IB MATH METHODS

1. Take a handful of M&Ms and count how many there are. This is trial 0
2. Pick up the candies in both hands, shake them up and drop them. Count the pieces that have the M (or S) facing upwards. Eat those that do not
3. Place the number of candies you have left after your first trial in the table
4. Repeat the trials until there are no candies left. Make sure to keep record of the trial number and the amount of candies left after each trial

(Note: Delete the last data point (where the amount of candy = 0). Do not use it in your analysis. Explain Why.

5. Find a least-squares line that relates log y to the trial number
6. Using the laws of logarithm, find an exponential function in the form of Y=ab^x that best fits the data
7. Graph your data collected in the table showing predicted and actual number of M&Ms for each trial on the same axes.
8. Find the error between the predicted values and the actual data
9. Find the mean of the square error.
10. How effective is your model? How do changes to the variable b effect the mean square error? What could effect the accuracy of your model? Comment on possible limitations of your results