The number of satellite and telecommunications subscribers continues to grow over the years. The following table gives the number of subscribers (in millions) from 2006 through 2010.

Question

The number of satellite and telecommunications subscribers continues to grow over the years. The following table gives the number of subscribers (in millions) from 2006 through 2010.

Year	2006	2007	2008	2009	2010
Number, y	29.4	32.2	34.8	37.7	40.4

(a) Letting x = 0

 denote 2006, find an equation of the least-squares line for these data.

y = 

 

(b) Use the result of part (a) to estimate the average rate of growth of the number of subscribers between 2006 and 2010.

 million subscribers per year

Answer 1

Sa T

If you are using a TI-84

Enter 2006, 2007, 2008, 2009, 2010 in list 1

(STAT 1).

Enter 29.4 .... in list 2

STAT CALC 4

XList should be L1

YList should be L2

FreqList should be empty

Go down to calculate and press enter

a= 2.75

b = -5487.1

r = 0.9999 (so nearly perfect correlation).

So model is : y = 2.75 year - 5487.1

In part (b) you just need the slope of the above line, which will be 2.75

Mike