Need a college level statistics paper done on linear regression.
Buying a House
Your future house is a 3200 square foot house that you had designed especially for your family. For years, you have had the plans for your future house; however, you have been looking for that perfect neighborhood in which to build this house.
Good news! You have found the perfect neighborhood in which to build your future house. The developer requires that you contract with them to build your future house. Since, your future house is not a floor plan they currently offer, you will need to negotiate a fair price for the house.
The only pricing information you have is displayed in the following table which you found on their website.
House Plan Sq Feet Beds Baths Stories CarSpaces Price
A 1,741 4 2 1 2 $146,990
B 1,847 4 2 1 2 $151,990
C 1,965 3 2 1 2 $157,990
D 2,062 4 2 1 2 $165,990
E 2,095 4 2 2 2 $167,990
F 2,097 4 2 - 1 1 2 $170,990
G 2,201 4 2 1 3 $172,990
H 2,221 4 2 2 2 $175,990
I 2,310 4 2.5 2 2 $176,990
J 2,323 4 3 1 3 $179,990
K 2,260 4 3 2 2 $184,990
L 2,507 5 3 2 2 $186,990
M 2,687 4 2 2 3 $189,990
N 2,900 4 2.5 2 2 $190,990
O 3,026 5 3 2 2 $191,990
P 2,657 4 3 2 2 $199,990
Q 2,818 4 3 2 3 $199,990
R 3,402 5 3 2 2 $202,990
You are to create a proposal letter that you will provide to the builder with the proper mathematical calculations to substantiate your claim that your proposal is valid and one he should consider accepting. In this proposal, you will introduce yourself, express your desire to build your future house, provide a logical progression of how you decided upon the fair price, and submit a monetary offer for the construction of your new future house in this perfect neighborhood.
Remember that the topic this week is Linear Regression. Your proposal should provide the data you used to create the model, the linear model (formula and graph), the correlation coefficient, coefficient of determination, the predicted price, and any other information you feel is necessary to support your claim for the proposed price for your future house.
Also remember that this is a paper and should be treated as such. This paper should be double spaced with font no smaller than 12-point and include the following: a title page, an introduction with a statement of your problem, the body which includes the table of pertinent values, your computations with a clear and concise explanation of the formula that you derived, the variables used, clearly defined corresponding graph/s, and an explanation defining the procedure you used to get to your predicated price, your proposal letter stating your claim that he should be able to build your future house for the price that you feel is fair given the accompanying computations, and a conclusion that summarizes your findings. Throughout the paper, write in grammatically correct sentences and paragraphs. As a general guide, the reader should be able to understand your report without looking at this assignment sheet.
On the next page you will find a rubric I will be using to grade your report. Use it as a checklist to make sure you have included everything that is required. When writing mathematics papers, remember:
1. Variables and equations should be in italics. Use Insert/Equation in WORD. Equations should be centered and numbered if more than one is used in your paper and you wish to refer to them later.
2. Never start a sentence with a variable name or numerical value.
3. Define all variables immediately before they first appear.
4. Use standard math notation (look at equations in your book).
5. To number and put captions on all figures. Refer to them in your text.
6. Graphs should be placed within the text, not at the end of the paper.