A) is there a linear association between mammals’ gestation and longevity? Explain your answer completely. Use a scatter plot 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 under predicted the gestation for a baboon in part (c). E) use the original least squares line to predict the gestation period of 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)? A biologist believes that the gestation period for a mouse is not 21 days, as reported. She decided to randomly selected 35 Mice and record their gestation times, in days. The results are given in the following table: G) is there evidence to suggest that the average gestation period for a mouse is different from 21 days? Use a=0.05. Be sure to complete all of the necessary steps of the hypothesis test. No need to show work for calculations. H) estimates the average gestation period of a mouse using a 95% confidence interval, and interpret your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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A) is there a linear association between mammals’ gestation and longevity? Explain your answer completely. Use a scatter plot 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 under predicted the gestation for a baboon in part (c). E) use the original least squares line to predict the gestation period of 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)? A biologist believes that the gestation period for a mouse is not 21 days, as reported. She decided to randomly selected 35 Mice and record their gestation times, in days. The results are given in the following table: G) is there evidence to suggest that the average gestation period for a mouse is different from 21 days? Use a=0.05. Be sure to complete all of the necessary steps of the hypothesis test. No need to show work for calculations. H) estimates the average gestation period of a mouse using a 95% confidence interval, and interpret your answer.
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AaBbCcDdEe
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AaBbCcDdEe
Heading 1
Heading 2
Title
Aa v A
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A v H v
2- A v
as reported in The World Almanac and Book of Facts 2006.
Longevity, x
(years)
Mammal
Gestation, y
Longevity, x
(years)
Mammal
Gestation, y
(days)
(days)
406
12
20
Camel
Baboon
187
63
12
219
18
Cat
Bear, black
25
Chimpanzee
230
20
Bear, grizzly
225
240
20
Chipmunk
31
Bear, polar
Cow
284
15
Beaver
105
285
15
Deer
201
8.
Buffalo
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
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
English (United States)
O Focus
I
23
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Transcribed Image Text:Mailings eferences AaBbCcDdE AaBb AaBbCcDdEe AaBbCcDdEe AaBbCcDdEe Heading 1 Heading 2 Title Aa v A No Spacing Normal A v H v 2- A v as reported in The World Almanac and Book of Facts 2006. Longevity, x (years) Mammal Gestation, y Longevity, x (years) Mammal Gestation, y (days) (days) 406 12 20 Camel Baboon 187 63 12 219 18 Cat Bear, black 25 Chimpanzee 230 20 Bear, grizzly 225 240 20 Chipmunk 31 Bear, polar Cow 284 15 Beaver 105 285 15 Deer 201 8. Buffalo 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 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 English (United States) O Focus I 23 $ % 3 4 & 5 7 8 9 E T Y U P * 00 lil
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 followin
table:
19
20
23
24
20
22
21
22
20
24
23
23
21
22
24
24
20
20
23
21
22
23
21
20
20
22
22
22
22
24
21
24
21
22
21
g. Is there evidence to suggest that the average gestation period for a mouse is different from 21 days?
Use a = 0.05. Be sure to complete all of the necessary steps of the hypothesis test. No need to show
work for calculations.
K English (United States)
O Focus
MacBook
B
#
$
3
4
&
6
8
9
E
R
Y
U
P
F
G
H
J
K
L
V
M
B
Transcribed Image Text: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 followin table: 19 20 23 24 20 22 21 22 20 24 23 23 21 22 24 24 20 20 23 21 22 23 21 20 20 22 22 22 22 24 21 24 21 22 21 g. Is there evidence to suggest that the average gestation period for a mouse is different from 21 days? Use a = 0.05. Be sure to complete all of the necessary steps of the hypothesis test. No need to show work for calculations. K English (United States) O Focus MacBook B # $ 3 4 & 6 8 9 E R Y U P F G H J K L V M B
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  1. 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).

 

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