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## Apollo 13 Quadratic Regression Project

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By Kanishka Sundar and Jimmy ChristBlock 4
Given Chart
Graph on calculator
Question 1:what does the data look like?
Once we graphed the data we noticed that the line of the graph is descending.
Question 2: what does the x-axis represent(if you are sitting on the x-axis, where are you?)
The x-axis represented the time(in seconds)If you are sitting on the x-axis you would be on the surface of the moon.
Question 3: Does it look likeapollo13 will hit the moon?
It does indeed look like Apollo 13 will hit the moon!
Question 4: What is the value of a, B, and c?
The value of a is 3The value of b is -78The value of c is 500We did this on the calculator by finding the quadratic regression of best fit.Then calculated.
Question 5: How well does the graph fit the data points?
It fits the data points perfectly.
Question 7: Does your model tell you what happens toapollo13?(crash, touches, or pulls away before?)
We looked and found out that Apollo 13 crashes into the moon.If the x- axis is the moon, Apollo 13 goes to -7 past the x-axis.So that means Apollo 13 already hit the surface of the moon(x-axis) and crashed.
Question 8: where is the rocket at t=10 seconds?
First we took 10 seconds and plugged it in as x in the ax^2+bx=c equationThen we got the answer 20Then we put it in the proper unit.The answer is 20km
Question 9: what is the y-intercept?
The y-intercept is the distance away from the moon
Question 10: At what time will Apollo 13 crash into the moon?
We said 11.4 seconds.Because we figured out the 2 x-points and picked out the point that hit the moon first.
Theend

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