Gestation Period versus Life Expectancy A researcher would like to develop a linear model relating the gestation period of an animal, G, and its life expectancy, L. She collects the following data. Let G represent the independent variable and L the dependent variable.
Animal | Gestation (or incubation) Period, G(days) | Life Expectancy, L (years) |
Cat | 63 | 11 |
Chicken | 22 | 7.5 |
Dog | 63 | 11 |
Duck | 28 | 10 |
Goat | 151 | 12 |
Lion | 108 | 10 |
Parakeet | 18 | 8 |
Pig | 115 | 10 |
Rabbit | 31 | 7 |
Squirrel | 44 | 9 |
Source: Time Almanac 2007
(a) Use a graphing utility to draw a scatter diagram.
(b) Use a graphing utility to find the line of best fit that models the relation between gestation period and life expectancy. Express the solution using function notation.
(c) Interpret the slope.
(d) Predict the life expectancy of an animal whose gestation period is 89 days.
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