Correlation and Regression in relationship analysis



Don't use plagiarized sources. Get Your Custom Essay on
Correlation and Regression in relationship analysis
Just from $9/Page
Order Essay


Questions Solutions


Student ID










Due date



























Answer all the following questions:


  1. The annual sales of functional apparel might be related to three factors: monthly income, number of competitors, and number of customers. In order to examine the relationship between the three factors and the annual sales, data were gathered and analyzed using The outputs are listed 3n the Appendix. (20%)



Please answer the following questions:

  1. Explain how well of the final regression

The R2=0.762 in the final regression model, while in the first regression model, R2=0.581 showing that the last regression model is better and the data fits the model well than the first model. 76.2% of the variation in the dependent variable, annual sales can be explained by the independent variables, the number of customers, and monthly income. This is a statistically significant percentage.

  1. Explain whether the final model has a significant linear

The ANOVA table shows a significant linear relationship between annual sales and the independent variables: number of customers and monthly income, F(2,17) =580.655, p =.001. The p-value is less than alpha=0.05, and therefore we reject the null hypothesis.

  1. Establish a multiple linear regression equation for the final

Annual sales=42.635+ 15.182(number of customers) +7.027(monthly income)

  1. Explain whether each factor has a significant linear

Annual sales and number of customers have a statistically significant linear relationship, B=15.182,t stat=3.025, p=.005. An increase in the number of customers results in a corresponding increase in annual sales. Annual sales and monthly income have a statistically significant linear relationship, B=7.027,t stat=2.786, p=.008. Growth in the monthly income results in a corresponding increase in the annual sales, and vice versa.


  1. A fashion company wants to evaluate the strength of their stored Historical data show that the strength of cardigans produced by the company follows a normal distribution. A sample of 18 cardigans was randomly selected and tested. The descriptive statistics of the testing results (in kPa) are shown in the below table. (20%)


  N Variance Range Mean Std. Deviation
Sample data

Valid N (listwise)



42.499 28.00 168.50 6.519


Please answer the following questions (Note: calculation steps are required in the answers for each of following questions):

  • Supposing standard deviation of the strength of stored cardigans is known to be 6 kPa, answer the following questions:

(a.1) set up a 95% confidence interval estimate to the average strength of the stored cardigans.       (5%)

CI= 100(1-)%, therefore 30.1162


X⁻- Z<< X⁻+ Z

168.50-1.96<< 168.50+1.96

95% CI=165.488<<171.511


(a.2) what sample size is required if the Margin of Error is      1 at 95% of confidence for the estimate of the average strength of the stored cardigans?                   (5%)

E= Z


1= 1.96



=Approximately 163

  • Supposing the average strength of stored cardigans is confirmed to be 1 ñ8 kPa with

n standard deviation of 6 kPa, answer the following wing questions:

(b.1) 60% of the stored cardigans will have strength between what two values of kPn (the two values are syininetricall y distributed around the mean)?                                               (5%)


or, P(X<n)-P(X<m)=0.6





From normal table: Z=0.8416






Then the two values between which strength of the 60% stored cardigans will lie are 173 kPa and 163 kPa.


(b.2) what percent of the stored cardigans will have strength either below 1 56 kPa or larger than 180 k Pa (5%)

P(X>180 or X<156)


=P(X>180)+P(X<156)= P(Z>2)+P(X<-2)

=1- P(Z>2)+1- P(Z<2)=2{ 1-P(Z<2)}


=2 (1-0.97724)=0.0455



  1. In order to know students’ satisfactory level of a service provided in three schools of A, B, and C, a survey was conducted for collecting students’ ratings (from 0 to 10) on the satisfactory level. For each school, 200 students were involved in the survey. After the survey, all the data need to be input into the SPSS software package for comparing the satisfactory level among the three schools. Based on your subject lemming, use your own words to describe how to prepare the data in SPSS for conducting the ANOVA among the three schools. (Word limit: Maximum 150 words) (I 2%)

After entering the data into SPSS, the variables displayed will be satisfactory level which is the independent variable, and the three schools, A, B, and C, that is the dependent variable. The next step is to ensure that the dependent variable should be continuous and the independent variable is categorical. The satisfactory level is a Likert scale and is treated as a continuous variable. The schools are categorical: school A, school B, and school C.Click Analyze—Compare means—One-way ANOVA. Under the one-way ANOVA, the school categories is inputted under the factor box and the satisfactory level under the dependent variable box. Click on the Post_Hoc button, then select Tukey. Click on the continue button then the options button. Under options, click descriptives the select continue, then finally the ok button to run the analysis. The results are then interpreted and the statistical significance of the satisfactory level of the three groups related.


