Question

Predict the average lifespan in years when the incubation/gestation time is 12 months

Animal                            Average Lifespan(in years)                       Incubation/Gestation (in Months)

Nile Crocodile                            100                                                                     3

Aldabra Giant Tortoise               152                                                                     8

Lake Sturgeon                            152                                                                     0.25

Galapagos Tortoise                   177                                                                      4.7

Bowhead Whale                        211                                                                     13.5

Answer 1

Sum of X = 29.45
Sum of Y = 792
Mean X = 5.89
Mean Y = 158.4
Sum of squares (SS_X) = 103.942
Sum of products (SP) = 569.52

Regression Equation = ŷ = bX + a

b = SP/SS_X = 569.52/103.94 = 5.4792

a = M_Y - bM_X = 158.4 - (5.48*5.89) = 126.1275

ŷ = 5.4792X + 126.1275

So for X=12, ŷ = (5.4792*12) + 126.1275=191.8779