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The Barbie Bungee Jump

October_21_2008-14

Explanation of the experimental procedure
1. The first step of this activity is to attach different amounts of rubber bands to the Barbie (or Ken doll) in bungee-jump fashion. First, attach 2 rubber bands, then 4, 6, 8, and 10.
October_21_2008-6

2. The doll was dropped from a certain marked point.
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3. Once the doll is dropped, the group was to find the lowest point the doll reaches when dropped.
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This scatter plot shows the results of the experiment.













In this diagram, the y-axis represents the distance the doll traveled from its initial point (in centimeters).

The r-value shown (.99) is a representation of how close the line-of-best-fit is to the actual points. The line of best fit is a straight line that is as close to all the plots on a graph as possible. The closer the r-value is to 1, the closer the line of best fit is to the plotted points.

The slope of this equation is as follows: y=21.17x + 33.27

Predict the number of rubber bands needed for Barbie to jump from a height of 400 cm.
To answer this question, simply input 400 cm into the y of the equation, because the y value represents how high the drop is.
Once completed, the answer I've come with is about 17 rubber bands.
This means that Barbie can safely bungie jump with 17 rubber bands from a height of 400 cm.

2 comments:

Anonymous said...

hi johnn :)
well. your points are all on the same graph. and the y and x axises are right, so that's good. and i understand why rubber bands are x and blah blah blah. and your slope is between 10 and 40 cm per rubber band. and you solved the problem!
so you're good!
i'm freakin out!
love, gabby

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