Mammal Gestation, y (days) Longevity, x (years)
Baboon 187 20
Camel 406 12
Bear, black 219 18
Cat 63 12
Bear, grizzly 225 25
Chimpanzee 230 20
Bear, polar 240 20
Chipmunk 31 6
Beaver 105 5
Cow 284 15
Buffalo 285 15
Deer 201 8
Dog 61 12
Monkey 164 15
Donkey 365 12
Moose 240 12
Elephant 645 40
Mouse 21 3
Elk 250 15
Opossum 13 1
Fox 52 7
Pig 112 10
Giraffe 457 10
Puma 90 12
Goat 151 8
Rabbit 31 5
Gorilla 258 20
Rhinoceros 450 15
Guinea pig 48 4
Sea lion 350 12
Hippopotamus 238 41
Sheep 154 12
Horse 330 20
Squirrel 44 10
Kangaroo 36 7
Tiger 105 16
Leopard 98 12
Wolf 63 5
Lion 100 15
Zebra 365 15
a. Is there a linear association between mammals' gestation and longevity? Explain your answer completely. Use a scatterplot and the correlation coefficient to justify your answer.
b. Use technology to find the equation for the least squares line for predicting a mammal's gestation period (y) from its longevity (x).
y=
c. Use the least squares line to calculate the predicted gestation for a baboon.
d. Calculate the residual value for the gestation of a baboon, and state whether you overpredicted or underpredicted the gestation for a baboon in part (c).
e. Use the original least squares line to predict the gestation period of a human being, assuming a longevity of 75 years.
f. Why does your answer for part (e) differ so much from the average gestation period of a human (280 days)?