Hello,
I need help understanding a question about Time Series. I would like step by step working out to help me to understand the problem. The question is attached, please look carefully and respond if you are confident with your knowledge. Should take 21min.
Thanks
Post your response to the following:
No doubt many students find mathematics a difficult subject. Despite that there is no question that Mathematics along with English is one of the main foundations for any discipline. Applications of mathematics are everywhere and naturally as a mathematician, I tend to think that mathematics is fun and everyone can learn math through hard work and dedication. I also believe that the main reason many do not succeed in mathematics is due to poor study habits and planning. For your first discussion question, I would like to ask you to think about study strategies that you are planning to employ for this course. If you have struggled with mathematics in past, what do you plan to do differently in this course to succeed? What specific suggestions and advice do you have for your classmates? Please come up with at least three suggestions. List your suggestions in three separate paragraphs. For each suggestion, explain why the suggestion is important and how you can benefit from it.
we have found the nonlinear equation of motion. The method of
control design and analysis that we have learned in this class can only be
applied to a linear system for that we need to linearize the system, however,
the scope of this class does not cover the method of linearization of a
nonlinear system therefore I will give you the equation after linearization.
Activity 1:
The file “gia_nha.csv” contains information about the market price (in dollars) of 21613
house in King County, USA between May 2014 and May 2015. Beside
Besides the house price, the data also includes attributes that describe the quality of the house. Original data
offered at: https://www.kaggle.com/harlfoxem/housesalesprediction.
Key variables in the dataset:
price: The price the house is sold for.
floors: The number of floors of the house is classified from 1-3.5.
condition: The architectural condition of the house is from 1 to 5, 1: very bad and 5: very good.
view: Rate the landscape around the house from low to high: 0-4.
sqft_above: Area of the house.
sqft_living: Area of the house campus.
sqft_basement: Basement area.
Implementation steps:
1. Import data: house_price.csv
2. Data cleaning: NA (missing data)
3. Clarifying data: (Data visualization)
(a) Convert the variable (if necessary).
(b) Descriptive statistics: use sample statistics and use graphs.
4. Building a linear regression model to evaluate the factors that can affect
King County housing prices.
5. Make a forecast for King County home prices.
Activity 2:
Students find a data set that belongs to their major. Encourage birth
Using real data available from experiments, surveys, projects, . . . in specialized
its industry. In addition, students can search for data from other sources by themselves
or refer to the data warehouse provided in the file “repository_du_lieu_BTL_xstk.xlsx”.
Students are free to choose appropriate theoretical methods to apply data analysis
your data, but must ensure 2 parts: Data visualization and description
model fitting.
Problem 1. Given the data:
xi 0.2 0.3 0.6 0.9 1.1 1.3 1.4 1.6
yi 0.050446 0.098426 0.33277 0.72660 1.0972 1.5697 1.8487 2.5015
a. Construct the least squares polynomial of degree 1 and compute
the error.
b. Construct the least squares polynomial of degree 2 and compute
the error.
c. Construct the least squares polynomial of degree 3 and compute
the error.
d. Construct the least squares approximation of the form beax, and
compute the error.
e. Construct the least squares approximation of the form bxa
, and
compute the error.
Problem 2. Let R be the rectangle [0; 2] × [1; 4].
(a) Let f(x; y) = x cos(x
2 y). Calculate the integral RR
R
f(x, y)dA.
(b) Study the Simpson formula. Develop a function to estimate the
integral in R using composite trapezoidal formula.
(c) Let n and m be the number of sub-interval in x and y components, respectively. Estimate the integral with [n, m] = [40, 60]
and [n, m] = [80, 120] and estimate the errors.
Problem 3. Heat is conducted along a metal rod positioned between two fixed temperature walls. Aside from conduction, heat is transferred between the
rod and the surrounding air by convection. Based on a heat balance,
the distribution of temperature along the rod is described by the following second-order differential equation
0 =
d
2T
dx2
h(T∞ − T)
where T = temperature (K), h = a bulk heat transfer coefficient
reflecting the relative importance of convection to conduction m−2
,
x =distance along the rod (m), and T∞ = temperature of the surrounding fluid (K).
