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         A. 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.                   B. Use technology to find the equation for the least squares line for predicting a mammal's gestation period (y) from its longevity (x).     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 underpredicted the gestation for a baboon in part (c).

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.

A. 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.

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

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 underpredicted the gestation for a baboon in part (c).

E. Use the original least squares line to predict the gestation period of a 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 decides to randomly select 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   Be sure to complete all of the necessary steps of the hypothesis test.  No need to show work for calculations.

H. Estimate the average gestation period of a mouse using a 95% confidence interval, and interpret your answer