Chapter 5.1, Problem 17E

World Population The following table shows world population N, in billions, in the given year.

Year	$1950$	$1960$	$1970$	$1980$	$1990$	$2000$	$2010$
$N$	$2.56$	$3.04$	$3.71$	$4.45$	$5.29$	$6.09$	$6.85$

a. Use regression to find a logistic model for world population.

b. What r value do these data yield for humans on planet Earth?

c. According to the logistic model using these data, what is the carrying capacity of planet Earth for humans?

d. According to this model, when will world population reach 90% of carrying capacity? Round to the nearest year.

(Note: This represents a rather naive analysis of world population.)