The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) 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 Is there a linear association between mammals’ gestation and longevity?Make an accurate sketch of a scatterplot and state the correlation coefficient (r) to justify your answer. Use technology to find the equation for the least squares line for predicting a mammal's gestation period (y) from its longevity (x). Use the least squares line to calculate the predicted gestation for a baboon.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

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The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006.

Mammal	Gestation, y(days)	Longevity, x(years)	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

Is there a linear association between mammals’ gestation and longevity?Make an accurate sketch of a scatterplot and state the correlation coefficient (r) to justify your answer.

Use technology to find the equation for the least squares line for predicting a mammal's gestation period (y) from its longevity (x).

Use the least squares line to calculate the predicted gestation for a baboon.

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).

Use the original least squares line to predict the gestation period of a human being, assuming a longevity of 75 years.

Why does your answer for part (e) differ so much from the average gestation period of a human (280 days)?

A biologist believes that the gestation period for a mouse is not 21 days, as reported. She decides to randomly select 35 mice and record their gestation times, in days. The results are given in the following table:

22	21	22	20	19	20	23	24	20
24	24	20	20	24	23	23	21	22
20	22	22	23	21	22	23	21	20
21	22	22	24	21	24	21	22

Is there evidence to suggest that the average gestation period for a mouse is different from 21 days?Use Be sure to complete all of the necessary steps of the hypothesis test. No need to show work for calculations.