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.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
243
261
275
291
(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 |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.
Yes, the correlation coefficient is very close to 1, which indicates a near perfect linear correlation.
Yes, the correlation coefficient is very close to –1, which indicates a near perfect linear correlation.
No, the correlation coefficient is negative, which indicates no linear correlation.
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 194 218 243 261 275 291 (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 |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. Yes, the correlation coefficient is very close to 1, which indicates a near perfect linear correlation. Yes, the correlation coefficient is very close to –1, which indicates a near perfect linear correlation. No, the correlation coefficient is negative, which indicates no linear correlation. No, the coefficient has no effect on the linear correlation.
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