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Dataset 1” shows data of average US annual consumption

Question 1:
The consumption function captures one of the key relationships in economic. It expresses
consumption as a function of disposal income, where disposal income is income after taxes. The
attached file “week 02 – Assignment – Dataset 1” shows data of average US annual consumption
(in $) and disposable income (in $) for the years 2000 to 2016.

  1. Find the sample linear regression equation for the model
  2. In this model, the slope coefficient is called the marginal propensity to consume.
    Interpret its meaning
  3. What is the predicted consumption if disposal income is $35,000?
    Question 2:
    A Realtor in Massachusetts is analyzing the relationship between the sale price of a home (in $),
    it’s the square footage (in ft2), the number of bedrooms, the number of bathrooms, and a
    colonial dummy variable (colonial equals 1 if a colonial-style home; 0 otherwise). The relater
    collects data of 36 sales in Massachusetts for the analysis. The attached file “week 02 –
    Assignment – Dataset 2” contains the data.
  4. Estimate the linear regression model for the price.
  5. Interpret the coefficients attached to area (square footage) and colonial.
  6. Predict the price of a 2500 square foot colonial style home with three bedrooms and
    two bathrooms.
    Submit a Word or PDF file for your answers as well as the excel sheet.

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dataset that lists estimates of the percentage of body fat determined by underwater weighing and various body circumference measurements for 252 men from K.W. Penrose

For your Final Paper,  you will have the opportunity to apply your knowledge for a real data set in order to understand the applicability of all the Statistical tools learned in this course.

Attached is a dataset that lists estimates of the percentage of body fat determined by underwater weighing and various body circumference measurements for 252 men from K.W. Penrose, A.G. Nelson, A.G. Fisher, FACSM, Human Performance Research Center, Brigham Young University, Provo, Utah 84602 as listed in Medicine and Science in Sports and Exercise, vol. 17, no. 2, April 1985, p. 189.

Some experts claim BMI (Body Mass Index) as the most accurate and simple way to determine the effect of weight on your health. Meanwhile, in September 2000, the American Journal of Clinical Nutrition published a study showing that body-fat percentage may be a better measure of your risk of weight-related diseases than BMI.

An important question that arises is whether there is a relationship between ‘Body Fat Percentage’ and ‘Body Mass Index’ as a predictor.

Body Mass Index is defined as 

With the use of the statistical techniques used in this programme (especially simple linear regression), explain whether BMI can be used to explain the Body Fat percentage for an individual based on the dataset provided. Clearly explain and interpret your results.

  • Use introduction, body paragraph, and conclusion headings
  • Your paper should have 1,500 words maximum
  • At least 5 references of an academic or scholarly source are required for this paper.  You are expected to use academic sources in peer-reviewed databases or Internet sources, such as: “.org”, “.edu”, “.mil”, “.gov”, “.zm”  Sources not allowed are Dictionaries, wikis, or blogs.
  • Use APA, writing style for in-text citations, and each reference source that you use.  Remember, all wording that is not your own must be cited.
  • Limit the use of direct quotes. Direct quotes should not exceed 1/4 page in total.  Deductions will result if this rule is violated.
  • The cover sheet should include name and course information
  • Include a reference page in APA style

You can access the file by clicking the link below:

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your dataset

 Instructions:

1)      Exam questions contains four pages. You have to work alone. You are welcome to use lecture notes and any other supplementary materials;

2)      For the exam, you must find your dataset from the midexam_data.xlsx file. We will refer to it as “your dataset”. This data is different for everybody. For Questions 1 and 2 you should your own data. The student who uses another person’s dataset will receive an automatic zero grade.

3)      Please submit your final answers in word format. I prefer typing. If you use handwriting, make sure that it is legible. Otherwise, your mid-term mark will be affected.

4)      When you submit your exam paper, please put your full name in the document and sent to my email. Please note re-submission of the paper is not acceptable.

5)      In all answers show your calculations. The answers without the way of calculations will affect the grade.