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It is believed that the average size of a mammal species is a major factor in the period of gestation (the period of development in the uterus from conception until birth). In general, it is observed that the bigger the mammal is, the longer the gestation period. Table 1 gives adult mass in kilograms and gestation period in weeks of some species (source: https://www.saburchill.com/chapters/chap0037.html).
Table 1
Species
Adult mass (kg)
Gestation period (weeks)
African elephant
6000
88
Horse
400
48
Grizzly bear
30
Lion
200
17
Wolf
34
9
Badger
12
8
Rabbit
2
4.5
Squirrel
0.5
3.5
Table 2
Indian elephant
89.0
Camel
57.0
Sea lion
51.4
Dog
8.7
Rat
3.0
Hamster
2.3
(a) Calculate the least-squares regression line for these data with adult mass as the independent variable.
(b) Plot the points and the least-squares regression line on the same graph.
(c) Calculate the least-squares regression line for these data with gestation period as the independent variable.
(d) Assuming that the regression model of part (c) holds for all mammals, estimate the adult mass in kilograms for the mammals given in Table 2.
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