KEY ACTIVITY
TRIGONOMETRY AND INTRODUCTION TO STATISTICS
Name of the State assigned
Celine Bonilla García A01661356
Valeria Espinoza A0166
Naomi Alexandra Ibarra Ortiz A01661075
Michelle Granda Guadalajara A01661069
Teacher: Alejandro Ruiz Ortega
Campus: CCM
Date: 5/05/2023
Insight data
https://docs.google.com/spreadsheets/d/1jjP3-VYQLwHbza0tHyZD6Ix_jCIiP_d_/edit?u
sp=sharing&ouid=112238718205859025819&rtpof=true&sd=true
Insight data
Insight data
Insight data
Parameter’s comparison
Parameter Value obtained by the team Value given by the graphing
software
We obtained the graphic by
making a periodic function 7.025sin(pi/6(x-3))+21.27 22.46+6.75sin(0.53x-2.01)
getting the estimated
temperatures on the next the distance between the minimum was 12, while the
as same by graphing the functions it made an
years distance between the maximum was 11, thus it
estimation and prediction of the years
demonstrates an near proximate of the month’s climate.
temperatures
7.025sin(pi/6(x-3))+21.27 22.46+6.75sin(0.53x-2.01)
Maximum and minimum Max. (27.5 + 29.1) / 2 = 28.3 Max. of the graph 28.295 → 28.3
Min. (14.9 + 13.6) / 2 = 14.25 Min. of the graph 14.245 → 14.25
the amplitude of the graph → 6.75
Amplitude and p=(2*pi)/b the amplitude = (28.3-14.25)/2= 7.025
the p value of the graph → 3(3.14)/6 = 1.57 →2
the p value = 2(3.14)/b → (12 months) = 1.57
Function in the form:
f(x)=a sin k(x-b)+c OR
f(x)=a cos k(x-b)+c 7.025sin(pi/6(x-3))+21.27 22.46+6.75sin(0.53x-2.01)
Reasoning
1. Explain: Why is there a difference between the temperatures obtained with the two models (the one obtained with the parameters and the one generated
with the software), if there is any?
In the two models there is actually a difference between the two years, the data shows that in 2022 there is a biggest contrast between the warm and the cold
temperatures, in other words, in 2022 the cold and warm weather are more extreme. This may be caused by the global warming that wts worse everyday, especially for the
pollution that the big cities like Nuevo León produce every day.
2. From the two models, which one is better? Explain your reasoning.
The second model also makes it easier to identify patterns and trends, which may be useful in making important decisions for a business or organization. With the
use of a tendency line, it is easier to identify sudden spikes or drops in data, which can help in analyzing the reason for those changes and finding ways to improve
or maintain current trends. Additionally, this model allows for comparability between multiple sets of data. Overall, the second model provides a more efficient
way of analyzing data, making it an ideal choice in situations that require a quick and easy data analysis.
3. Explain the behavior of the temperature as time passes.
According to the graph and the data recalled to do so in both the year 2021 and 2022 in Monterrey we can see a similar pattern, where at the beginning of the
year the temperature started to increase and in the middle it rose up completely in the months of june and july, finally the other half of the year it started to
decrease.
4. What does the period represent in the present context or situation?
The period is a fundamental element in this process, since it makes it possible to understand the repetition patterns in a given time interval. In this context, the
period represents the cycle that each month follows until it reaches a year and repeats the situation, making it possible to predict the current year.
Predictions
From the model obtained by the Procedure:
team: Jan: 15.0, Feb: 18.65, March:
23.7
According to
both models
obtained, what
is the
temperature
during Jan., Feb. From the model given by the Procedure:
and March of graphing software: Jan: 15.87, Feb:
16.82, March 18.88
2023?
Video of the team:
https://youtu.be/kQV-FoZ2aOk
