A rabbit matures at 6 months, and has a gestation period of 30 days (call it one month) with a 4 week time lapse after birth to become fertile again (call it one month). We will assume that we start with one breeding pair of rabbits and that each litter contains 10 rabbits, half of which are female. Such a population of rabbits increases as shown in the table below. Month: 0 1 2 3 4 5 6 7 8 9 10 11 12 Population: 2 12 12 22 22 32 32 92 92 202 202 362 362
3. Explain the pros and cons of using a linear function to model the growth of the rabbit population.
The advantage of using a linear function to model the growth of the rabbit population is the simplicity and mathematical model. Standard statistical procedure alongwith software packages are readily available for deriving the slope and intercept of the linear function from the data.
The disadvantage of using a linear function to model the growth of the rabbit population is that the model is applicable only to a certain period of time. As we know the growth of a rabbit population is linear only to a certain extent, beyond which the prediction becomes more complex because of a number of constraints.
A rabbit matures at 6 months, and has a gestation period of 30 days (call it one month) with a 4 week time lapse after b...
A rabbit matures at 6 months, and has a gestation period of 30 days (call it one month) with a 4 week time lapse after birth to become fertile again (call it one month). We will assume that we start with one breeding pair of rabbits and that each litter contains 10 rabbits, half of which are female. Such a population of rabbits increases as shown in the table below. Month: 0 1 2 3 4 5 6 7 8...
A rabbit matures at 6 months, and has a gestation period of 30 days (call it one month) with a 4 week time lapse after birth to become fertile again (call it one month). We will assume that we start with one breeding pair of rabbits and that each litter contains 10 rabbits, half of which are female. Such a population of rabbits increases as shown in the table below. Month: 0 1 2 3 4 5 6 7 8...
A rabbit matures at 6 months, and has a gestation period of 30 days (call it one month) with a 4 week time lapse after birth to become fertile again (call it one month). We will assume that we start with one breeding pair of rabbits and that each litter contains 10 rabbits, half of which are female. Such a population of rabbits increases as shown in the table below. Month: 0 1 2 3 4 5 6 7 8...