Date: October 29th, 2016 Research Proposal Introduction: The USA Company wants to study the relationship between the house size, house price and number of bedrooms. For this research study the company assume the price of the house as the dependent variable or response variable. The variables house size and number of bedrooms is considered as the independent variables for this study. Let us see this study in detail given as below: Data collection: The data is collected for the 30 houses. The data is collected for the variables house size, number of bedrooms and house price. The sample data is given as below: House size (sq.ft) 800 900 1200 900 1500 1100 800 1050 1150 1100 900 1050 1050 1100 1400 Number of bedrooms 2 1 1 3 2 3 1 2 1 3 3 3 3 3 3 House Price ($) 682400 792000 1025600 756000 1233600 914400 662400 844000 964800 908800 763200 874400 899200 920800 1152600 Research Process or Statistical analysis: House size (sq.ft) 1400 850 1200 1150 1300 700 750 1450 1150 850 1250 1050 1350 1000 1100 Number of bedrooms 3 3 1 1 1 1 2 3 2 3 3 2 1 3 2 House Price ($) 1152600 756800 964800 980000 1116800 590400 654400 1217600 942400 680800 1034400 892800 1130400 852000 899200 In this topic, we have to see the statistical analysis for the variables included in the study. First of all we would like to use the descriptive statistics for the variables included in the study. Then we will find out the relationships between the pairs of variables by using the scatter diagrams. For the estimation of the house prices, we will develop a regression model based on the house size and the number of bedrooms. Purpose Statement \"The dependent variable price of house is determined by independent variables house size, and number of bedrooms.\" \"The most important independent variable in this relationship is house size because it gives the more correlation coefficient or shows the strong linear association.\" Expected Outcomes: I) II) We will reject the Null hypothesis that There is no any linear relationship exists between the size of house, number of bedrooms and price of the house. The correlation coefficient between the size and price of the house would be very high. This will indicate that there is strong association between the size and price of the house. References Cochran, William G.; Cox, Gertrude M. (1992). Experimental designs (2nd Ed.), New York: Wiley. Lehmann, E.L. (1959) Testing Statistical Hypotheses. John Wiley & Sons. Montgomery, Douglas C. (2001). Design and Analysis of Experiments (5th Ed.), New York: Wiley. In Unit 2 you submitted the following As preparation for the final research paper, formulate a theory about the correlation between measurable independent variables (causes) and one measurable dependent variable (the effect). Be sure to have at least two independent variables for proposed research paper. The topic proposal should include the following four items which serve as the foundation for the final research paper after instructor feedback is given. Unit 5: 50 points Create a draft of your report including the data. This copy of the data may be in an Excel spreadsheet. **Below is a copy of the requirements for your proposal from Unit 2. Points are assigned for Unit 5 work as listed on each item. 1) Purpose Statement [10pts] In one paragraph, state the correlation and identify the primary independent variables. State the correlation as in the following: \"The dependent variable _______ is determined by independent variables ________, _________, ________, and ________.\" Identify and defend the \"primary\" independent variable, or the variable believed to have the strongest impact on the dependent variable: \"The most important independent variable in this relationship is ________ because _________.\" 2) Definition of Variables [10pts] For each variable, write a single definition paragraph talking about the variable. Paragraphs should be in this order: dependent variable, primary independent variable, and three independent variables. In addition to defining the independent variables, defend why each determines the dependent variable. For the primary independent variable, at least two research sources that discuss the variable also must be cited. These sources need not be technical documents but should contain evidence to justify the relationship between the primary independent variable and the dependent variable. List these sources in the Works Cited (reference) page. **Note: Citations from encyclopedias, Wikipedia, blogs, abstracts, or nongovernmental websites are not acceptable research sources. 3) Data Description [10pts] For each of the variables, at least 30 observations of crosssectional data must be obtained. Thus for the final research paper, a data matrix that is at least 30 rows by numbers of variables must be presented. In one paragraph, identify the data sources and describe the data (i.e., which government agencies supply the data, which methods are used to compile them, when they were collected, etc.). 4) Works Cited Page [10pts] The final page of the proposal should be a Works Cited page listing the two research sources for the primary independent variable and the data sources, with a separate citation for each table of data, including specific table numbers for each of the sources. 5) Data [10pts]