Regression Equation

You have submitted your initial analysis to the sales team at D.M. Pan Real Estate Company. You will continue your analysis of the provided Real Estate Data Spreadsheet using your selected region to complete your analysis. You may refer back to the initial report you developed in the Module Two Assignment Template to continue the work. This document and the National Summary Statistics and Graphs Real Estate Data PDF spreadsheet will support your work on the assignment.

Regression Equation: Provide the regression equation for the line of best fit using the scatterplot from the Module Two assignment.
Determine r: Determine r and what it means. (What is the relationship between the variables?)
Determine the strength of the correlation (weak, moderate, or strong).
Discuss how you determine the direction of the association between the two variables.
Is there a positive or negative association?
What do you see as the direction of the correlation?
Examine the Slope and Intercepts: Examine the slope b1 and intercept b0.
Draw conclusions from the slope and intercept in the context of this problem.
Does the intercept make sense based on your observation of the line of best fit?
Determine the value of the land only.
Note: You can assume, when the square footage of the house is zero, that the price is the value of just the land. This happens when x=0, which is the y-intercept. Does this value make sense in context?
Determine the R-squared Coefficient: Determine the R-squared value.
Discuss what R-squared means in the context of this analysis.
Conclusions: Reflect on the Relationship: Reflect on the relationship between square feet and sales price by answering the following questions:
Is the square footage for homes in your selected region different than for homes overall in the United States?
For every 100 square feet, how much does the price go up (i.e., can you use slope to help identify price changes)?
What square footage range would the graph be best used for?

Full Answer Section

       
  • Examine the slope and intercept, drawing conclusions and determining the value of the land only.
  • Discuss what R-squared means.
  • Reflect on the relationship between square feet and sales price, including comparisons to national data and identifying the best-use square footage range.

Sample Answer

     

It seems you're asking me to continue an analysis of real estate data, building upon previous work from "Module Two." However, I don't have access to the specific data from your "Real Estate Data Spreadsheet," "National Summary Statistics and Graphs Real Estate Data PDF spreadsheet," or your "Module Two Assignment Template." To help you, I need that information.

Please provide me with the following, so I can complete your analysis:

  1. Your selected region: Which region are you focusing on for this analysis?
  2. The regression equation from your Module Two scatterplot: This is crucial for me to proceed with the requested calculations. It should be in the form of .
  3. The value of 'r' (correlation coefficient) you determined in Module Two.
  4. The R-squared value you determined in Module Two.
  5. A description of the data: While I can't see the spreadsheet, a general idea of the range of square footage and sales prices in your region would be helpful for interpreting the results.
  6. Any relevant summary statistics or graphs from the "National Summary Statistics and Graphs Real Estate Data PDF spreadsheet" that you think are important for comparison.

Once I have this information, I can help you with each point in your request:

  • Determine what 'r' means and the strength of the correlation.
  • Discuss the direction of the association.