Question
Can I get a step-by-step for this project? I've already turned it in, but I am nervous about it and I want to be sure
Can I get a step-by-step for this project? I've already turned it in, but I am nervous about it and I want to be sure I've completed it correctly when it gets given back for us to update it; this will also help me in my notes. I often find I have trouble determining which numbers to use in each equation, so if whoever answers this could also note where and how each number is determined would be very helpful, as well, thank you. Here is the prompt:
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 Real Estate Data spreadsheet 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 listing price and the predictor variable (x) should be the square feet.
Specifically you must address the following rubric criteria, using the Assignment Template:
- 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 listing price and the square foot variables.
- Analyze Your Sample
- Discuss how the regional sample created is or is not reflective of the national market.
- Compare and contrast your sample with the population using the National Statistics and Graphs document.
- Explain how you have made sure that the sample is random.
- Explain your methods to get a truly random sample.
- Discuss how the regional sample created is or is not reflective of the national market.
- Generate Scatterplot
- Create a scatterplot of the x and y variables noted above and include a trend line and the regression equation
- 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 1,800 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?
- Answer the following questions based on the scatterplot:
- 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 the 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?
- Draw conclusions from the slope and intercept in the context of this problem.
- 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?
Here is the Assignment Template:
[Note:To complete this template, replace the bracketed text with your own content. Remove this note before you submit your outline.]
Report:Selling Price and Area Analysis forD.M. Pan National Real Estate Company
Introduction
[Include in this section a brief overview, including the purpose of the report.]
Representative Data Sample
[Present your simple random sample of 30, including the region you selected for your sample. Then identify the mean, median, and standard deviation of the listing price and the square foot variables.]
Data Analysis
[Discuss how the regional sample created is reflective of the national market. Compare and contrast your regional sample with the national population using the National Statistics and Graphs document.
Explain how you have made sure that the sample is random. Explain your methods to get a truly random sample.]
Scatterplot
[Insert a scatterplot graph of the sample using the x and y variables noted earlier. Include a trend line and regression equation.]
The Pattern
[Based on your graph, define each variable, and explain which variable will be useful for making predictions and why.]
[Describe the association between x and y in the scatterplot and determine its shape. Identify any outliers you see in the graph and explain why these occur and what they represent.]
[If you had a 1,800 square foot house, based on the regression equation in the graph, what price would you choose to list at? Explain.]
Regression Equation
[Insert the regression equation for the line of best fit using the scatterplot you created.]
Determine r
[Determine r and what it means, including determining the strength of the correlation and discussing how you determine the direction of the association between the two variables.]
Examine the Slope and Intercepts
[Draw conclusions from the slope and intercept in the context of this problem and determine the value of only the land.]
R-squared Coefficient
[Explain what R-squared means in the context of this analysis.]
Conclusions
[Reflect on the relationship between square feet and sales price by addressing key considerations such as the comparison between your selected region and overall homes in the United States, as well as analyzing how the slope can help identify price changes, how the regression equation can help identify appropriate listing prices, and what square footage ranges the graph would be best used for.]
Here are the National Statistics (the website won't allow me to upload photos, so I unfortunately can't show you the graphs):
n | Mean | Median | Std. Dev. | Min | Q1 | Q3 | Max | |
Listing price ($) | 1,000 | 342,365 | 318,000 | 125,914 | 135,300 | 265,250 | 381,600 | 987,600 |
Cost per square foot ($) | 1,000 | 169 | 166 | 41 | 71 | 139 | 191 | 344 |
Square feet | 1,000 | 2,111 | 1,881 | 921 | 1,101 | 1,626 | 2,215 | 6,516 |
Here is the Excel graph with the region I chose:
Real Estate County Data for 2019 | |||||
2019 Data (n=1000) | |||||
Region | State | County | listing price | $'s per square foot | square feet |
East North Central | in | grant | 219,500 | $116 | 1,898 |
East North Central | il | vermilion | 254,500 | $156 | 1,632 |
East North Central | in | henry | 235,000 | $148 | 1,588 |
East North Central | in | wayne | 203,800 | $141 | 1,441 |
East North Central | il | coles | 220,800 | $117 | 1,893 |
East North Central | il | macoupin | 197,600 | $111 | 1,783 |
East North Central | in | vigo | 165,800 | $122 | 1,362 |
East North Central | oh | jefferson | 246,500 | $136 | 1,814 |
East North Central | il | jackson | 154,300 | $105 | 1,463 |
