Chapter 5.1, Problem 16E

Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States.

Year	$1975$	$1980$	$1985$	$1990$	$1995$	$2000$
$C$	$9.8$	$17.5$	$35.4$	$50.5$	$60.6$	$60.6$

a. Use regression to find a logistic model for these data.

b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors?

c. The estimated number of subscribers in $2005$ was $65.3\text{million}$. What light does this shed on the model you found in part a?