625 500 375 250 125 7.5 15.0 22.5 30.0 Life Expectancy (yr) Dependent variable is: Gestation R-Squared = 72.2% Variable Coefficient Constant -39.5172 LifExp 15.4980 Gestation (days)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 6E
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Gestation For women, pregnancy lasts about 9 months.
In other species of animals, the length of time from
conception to birth varies. Is there any evidence that
the gestation period is related to the animal’s lifespan?
The first scatterplot shows Gestation Period (in
days) vs. Life Expectancy (in years) for 18 species
of mammals. The highlighted point at the far right
represents humans.

a) For these data, r = 0.54, not a very strong relation-
ship. Do you think the association would be
stronger or weaker if humans were removed?
Explain.
b) Is there reasonable justification for removing humans
from the data set? Explain.
c) Here are the scatterplot and regression analysis for the
17 nonhuman species. Comment on the strength of the
association.d) Interpret the slope of the line.
e) Some species of monkeys have a life expectancy of
about 20 years. Estimate the expected gestation period
of one of these monkeys.
625
500
375
250
125
7.5
15.0
22.5 30.0
Life Expectancy (yr)
Dependent variable is: Gestation
R-Squared = 72.2%
Variable
Coefficient
Constant
-39.5172
LifExp
15.4980
Gestation (days)
Transcribed Image Text:625 500 375 250 125 7.5 15.0 22.5 30.0 Life Expectancy (yr) Dependent variable is: Gestation R-Squared = 72.2% Variable Coefficient Constant -39.5172 LifExp 15.4980 Gestation (days)
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