  1. Based on your subject learning, use your own words to explain the differences of each pair of items listed in the following questions:


(Word limit: Maximum 120 words for each of following questions) (48%)


  • Cluster analysis and Factor analysis in data grouping

Both methods of data grouping do not create a distinction between dependent and independent variables. However, the two are different in that factor analysis decreases the number of variables by putting them in small factors. In contrast, cluster analysis reduces observations’ numbers by putting them in groups of small clusters. In simple terms, cluster analysis is a form of categorizing variables, while factor analysis simplifies observations.

  • P-value method and Manual method in T-test

The p-value method is the easiest method that computes a single value, the p-value, which is the significance level. The technique relates the p-value and the alpha, which is usually equal to 0.05. On the other hand, the manual method entails computing the test statistic and the critical value. This is tedious because it involves the computation of two factors. Conclusions are then made based on the given level of significance, usually 0.05.

  • Hierarchical and K-mean algorithms in data clustering

Hierarchical clustering is always in the form of a tree. The trees usually entail a set of nested clusters. It works on structures that are not hyperspherical. On the other hand, K means the algorithm works best on hyperspherical groups such as spheres.

  1. Correlation and Regression in relationship analysis

Correlation uses r to show the strength and direction of the association between variables. In contrast, regression uses beta coefficients to show the strength, direction, and cause and effect between variables. Correlations can only be carried out on two continuous variables, while in regression relationship of one dependent variable and multiple independent variables can be determined.


Get Professional Assignment Help Cheaply

Buy Custom Essay

Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?

Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.

Why Choose Our Academic Writing Service?

  • Plagiarism free papers
  • Timely delivery
  • Any deadline
  • Skilled, Experienced Native English Writers
  • Subject-relevant academic writer
  • Adherence to paper instructions
  • Ability to tackle bulk assignments
  • Reasonable prices
  • 24/7 Customer Support
  • Get superb grades consistently

Online Academic Help With Different Subjects


Students barely have time to read. We got you! Have your literature essay or book review written without having the hassle of reading the book. You can get your literature paper custom-written for you by our literature specialists.


Do you struggle with finance? No need to torture yourself if finance is not your cup of tea. You can order your finance paper from our academic writing service and get 100% original work from competent finance experts.

Computer science

Computer science is a tough subject. Fortunately, our computer science experts are up to the match. No need to stress and have sleepless nights. Our academic writers will tackle all your computer science assignments and deliver them on time. Let us handle all your python, java, ruby, JavaScript, php , C+ assignments!


While psychology may be an interesting subject, you may lack sufficient time to handle your assignments. Don’t despair; by using our academic writing service, you can be assured of perfect grades. Moreover, your grades will be consistent.


Engineering is quite a demanding subject. Students face a lot of pressure and barely have enough time to do what they love to do. Our academic writing service got you covered! Our engineering specialists follow the paper instructions and ensure timely delivery of the paper.


In the nursing course, you may have difficulties with literature reviews, annotated bibliographies, critical essays, and other assignments. Our nursing assignment writers will offer you professional nursing paper help at low prices.


Truth be told, sociology papers can be quite exhausting. Our academic writing service relieves you of fatigue, pressure, and stress. You can relax and have peace of mind as our academic writers handle your sociology assignment.


We take pride in having some of the best business writers in the industry. Our business writers have a lot of experience in the field. They are reliable, and you can be assured of a high-grade paper. They are able to handle business papers of any subject, length, deadline, and difficulty!


