Pre-Calc          9/15            Hour ____                               Name ___________________

 

Domino Topple Activity

 

Several years ago a group of college students in Europe attempted to break the record for the most dominos toppled.  They set up 1,500,000 dominos in a large arena.  After the dust cleared they managed to topple 1,382,101 dominos.  How long did it take to topple all those dominos?

To set up how to find the answer, we will conduct several domino-toppling experiments and time each one with a stopwatch.

 

The experiments will include domino topples of 40, 60, 80, 100, 120, 130, and 150 dominos.

Each group will be given a bag of dominos.  You are to take as many time trials as possible and take the average to report to the class.

Number of Dominoes: __________

 

Record your trials in the table below:

Trail

1

2

3

4

5

6

7

8

Time

 

 

 

 

 

 

 

 

 

Average time: ________            

Record the class data below:

Dominoes

40

60

80

100

120

130

150

Time

 

 

 

 

 

 

 

 

1)      Enter the class data into your graphing calculator.

2)    Find both the linear regression and the med-med regression using your calculator.  Indicate them in the space provided.

 

Linear Regression: _______________________          Med-Med Regression: _______________

 

3)    Find the mean absolute errar and root mean squared error for both regressions:

 

Linear mean absolute errar ________       Med-Med mean absolute errar __________

 

Linear root mean squared error ______          Med-med root mean squared error _______

 

4)    State which equation is the better one and why.

 

5) Predict how long it took to topple the 1,382,101 dominos using both equations.  Which one seems to be the most reasonable?