Category: Mathematics Homework Help

Intro: Linear regression attempts to model the relationship between two quantitative variables by fitting a linear equation to observed data. Before attempting to fit a linear model to observed data, however, we need to first determine whether a linear model is appropriate – meaning would a linear model predict the response variable with reasonable accuracy. If there is no association or a weak association between the explanatory and response variables, then a linear regression model will not be useful. A scatterplot and the correlation coefficient can be useful tools in determining the strength of an association and whether or not a linear model could be used to make reasonable predictions.

In this project you will chose a data set that interests you from the list below, investigate the strength of a linear association between two quantitative variables within that data set, and determine if a linear regression model is appropriate. 

Guidelines:

To produce a successful project you must:

• Read and follow the instructions carefully.
• Give yourself sufficient time to work on the project.
• Write clearly, using appropriate statistical terminology and correct mathematical notation. College-level writing is expected, as is the use of proper grammar.
• Use StatCrunch to complete all calculations and graphs.
• Create original work.
• Submit a professional report that is typed and formatted and organized well.

PROJECT INSTRUCTIONS

STEP 1: Choose a data set and two quantitative variables within that data set to investigate.

For example, I could say, “I chose to investigate the linear association between Home Team Goals and Attendance from the data set titled FIFA World Cup Match Results (1930-2014).”

STEP 2: Use StatCrunch to create a scatterplot for your variables.  

For my example, I will create a basic scatterplot with Attendance as the explanatory variable and Home Team Goals as the response variable. I will then copy the graph into my document.

STEP 3: Use StatCrunch to calculate the correlation coefficient and report the result.

For my example, I will only need to compute the correlation coefficient for the variables Home Team Goals and Attendance (not all of the variables in the table as is shown in the video). I will then copy the result into my document.

STEP 4: Referencing the scatterplot and the correlation coefficient, describe the form and strength of the association you are investigating and be sure to thoroughly discuss any possible outliers. Then make a conclusion about whether or not a linear model would be appropriate for the association you are investigating.  

For this step, write a thoughtful paragraph that gives a detailed description of the association and a reasoned conclusion about whether a linear model is appropriate for your case using the language and concepts involved with linear regression. This step is where you show that you thoroughly understand this concept and therefore it carries the most points towards your grade for this project. 

Data Sets:

Below is a list of data sets – choose one for the project.

U.S. CBP Drug Seizure Statistics: https://www.statcrunch.com/app/index.php?dataid=28…
This data set summarizes the pounds of drugs seized at ports of entry and between points of entry by the U.S. Customs and Border Protection Agency. https://www.cbp.gov/newsroom/stats/cbp-enforcement…

U.S. Presidential Data: https://www.statcrunch.com/app/index.php?dataid=31…
This data set contains information on the U.S. Presidents from 1789-2019.

Fatal Encounters Updated September 2018: https://www.statcrunch.com/app/index.php?dataid=30…
This data set contains information on fatal encounters. Fatal Encounters is a non-profit organization that collects data on police involved deaths. Note: This is a volunteer agency collecting the data from people who are scouring new articles for evidence of these fatal encounters. Thus, this is not a complete population of fatal encounters, only a large sample. https://fatalencounters.org/

College Basketball Arenas: https://www.statcrunch.com/app/index.php?dataid=29…
This data set contains information on college basketball arenas throughout the country.

Marriage vs. the Economy: https://www.statcrunch.com/app/index.php?dataid=28…
This data set compares the number of marriages in the last 30 years to several factors of the economy.

Medical Costs: https://www.statcrunch.com/app/index.php?dataid=26…
This data set contains a variety of personal data in regards to medical costs.

MLB August 2019 Batting: https://www.statcrunch.com/app/index.php?dataid=31…
This data set contains MLB batter statistics and are year-to-date as of August 18, 2019.

Sample College Data: https://www.statcrunch.com/app/index.php?dataid=31…
This data set contains a variety of data for colleges and universities in Delaware, DC, Maryland, Pennsylvania, Virginia, and West Virginia. Data is for the year 2011.

Fast Food Nutritional Data: https://www.statcrunch.com/app/index.php?dataid=25…
This data set contains nutritional information on a variety of fast food items. Data was collected in January 2017 from online sources for each restaurant.

