Reference no: EM132495040
For women, pregnancy lasts about 9 months (278 days). In other species of animals, the length of time from conception to birth varies. A biologist wants to use life expectancy to predict gestation period. Given below are the life expectancy (in years) and the gestation period (in days) for 18 species of mammals.
Anima / l Life Expectancy in Years / Gestation in days
Ass / 19 / 365
Cat 11 63
Cow 10.5 280
Dog 11 62
Elephant 35 624
Fox 9 57
Goat 12 151
Guinea Pig 3 88
Hamster 2 16
Hippo 30 240
Horse 22.5 336
Lion 10 108
Human 81 278
Pig 10 115
Rabbit 7 31
Sheep 12 151
Squirrel 8.5 44
Wolf 11 61
b) Find the slope and y-intercept of the regression line.
c) What is the equation of the regression line in this problem?
e) What does the value of the slope tell you about the relationship life expectancy and gestation period for mammals?
f) What is the value of r? Explain what the value tells you about the relationship between life expectancy and gestation period.
h) Is there reasonable justification for removing humans from the data set?
j) What is the slope of the new line for nonhuman species? What is the y-intercept of the new line?
k) What is the regression line for nonhuman species?
m) What is the value of r for the new line using the 17 nonhuman species?
n) Some species of monkeys have a life expectancy of about 20 years. What is the predicted gestation period of one of these monkeys? Round your answer to the hundredths place.
o) Compare the r value for the original regression analysis which included humans to the regression using only nonhuman species. Which set of data indicates a stronger linear relationship between life expectancy and gestation period?
p) Do you think that humans were an outlier? Do you think humans were an influential observation?
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