Population Growth - Quadratic or Exponential ? What will the population be in 3000?

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Presentation transcript:

Population Growth - Quadratic or Exponential ? What will the population be in 3000?

Collect Data 1. Go to internet Try popclock or 2. Pick a State 3. Find Population for years Let x=0=1900, x=1=1910

Plotting Manually 1. Graph all ordered pairs. 2. X-values represent the years. 3. Y-values represent the population. 4. Connect the curve with a smooth, continuous motion.

Plotting Using the TI-83 Key Strokes 1. List 1 & 2 2. Stat Plot 3. Zoom Stat 5. Stat 6. Quit 7. Calc 8. Regression 9. Y1 10. Vars EQ 12. Reg EQ

What Happened? 1. A Quadratic Regression ? 2. An Exponential Regression?

Line of Best Fit Really, there’s not much difference. Can both answers be correct? Oh, me, oh my - no wonder math is hard!

Predictions According to these models, what might the population be in 3000? 1. Try putting ____ in for x in both equations? 2. Why that number? 3. What could effect this model?