Project 1 (UT's Bigfoot) S(2 )

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University of Toledo *

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1200 003

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Statistics

Date

Apr 3, 2024

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pdf

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Uploaded by PresidentEnergy8883

Names SHOW ALL WORK Direc3ons: Be sure to answer each ques3on below. You must show all your work in order to receive credit. Plagiarism will not be tolerated in any way. On the first day of the semester, several students and faculty reported a large ape-like creature heading in the general North East direc3on. When asked to point out the loca3on of the sigh3ngs on a map, the results were below. Bigfoot Sigh3ngs on Campus (Day 1) 0 25 50 75 100 0 25 50 75 100

1.) Based upon the data, is it reasonable to assume Bigfoot was heading in a rela3vely straight line? If so, are there any reported loca3ons that seem out of place? What possible reasons could explain these out of place sigh3ngs? (List at least two reasons.) (5 pts) It is appropriate to assume that he was heading in a straight line, because there are more points on the line, then off, and some points could be missighted West of student union (40,70) 2.) If we assume our large-footed friend was traveling linearly across campus, lets create a linear model that you feel best fits Bigfoot’s path. (20 pts) a. What points did you select to use to build your linear model? Make sure your two chosen points create a line that keeps an equal number of relevant data points on each side. (5 pts) Ordered pair 1: (25,40) Ordered pair 2: (-0,50) b. What is the slope between your chosen points? Explain in your own words what this number means rela3ve to Bigfoot’s path. (5 pts) 50-40/-0.25=2 this means the slope is 2x c. What is the y intercept of your line? Show how you found it mathema3cally. (5 pts) Y-intercept is -10 d. What is your linear model? Explain what this modeling equa3on means. (5 pts) y-40=2(x-25) y-40=2x-50 y=2x-10 3.) Use h‘ps://www.geogebra.org/classic and graph your line along with all of Bigfoot’s loca3ons. Does the line look like it’s modeling Bigfoot’s path? Post a screen shot of your graph here. (10 pts)

4.) Are there any loca3ons that your model es3mates for Bigfoot’s posi3on that would be realis3cally impossible or highly unlikely? If so, give an example of such a loca3on and explain why it is unlikely. (5 pts) 5.) On the map, there are train tracks running straight and next to the university bike trail. (10 pts) a. Find the equa3on of the line that traces over these tracks. (5 pts) The equa3on of the line is y=-1/10x+18 b. Use this train track equa3on along with your earlier model of Bigfoot’s path to algebraically es3mate the most likely area where Bigfoot crossed the train tracks. (5 pts) Around (5,-5) 6.) Authori3es out to catch Bigfoot, are sta3oned on Douglas road. Using your linear model from problem 2, direct them to the most likely loca3on on Douglas road where they will encounter and snare Bigfoot. Find this loca3on algebraically. (5 pts)

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Authori3es had no luck ensnaring, or even sigh3ng bigfoot on Douglas road. It is believed he is hiding on campus somewhere. A few days later, another string of sigh3ngs is reported and pinned to the map below. Again, he is traveling in a somewhat linear path, but this 3me heading in the direc3on South East.

7.) Create another linear model for Bigfoot’s path for the second day of sigh3ngs just like you did in problem 2. (20 pts) a. What points did you select to use to build your linear model? Make sure your two chosen points create a line that keeps an equal number of relevant data points on each side. (5 pts) (61,40) Bigfoot Sigh3ngs on Campus (Day 2) 0 25 50 75 100 0 25 50 75 100

(99,-) b. What is the slope between your chosen points? Explain in your own words what this number means rela3ve to Bigfoot’s SE path. (5 pts) -40/99-61=-7/-8 c. What is the y intercept of your line? Show how you found it mathema3cally. (5 pts) y-40=-7/-8(x-61) y=—7/-8x+99-9 Y intercept is 99,-9 d. What is your linear model? Explain what this modeling equa3on means. (5 pts) y=- -7/-8+99,.9 is the slope intercept form of the equa3on 8.) Use h‘ps://www.geogebra.org/classic and graph your line along with all of Bigfoot’s loca3ons. Does the line look like it’s modeling Bigfoot’s path? Post a screen shot of your graph here. (10 pts)

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9.) It is believed that our Sasquatch has made his home somewhere on campus, and that he was heading to his home on day 1, and he was leaving his home on day 2. Using both models from problem 2 of day 1 and problem 7 of day 2, algebraically pinpoint the most likely loca3on where Bigfoot was staying. (5 pts) I believe it is at home or near the north tennis courts (50,66) 10.) Although the Bigfoot scenario on UT’s campus is obviously fabricated just for fun, there are plenty of real-world scenarios that would u3lize the idea of a linear model. Research and find at least one such real world scenario, and in your own words, write a full one-page of typed text report on it. You should include actual data or graphics from your scenario and explain how the linear model was used. (10 pts) When reading a map, you could use a linear model to pinpoint where you need to go and how to get to the place in your mind like if you’re planning to go to a road trip to Texas with two of your best friends, you start off in Ohio and you know it’s going to be a very long drive You’re so in charge of all the math involved and you have to plan every single detail the schedule one to stop where to stop make sure you get there on 3me. You have to plan and make a linear model with all of the variables involved with this trip like gas when you guys are planning to leave Texas How many hours it will take to get there and how many hours it will take to get back how many 3mes you guys are planning on stopping to go shopping how many 3mes do you plan on stopping on the road and how much room do you guys have in the car to bring stuff back so that you guys have enough room room