient for the data. (Round your answer to three decimal places.)
r =
(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.
Transcribed Image Text: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 194 218 244 261 275 292 (a) Find the linear correlation coefficient for the data. (Round your answer to three decimal places.) r = (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.
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