We boast of having some of the most experienced statistics experts in the industry. Our statistics experts have diverse skills, expertise, and knowledge to handle any kind of assignment. They have access to all kinds of software to get your assignment done.


Writing a law essay may prove to be an insurmountable obstacle, especially when you need to know the peculiarities of the legislative framework. Take advantage of our top-notch law specialists and get superb grades and 100% satisfaction.

What discipline/subjects do you deal in?

We have highlighted some of the most popular subjects we handle above. Those are just a tip of the iceberg. We deal in all academic disciplines since our writers are as diverse. They have been drawn from across all disciplines, and orders are assigned to those writers believed to be the best in the field. In a nutshell, there is no task we cannot handle; all you need to do is place your order with us. As long as your instructions are clear, just trust we shall deliver irrespective of the discipline.

Are your writers competent enough to handle my paper?

Our essay writers are graduates with bachelor's, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college degree. All our academic writers have a minimum of two years of academic writing. We have a stringent recruitment process to ensure that we get only the most competent essay writers in the industry. We also ensure that the writers are handsomely compensated for their value. The majority of our writers are native English speakers. As such, the fluency of language and grammar is impeccable.

What if I don’t like the paper?

There is a very low likelihood that you won’t like the paper.

Reasons being:

  • When assigning your order, we match the paper’s discipline with the writer’s field/specialization. Since all our writers are graduates, we match the paper’s subject with the field the writer studied. For instance, if it’s a nursing paper, only a nursing graduate and writer will handle it. Furthermore, all our writers have academic writing experience and top-notch research skills.
  • We have a quality assurance that reviews the paper before it gets to you. As such, we ensure that you get a paper that meets the required standard and will most definitely make the grade.

In the event that you don’t like your paper:

  • The writer will revise the paper up to your pleasing. You have unlimited revisions. You simply need to highlight what specifically you don’t like about the paper, and the writer will make the amendments. The paper will be revised until you are satisfied. Revisions are free of charge
  • We will have a different writer write the paper from scratch.
  • Last resort, if the above does not work, we will refund your money.

Will the professor find out I didn’t write the paper myself?

Not at all. All papers are written from scratch. There is no way your tutor or instructor will realize that you did not write the paper yourself. In fact, we recommend using our assignment help services for consistent results.

What if the paper is plagiarized?

We check all papers for plagiarism before we submit them. We use powerful plagiarism checking software such as SafeAssign, LopesWrite, and Turnitin. We also upload the plagiarism report so that you can review it. We understand that plagiarism is academic suicide. We would not take the risk of submitting plagiarized work and jeopardize your academic journey. Furthermore, we do not sell or use prewritten papers, and each paper is written from scratch.

When will I get my paper?

You determine when you get the paper by setting the deadline when placing the order. All papers are delivered within the deadline. We are well aware that we operate in a time-sensitive industry. As such, we have laid out strategies to ensure that the client receives the paper on time and they never miss the deadline. We understand that papers that are submitted late have some points deducted. We do not want you to miss any points due to late submission. We work on beating deadlines by huge margins in order to ensure that you have ample time to review the paper before you submit it.

Will anyone find out that I used your services?

We have a privacy and confidentiality policy that guides our work. We NEVER share any customer information with third parties. Noone will ever know that you used our assignment help services. It’s only between you and us. We are bound by our policies to protect the customer’s identity and information. All your information, such as your names, phone number, email, order information, and so on, are protected. We have robust security systems that ensure that your data is protected. Hacking our systems is close to impossible, and it has never happened.

How our Assignment Help Service Works

1. Place an order

You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.

2. Pay for the order

Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.

3. Track the progress

You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.

4. Download the paper

The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

smile and order essay GET A PERFECT SCORE!!! smile and order essay Buy Custom Essay

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more
error: Content is protected !!
Open chat
Need assignment help? You can contact our live agent via WhatsApp using +1 718 717 2861

Feel free to ask questions, clarifications, or discounts available when placing an order.
  +1 718 717 2861           + 44 161 818 7126           [email protected]
  +1 718 717 2861         [email protected]