NFL Player Data 2016: https://www.statcrunch.com/app/index.php?dataid=27…
This data set lists the 2,764 NFL players for all team rosters as of July 22, 2016

Car Details 2019 Models: https://www.statcrunch.com/app/index.php?dataid=32…
This data set contains information on the 2019 models of widely-known sold cars. MSRP stands for Manufacturer Suggested Retail Price and MPG stands for Miles Per Gallon.

Hello! I am looking to hire for a task that is 8 questions and only 1 hour long. However, the timing is specific. The task starts at 6pm EST (Washington DC time). The assignment is given through Canvas. You would go there, go to the assignment, I would give you an access code a few minutes before 6pm, you would enter it, then complete the questions asked under the assignment within the Statistics class. Once you begin, you will have 1 hour to complete.

There is nothing to be done until later today before the assignment starts.

Statistics, sampling and surveys type question.

Attached below. Only one question. Pay attention if it includes a) b) c) or i) ii) iii).

Need it within 1 hour.

Thank you.

Statistics, sampling and surveys type question.

Attached below. Only two questions. Pay attention if it includes a) b) c) or i) ii) iii).

Need it within 1 hour.

Thank you.

Statistics, sampling and surveys type question.

Attached below. Only two questions. Pay attention if it includes a) b) c) or i) ii) iii).

Need it within 1 hour.

Thank you.

4. Give an example of each of the following, or argue that such a request is impossible.

(a) A sequence that does not contain 0 or 1 as a term but contains subsequences

converging to each of these values.

(b) A monotone sequence that diverges but has a convergent subsequence.

(c) A sequence that contains subsequences converging to every point in the innite set

1; 1

2 ; 1

3 ; 1

4 ; : : :

.

(d) An unbounded sequence with a convergent subsequence.

(e) A sequence that has a subsequence that is bounded but contains no subsequence

that converges.

6. Let (xn) be a Cauchy sequence. Show that the sequence (x2021

n ) converges.

7. Let (xn) be a bounded sequence in R. Given N 2 N, we dene the sequences uN and

vN as follows:

uN := supfxn : n Ng = supfxN; xN+1; xN+2; xN+3; : : :g

vN := inffxn : n Ng = inffxN; xN+1; xN+2; xN+3; : : :g:

(a) Prove that the sequences fuNg and fvNg converge as N ! 1.

We introduce the following notations:

lim sup

n!1

xn := lim

N!1

uN = lim

N!1

supfxn : n Ng;

lim inf

n!1

xn := lim

N!1

vN = lim

N!1

inffxn : n Ng:

Whilst the original sequence (xn) may or may not converge, the lim sup and lim inf

always converge (i.e. are always well-dened) if (xn) is bounded.

(b) Let’s rst do an example. Let xn = ( 1)n + 1

n. Does xn converge? Find supfxn :

n 2 Ng and inffxn : n 2 Ng. Given N 2 N, nd the sequences uN, vN, and

compute lim sup xn and lim inf xn. Show that there are subsequences of (xn) which

converge to lim sup xn and lim inf xn, respectively. Does lim inf xn = sup xn? What

about lim inf and inf?

(c) Show that, in general, there exists a subsequence (xnk) such that lim

k!1

xnk = lim sup

n!1

xn,

and likewise, there is a subsequence (xn`) such that lim

k!1

xn` = lim inf

n!1

xn.

Hint: argue similar to Q1 (b) above.

(d) Prove that we always have lim inf

n!1

xn lim sup

n!1

xn. Provide an example to show

that the inequality can be strict.

This week’s bulletin board involves a computation. Reply with answers here

My cousin has 3 children, ages 2, 5, & 8. Compute the mean, range and standard deviation for the children. My niece also has 3 children. Their ages are 10, 4, & 1. Compute the mean, range and standard deviation for these children.

Draw at least one conclusion from these results. Write a statement about your findings.

Details are in attachment file. There are 2 parts in this assignment. For part 1, there’s SPSS data outputs that help you solve each questions. For part 2, you need to solve by hand only for each questions with statistic data.

Just make sure that you need to solve part 1 by computer(word), part 2 by hand written(take a picture of hand writing and paste to word file)

MATHEMATICS

Text books that are used for this class:

Elementary Statistics EText, 14th Edition, Marion Triola 

Reference:

Triola, Marion F. (2017). Elementary statistics + mystatlab with pearson etext access card (14th ed.). Prentice Hall.