Attached is your last project of the semester.
This is a paper and should be treated as such. Please refer to the rubric at the end of the assignment to make sure you include all of the parts to get the maximum number of points.
The letter is a business letter, so make sure the proposal is a convincing one. The paper is to support the price of the proposed amount included in the letter.
Your dream home is a 3600 square foot home that you had designed especially for your family. For years, you have had the plans for your dream home; however, you have been looking for that perfect neighborhood in which to build this home.
Today is your lucky day! You have found the perfect neighborhood in which to build your dream home. The developer requires that you contract with them to build your dream home. Since, your dream home is not a floor plan they currently offer, you will need to negotiate a fair price for the home.
The only pricing information you have is displayed in the following table which you found on their website.
—-table would not attach–to be submitted via additional upload—
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. The proposal letter is a summary of your finding and should be placed at the very beginning of the paper after the title page. In this proposal, you will introduce yourself, express your desire to build your dream home, provide a logical progression of how you decided upon the fair price, and submit a monetary offer for the construction of your new dream home in this perfect neighborhood. All supporting data will follow the letter in progression of completion.
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 dream home.
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, which should be on one page, your computations for the equations 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 dream home 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.
When writing mathematics papers, remember:
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.
Never start a sentence with a variable name or numerical value in digit form.
Define all variables immediately before they first appear.
Use standard math notation (look at equations in your book).
To number and put captions on all figures. Refer to those in your text.
Graphs should be placed within the text, not at the end of the paper.
Grading: Total of 50 points
Remember to double-space your document, otherwise, 2 points will be deducted from your overall score.
Title Page: 3 points
The letter to the builder (Business letter): 6 points
Introduction: 3 points
Center Table of values used to create the equation and graph: 5 points
Defined variables, What do the variables mean?: 5 points
Computations: Equations, centered, showing all steps,y ̂, r, r^2, : 12 points
Equation’s explanation in paragraph form: 5 points
Predicted price for the house: 3 points
Scatterplot and linear function graphs on one set of axes: 5 points
Conclusion: 3 points
The contents of this paper should be in the order shown above.
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