(a) Convert this differential equation to a equivalent system of simultaneous algebraic equations using a centered difference approximation for the second derivative.
(b) Develop a function to solve these equations from x = 0 to L and
return the resulting distances and temperatures, in which, the
algebraic equations must be solved by tridiagonal matrix.
(c) Develop a script that invokes this function and then plots the
results.
(d) Test your script for the following parameters: h = 0.0425 m−2
,
L = 12 m, T∞ = 220 K, T(0) = 320 K, T(L) = 450 K, and
∆x = 0.5 m.
Instructions
A night club owner has just changed ownership and the new owner has contracted G
Instructions
A local law firm has hired G
Purpose:
The assignment helps you grasp the fundamental concepts of big data management, related
knowledge and the techniques, and practical software and tools which are required for
developing big data projects.
Requirements: You are required to identify a suitable dataset, provide an analysis of the data,
and recommend suitable Big Data Management strategies. This will be written up as a
professional report.
Learning outcomes assessed:
K1, K2, K3, S1, S1, S2, A1, A2
Details
You will use the analytical tools taught on this course (including Jupyter notebooks, pySpark,
Tableau) to explore, analyse and visualise a dataset of your choosing. An important part of
this work is preparing a good quality report, which details your choices, analysis, and
recommendations/conclusions. Also, that it is of an appropriate style.
The dataset should be chosen from the following repository:
UC Irvine Machine Learning Repository
https://archive.ics.uci.edu/ml/index.php
Give a 3-4 paragraph summary double space mla format to form a page and a half ssummary for each topic.
In each summary explain what each topic is explain how to solve problems within the topic as well any rules step by step that may apply. Head all topis as well
3 topics- Inverse Functions, Order Of Operations, Elementary Properties of Exponents (No refrence page needed)
Technology Review PaperIn two to three pages (roughly 500-750 words), double spaced, you are going to review a technological tool that can be used to foster algebraic thinking. Understand that the tool alone can’t do this, it takes an activity also, so you are review both the software and the activity. Be sure to cite your source (I don’t care about format) with a weblink or some citation of the activity. Some of the questions you need to consider:
Software Description: What does the software do? Who is it targeted toward? Cost?
Activity Description: What is it intended to do? What can students learn with it?
Algebraic Thinking: How can the activity/software be used to foster algebraic thinking? How does it enable and constrain algebraic thinking?
Include at least two screen shots (does not count in page length)
Grammar, Punctuation, Citation, Formatting
We will do some of these activities in class, you are welcome to use one that I assigned or choose your own prebuilt activity from the millions on the web (run it by me first) or build your own!
Some suggested sources:
Desmos:
Surf around in Desmos Classroom Activities https://teacher.desmos.com/collection/featured-collections?r=w.hd (Links to an external site.)
Geogebra:
Surf around in the Geogebra blog (be sure to check out the graphing calculator app) http://community.geogebra.org/en/ (Links to an external site.)
Search through the 1,000,000 materials (not all of these are great, that is the purpose of reviewing not only the software, but the activity as well) https://www.geogebra.org/materials/ (Links to an external site.)
Or just do a google search for Geogebra algebra
Fathom
Algebra I activities https://fathom.concord.org/resources/algebra-1-activities/ (Links to an external site.)
Algebra II activities https://fathom.concord.org/resources/algebra-2-activities/ (Links to an external site.) (Links to an external site.)
A couple of techtips from the Mathematics Teacher mt2008-10-210a.pdfActions mt2008-12-390a.pdfActions
Or just google Fathom algebra. Be careful because this used to be a commercially licensed software so there are lots of materials that cost money. You should easily be able to find free resources
Excel
https://www.stem.org.uk/elibrary/collection/4248/algebra-using-equations-and-functions (Links to an external site.)
There are literally thousands of these websites. Google algebra and EXCEL.
Graphing Calculator (could be a traditional graphing calculator or Desmos.com)
https://education.ti.com/en/84activitycentral/us/algebra-i (Links to an external site.)
https://education.ti.com/en/84activitycentral/us/algebra-ii (Links to an external site.)
There are again, thousands and thousands of these. Not necessarily all good, that is why you are doing reviews