Understanding Logistic Models and Cell Phone Growth

The video tutorial covers in-class activity 11C, focusing on the historical prediction of cell phones by C. Clarke and the growth of cell phone usage in the U.S. It explores the logistic model, its parameters (L, B, C), and their effects on growth curves. The lesson includes practical graphing activities and concludes with a reflection on logistic models' applicability to real-world scenarios.

What year did C. Clarke predict the concept of a personal transceiver?

• 1987

• 1947

• 2013

• 1959

By 2013, what percentage of American adults owned at least one cell phone?

• 70%

• 100%

• 90%

• 50%

What is a key characteristic of a logistic model?

• Exponential growth

• Growth to a limit

• No growth

• Linear growth

In a logistic model, what does the parameter 'L' represent?

• Carrying capacity

• Time

• Growth rate

• Initial population

What happens to the logistic curve as the value of 'L' decreases?

• It disappears

• It remains unchanged

• It shrinks

• It stretches

How does the value of 'B' affect the logistic curve?

• Shifts the curve horizontally

• Has no effect

• Alters the growth rate

• Changes the carrying capacity

What is the significance of the inflection point in a logistic curve?

• It shows the end of growth

• It indicates maximum growth rate

• It marks the start of growth

• It is irrelevant

Why might a logistic model not perfectly describe the number of cell phones in the U.S.?

• Population is static

• Population size changes

• Everyone has only one phone

• Phones are not used

What does the parameter 'C' influence in a logistic model?

• Carrying capacity

• Inflection point

• Growth rate

• Initial population

What is the upper limit for the percentage of cell phone users in a logistic model?

• 50%

• 90%

• 75%

• 100%