East North Central | oh | marion | 149,700 | $116 | 1,296 |
East North Central | mi | bay | 145,100 | $117 | 1,239 |
East North Central | il | whiteside | 283,700 | $136 | 2,087 |
East North Central | oh | trumbull | 243,000 | $133 | 1,827 |
East North Central | in | madison | 229,100 | $187 | 1,224 |
East North Central | il | knox | 205,100 | $118 | 1,740 |
East North Central | il | stephenson | 235,600 | $140 | 1,682 |
East North Central | il | macon | 212,900 | $128 | 1,659 |
East North Central | in | delaware | 221,600 | $134 | 1,651 |
East North Central | il | henry | 257,700 | $123 | 2,087 |
East North Central | oh | seneca | 211,900 | $168 | 1,263 |
East North Central | oh | darke | 160,800 | $114 | 1,416 |
East North Central | oh | scioto | 204,200 | $131 | 1,562 |
East North Central | oh | belmont | 172,500 | $101 | 1,710 |
East North Central | oh | sandusky | 253,900 | $146 | 1,738 |
East North Central | il | rock island | 166,300 | $127 | 1,305 |
East North Central | oh | clark | 240,500 | $137 | 1,752 |
East North Central | oh | columbiana | 241,400 | $164 | 1,469 |
East North Central | in | howard | 304,300 | $152 | 1,996 |
East North Central | oh | richland | 248,900 | $132 | 1,880 |
East North Central | il | peoria | 187,900 | $131 | 1,434 |
East North Central | il | la salle | 311,100 | $154 | 2,015 |
East North Central | il | madison | 254,500 | $156 | 1,628 |
East North Central | mi | wayne | 213,800 | $172 | 1,243 |
East North Central | in | vanderburgh | 214,100 | $134 | 1,596 |
East North Central | oh | mahoning | 207,500 | $123 | 1,688 |
East North Central | il | williamson | 171,600 | $141 | 1,218 |
East North Central | il | winnebago | 236,700 | $140 | 1,692 |
East North Central | il | adams | 266,100 | $166 | 1,599 |
East North Central | mi | saginaw | 171,800 | $118 | 1,452 |
East North Central | oh | montgomery | 225,300 | $151 | 1,493 |
East North Central | oh | allen | 227,600 | $147 | 1,550 |
East North Central | oh | lucas | 228,300 | $115 | 1,978 |
East North Central | oh | ashtabula | 177,000 | $107 | 1,658 |
East North Central | oh | lawrence | 248,300 | $156 | 1,587 |
East North Central | oh | huron | 199,700 | $147 | 1,359 |
East North Central | il | tazewell | 278,700 | $165 | 1,693 |
East North Central | oh | summit | 185,800 | $101 | 1,847 |
East North Central | il | sangamon | 213,500 | $130 | 1,643 |
East North Central | oh | ashland | 188,000 | $151 | 1,246 |
East North Central | oh | tuscarawas | 270,700 | $149 | 1,815 |
East North Central | oh | ross | 257,200 | $127 | 2,018 |
East North Central | mi | shiawassee | 192,400 | $129 | 1,494 |
East North Central | mi | calhoun | 266,200 | $130 | 2,042 |
East North Central | il | kankakee | 148,700 | $115 | 1,293 |
East North Central | in | lawrence | 270,600 | $137 | 1,978 |
East North Central | wi | manitowoc | 181,400 | $140 | 1,294 |
East North Central | il | st. clair | 201,400 | $164 | 1,225 |
East North Central | mi | ingham | 222,500 | $125 | 1,777 |
East North Central | il | mclean | 203,800 | $134 | 1,526 |
East North Central | mi | jackson | 139,200 | $116 | 1,201 |
East North Central | mi | isabella | 163,000 | $125 | 1,307 |
East North Central | wi | wood | 266,500 | $144 | 1,853 |
East North Central | mi | montcalm | 218,300 | $105 | 2,081 |
East North Central | wi | grant | 243,200 | $121 | 2,014 |
East North Central | oh | cuyahoga | 265,100 | $136 | 1,947 |
East North Central | oh | stark | 201,000 | $163 | 1,230 |
East North Central | oh | athens | 246,400 | $158 | 1,560 |
East North Central | wi | milwaukee | 184,900 | $111 | 1,666 |
East North Central | mi | lenawee | 191,500 | $118 | 1,628 |
East North Central | wi | fond du lac | 135,300 | $103 | 1,312 |
East North Central | in | st. joseph | 193,000 | $111 | 1,736 |
East North Central | mi | ionia | 193,600 | $137 | 1,416 |
East North Central | mi | genesee | 194,800 | $166 | 1,173 |
East North Central | oh | muskingum | 188,300 | $94 | 1,999 |
East North Central | il | ogle | 236,600 | $208 | 1,138 |
East North Central | oh | washington | 324,400 | $156 | 2,081 |
East North Central | oh | wayne | 256,700 | $129 | 1,986 |
East North Central | mi | muskegon | 230,400 | $131 | 1,757 |
East North Central | oh | pickaway | 265,700 | $143 | 1,853 |
East North Central | mi | st. joseph | 188,500 | $135 | 1,397 |
East North Central | il | champaign | 246,700 | $121 | 2,031 |
East North Central | oh | knox | 192,200 | $127 | 1,510 |
East North Central | oh | lorain | 226,200 | $126 | 1,789 |
East North Central | wi | calumet | 226,400 | $111 | 2,033 |
East North Central | mi | midland | 174,500 | $151 | 1,157 |
East North Central | mi | marquette | 172,500 | $120 | 1,433 |
East North Central | in | elkhart | 202,300 | $182 | 1,113 |
East North Central | mi | monroe | 228,600 | $136 | 1,679 |
East North Central | oh | lake | 225,900 | $135 | 1,676 |
East North Central | mi | eaton | 189,900 | $96 | 1,976 |
East North Central | wi | douglas | 461,400 | $129 | 3,581 |
East North Central | wi | marathon | 431,200 | $119 | 3,638 |
East North Central | il | dekalb | 347,500 | $97 | 3,574 |
East North Central | in | marion | 323,300 | $95 | 3,408 |
East North Central | in | allen | 398,000 | $113 | 3,525 |
East North Central | oh | hancock | 380,300 | $94 | 4,028 |
East North Central | in | lake | 470,600 | $109 | 4,316 |
East North Central | wi | portage | 531,000 | $109 | 4,888 |
East North Central | wi | rock | 513,100 | $104 | 4,950 |
East North Central | oh | greene | 581,800 | $113 | 5,146 |
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