BUSINESS APPLIED STATISTICS
Scenario
You have been hired by the D. M. Pan National Real Estate Company to develop a model to predict median housing prices for homes sold in 2019. The CEO of D. M. Pan wants to use this information to help their real estate agents better determine the use of square footage as a benchmark for listing prices on homes. Your task is to provide a report predicting the median housing prices based on square footage. To complete this task, use the provided real estate data set for all U.S. home sales as well as national descriptive statistics and graphs provided.
Directions
Using the Project One Template located in the What to Submit section, generate a report including your tables and graphs to determine if the square footage of a house is a good indicator for what the listing price should be. Reference the National Statistics and Graphs document for national comparisons and the Real Estate County Data spreadsheet (both found in the Supporting Materials section) for your statistical analysis.
Note: Present your data in a clearly labeled table and using clearly labeled graphs.
Specifically, include the following in your report:
Introduction
Data Collection
Data Analysis
Develop Your Regression Model
Determine the Line of Best Fit. Clearly define your variables. Find and interpret the regression equation. Assess the strength of the model.
Conclusions
To complete this project, you must submit the following:
Project One Template: Use this template to structure your report, and submit the finished version as a Word document.
Requirements: Template
[Note: To complete this template, replace the bracketed text with your own content. Remove this note before you submit your outline.]
Report: Median Housing Price Prediction Model for D. M. Pan National Real Estate Company
[Your Name]
Southern New Hampshire University
[Describe the report: Include in this section a brief overview, including the purpose of the report and your approach.]
[Sampling the data: Outline how you obtained your sample data, including the response and predictor variables.]
[Scatterplot: Insert a correctly labeled scatterplot of your chosen variables.]
[Describe your study briefly. Discuss the requirements of the data sets for a linear regression. Explain the difference between response and predictor variables in a linear regression to justify the selection of variables.]
[Histogram: Insert the histogram of the two variables. Be sure to include appropriate labels.]
[Summary statistics: Insert a table to show the summary statistics.]
[Interpret the graphs and statistics: Describe the shape, center, spread, and any unusual characteristic (outliers, gaps, etc.) and what they mean based on your sample data and the graphs you created.]
[Explain how these characteristics of the sample data compare to the same characteristics of the national population. Also, determine whether your sample is representative of the national housing market sales.]
[Scatterplot: Include the scatterplot graph of the sample with a line of best fit.]
[Based on your graph, explain whether a regression model can be developed for the data and how.]
[Discuss associations: Explain the associations in the scatterplot, including the direction, strength, form in the context of your model.]
[Find r: Calculate the correlation coefficient and explain how it aligns with your interpretation of the data from the scatterplot.]
[Regression equation: Insert the regression equation.]
[Interpret regression equation: Interpret the slope and intercept in context.]
[Strength of the equation: Interpret the strength of the regression equation, R-squared.]
[Use regression equation to make predictions: Use the regression equation to make a sample prediction.]
[Summarize findings: Summarize your findings in clear and concise plain language. Outline any questions arising from the study that might be interesting for follow-up research.]
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