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 Module Two 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. 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 18E: Tax Table Here are selected entries from the 2014 tax table that show the federal income tax owed by...
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Scenario

Smart businesses in all industries use data to provide an intuitive analysis of how they can get a competitive advantage. The real estate industry heavily uses linear regression to estimate home prices, as cost of housing is currently the largest expense for most families. Additionally, in order to help new homeowners and home sellers with important decisions, real estate professionals need to go beyond showing property inventory. They need to be well versed in the relationship between price, square footage, build year, location, and so many other factors that can help predict the business environment and provide the best advice to their clients.

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 Module Two 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.
  • 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?
listing price
347,500
256,700
265,700
Region
State
County
$'s per square foot square feet
$97
$129
$143
$113
$129
$187
$140
$152
$156
$156
$95
3,574 0.482482
1,986 0.349674
1,853 0.915247
5,146 0.084022
1,494 0.345553
1,224 0.874273
1,294 0.636274
1,996 0.428493
1,628 0.459988
1,632 0.326457
3,408 0.120861
4,316 0.828438
1,562 0.760423
1,777 0.760877
1,588 0.489688
1,947 0.151024
1,692 0.549534
1,296 0.939514
1,999 0.422032
4,028 0.218561
1,596 0.959347
1,307 0.717554
2,087 0.374139
1,651 0.652486
2,081 0.812501
1,263 0.992269
1,880
1,113
1,682 0.980118
1,441 0.174717
East North Central il
dekalb
East North Central oh
wayne
East North Central oh
pickaway
581,800
192,400
229,100
181,400
304,300
254,500
254,500
323,300
470,600
204,200
222,500
235,000
East North Central oh
greene
East North Central mi
shiawassee
East North Central in
madison
East North Central wi
manitowoc
East North Central in
howard
East North Central il
madison
East North Central il
vermilion
East North Central in
marion
$109
$131
$125
$148
$136
$140
$116
$94
$94
$134
$125
$123
$134
$156
$168
$132
$182
$140
$141
East North Central in
lake
East North Central oh
scioto
ingham
henry
cuyahoga
winnebago
East North Central mi
East North Central in
265,100
236,700
149,700
188,300
380,300
214,100
163,000
257,700
221,600
324,400
211,900
248,900
202,300
235,600
203,800
East North Central oh
East North Central il
East North Central oh
marion
East North Central oh
muskingum
East North Central oh
hancock
East North Central in
vanderburgh
East North Central mi
isabella
East North Central il
henry
delaware
East North Central in
East North Central oh
washington
East North Central oh
seneca
East North Central oh
richland
0.45392
East North Central in
elkhart
0.0214
East North Central il
stephenson
East North Central in
wayne
260,896.67 Mean
236,150.00 Мedian
90,491.2474 Standard Deviation
Mean
2,051.37
1,687.00
999.1197
Median
Standard Deviation
Transcribed Image Text:listing price 347,500 256,700 265,700 Region State County $'s per square foot square feet $97 $129 $143 $113 $129 $187 $140 $152 $156 $156 $95 3,574 0.482482 1,986 0.349674 1,853 0.915247 5,146 0.084022 1,494 0.345553 1,224 0.874273 1,294 0.636274 1,996 0.428493 1,628 0.459988 1,632 0.326457 3,408 0.120861 4,316 0.828438 1,562 0.760423 1,777 0.760877 1,588 0.489688 1,947 0.151024 1,692 0.549534 1,296 0.939514 1,999 0.422032 4,028 0.218561 1,596 0.959347 1,307 0.717554 2,087 0.374139 1,651 0.652486 2,081 0.812501 1,263 0.992269 1,880 1,113 1,682 0.980118 1,441 0.174717 East North Central il dekalb East North Central oh wayne East North Central oh pickaway 581,800 192,400 229,100 181,400 304,300 254,500 254,500 323,300 470,600 204,200 222,500 235,000 East North Central oh greene East North Central mi shiawassee East North Central in madison East North Central wi manitowoc East North Central in howard East North Central il madison East North Central il vermilion East North Central in marion $109 $131 $125 $148 $136 $140 $116 $94 $94 $134 $125 $123 $134 $156 $168 $132 $182 $140 $141 East North Central in lake East North Central oh scioto ingham henry cuyahoga winnebago East North Central mi East North Central in 265,100 236,700 149,700 188,300 380,300 214,100 163,000 257,700 221,600 324,400 211,900 248,900 202,300 235,600 203,800 East North Central oh East North Central il East North Central oh marion East North Central oh muskingum East North Central oh hancock East North Central in vanderburgh East North Central mi isabella East North Central il henry delaware East North Central in East North Central oh washington East North Central oh seneca East North Central oh richland 0.45392 East North Central in elkhart 0.0214 East North Central il stephenson East North Central in wayne 260,896.67 Mean 236,150.00 Мedian 90,491.2474 Standard Deviation Mean 2,051.37 1,687.00 999.1197 Median Standard Deviation
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