MAT 240 Statistics Homework

 You have been recently hired as a junior analyst by D.M. Pan Real Estate Company. The sales team has tasked you with preparing a report that examines the relationship between the selling price of properties and their size in square feet. You have been provided with a document that includes properties sold nationwide in recent years. The team has asked you to select a region, complete an initial analysis, and provide the report to the team.

Note: In the report you prepare for the sales team, the response variable (y) should be the median listing price and the predictor variable (x) should be the median square feet.

Specifically you must address the following rubric criteria, using the :

• Generate a Representative Sample of the Data
  
  • Select a region and generate a simple random sample of 30 from the data.
  • Report the mean, median, and standard deviation of the median listing price and the median square foot variables.
• Analyze Your Sample
  • Discuss how the regional sample created is reflective of the national market.
    
    • Compare and contrast your sample with the population using the document.
  • Explain how you have made sure that the sample is random.
    • Explain your methods to get a truly random sample.
• Generate Scatterplot
  • Create a scatterplot of the x and y variables noted above and include a trend line.
• Observe patterns
  • Answer the following questions based on the scatterplot:
    • Define x and y. Which variable is useful for making predictions?
    • Is there an association between x and y? Describe the association you see in the scatter plot.
    • What do you see as the shape (linear or nonlinear)?
    • If you had a 1,200 square foot house, based on the regression equation in the graph, what price would you choose to list at?
    • Do you see any potential outliers in the scatterplot?
      
      • Why do you think the outliers appeared in the scatterplot you generated?
      • What do they represent?