Kilograms and gestation period

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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

400

30

Lion

200

17

Wolf

34

9

Badger

12

8

Rabbit

2

4.5

Squirrel

0.5

3.5

Table 2

Species

Gestation period (weeks)

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.

Reference no: EM13966193

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