Question: 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
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 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.
Note: In the report you prepare for the sales team, the dependent, or response, variable (y) should be the listing price and the independent, or predictor, variable (x) should be the square feet.
Using the Module Three Assignment Template Word Document, specifically address the following:
- 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?
- 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?
- Insert the regression equation for the line of best fit using the scatterplot from your Module Two assignment
- Determine r and what it means and describes the direction, strength of correlation, and association between the variables
- Draw conclusions from the slope and intercept in the context of this problem and determine the value of only the land
- Explain what R-squared means in the context of this analysis
- 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
- Summary Statistics for MAT 240 Real Estate Data (for dataset in Modules 2, 3, and 4) 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 This graph shows the frequency for listing price. This graph shows the frequency for square feet.
| Mid Atlantic | nj | atlantic | 214,600 | $173 | 1,239 | |
| Mid Atlantic | nj | burlington | 309,600 | $169 | 1,833 | |
| Mid Atlantic | nj | camden | 238,700 | $208 | 1,148 | |
| Mid Atlantic | nj | cape may | 351,300 | $199 | 1,763 | |
| Mid Atlantic | nj | cumberland | 314,800 | $260 | 1,209 | |
| Mid Atlantic | nj | gloucester | 253,300 | $209 | 1,211 | |
| Mid Atlantic | nj | hudson | 290,300 | $194 | 1,498 | |
| Mid Atlantic | nj | hunterdon | 352,500 | $249 | 1,415 | |
| Mid Atlantic | nj | mercer | 446,400 | $220 | 2,032 | |
| Mid Atlantic | nj | monmouth | 278,800 | $241 | 1,159 | |
| Mid Atlantic | nj | ocean | 316,000 | $156 | 2,028 | |
| Mid Atlantic | nj | salem | 237,000 | $201 | 1,182 | |
| Mid Atlantic | dc | district of columbia | 286,600 | $212 | 1,349 | |
| Mid Atlantic | de | kent | 370,000 | $224 | 1,653 | |
| Mid Atlantic | de | new castle | 343,700 | $179 | 1,921 | |
| Mid Atlantic | de | sussex | 323,300 | $164 | 1,972 | |
| Mid Atlantic | md | calvert | 302,200 | $198 | 1,529 | |
| Mid Atlantic | md | carroll | 361,100 | $180 | 2,007 | |
| Mid Atlantic | md | cecil | 357,700 | $201 | 1,779 | |
| Mid Atlantic | md | charles | 309,700 | $154 | 2,012 | |
| Mid Atlantic | md | frederick | 263,600 | $212 | 1,246 | |
| Mid Atlantic | md | harford | 243,000 | $178 | 1,364 | |
| Mid Atlantic | md | howard | 310,200 | $182 | 1,703 | |
| Mid Atlantic | md | montgomery | 317,000 | $170 | 1,866 | |
| Mid Atlantic | md | prince george's | 379,600 | $276 | 1,377 | |
| Mid Atlantic | md | queen anne's | 273,400 | $190 | 1,436 | |
| Mid Atlantic | md | st. mary's | 295,900 | $196 | 1,510 | |
| Mid Atlantic | md | washington | 282,100 | $152 | 1,851 | |
| Mid Atlantic | md | wicomico | 353,900 | $265 | 1,335 | |
| Mid Atlantic | md | worcester | 274,400 | $226 | 1,215 | |
| Mid Atlantic | md | allegany | 265,100 | $221 | 1,201 | |
| Mid Atlantic | md | anne arundel | 355,200 | $183 | 1,942 | |
| Mid Atlantic | md | baltimore | 311,800 | $162 | 1,921 | |
| Mid Atlantic | md | baltimore city | 351,000 | $189 | 1,861 | |
| Mid Atlantic | va | albemarle | 431,000 | $228 | 1,893 | |
| Mid Atlantic | va | alexandria city | 357,200 | $214 | 1,673 | |
| Mid Atlantic | va | arlington | 238,100 | $145 | 1,646 | |
| Mid Atlantic | va | augusta | 336,700 | $206 | 1,638 | |
| Mid Atlantic | va | bedford | 242,600 | $198 | 1,224 | |
| Mid Atlantic | va | campbell | 372,000 | $218 | 1,703 | |
| Mid Atlantic | va | charlottesville city | 310,800 | $187 | 1,662 | |
| Mid Atlantic | va | chesapeake city | 343,400 | $221 | 1,555 | |
| Mid Atlantic | va | chesterfield | 235,700 | $160 | 1,476 | |
| Mid Atlantic | va | danville city | 272,400 | $192 | 1,417 | |
| Mid Atlantic | va | fairfax | 390,100 | $214 | 1,826 | |
| Mid Atlantic | va | fauquier | 254,100 | $219 | 1,162 | |
| Mid Atlantic | va | franklin | 303,100 | $205 | 1,475 | |
| Mid Atlantic | va | frederick | 274,900 | $189 | 1,453 | |
| Mid Atlantic | va | hampton city | 267,200 | $156 | 1,716 | |
| Mid Atlantic | va | hanover | 273,300 | $138 | 1,979 | |
| Mid Atlantic | va | henrico | 248,100 | $171 | 1,451 | |
| Mid Atlantic | va | henry | 361,200 | $260 | 1,390 | |
| Mid Atlantic | va | james city | 271,300 | $209 | 1,296 | |
| Mid Atlantic | va | loudoun | 259,000 | $179 | 1,450 | |
| Mid Atlantic | va | lynchburg city | 346,400 | $180 | 1,922 | |
| Mid Atlantic | va | montgomery | 277,500 | $247 | 1,122 | |
| Mid Atlantic | va | newport news city | 296,900 | $178 | 1,667 | |
| Mid Atlantic | va | norfolk city | 359,900 | $177 | 2,030 | |
| Mid Atlantic | va | pittsylvania | 347,600 | $210 | 1,656 | |
| Mid Atlantic | va | portsmouth city | 407,500 | $231 | 1,765 | |
| Mid Atlantic | va | prince william | 294,100 | $144 | 2,036 | |
| Mid Atlantic | va | richmond city | 339,800 | $177 | 1,915 | |
| Mid Atlantic | va | roanoke | 348,200 | $170 | 2,054 | |
| Mid Atlantic | va | roanoke city | 248,900 | $195 | 1,277 | |
| Mid Atlantic | va | rockingham | 396,600 | $205 | 1,939 | |
| Mid Atlantic | va | spotsylvania | 340,500 | $199 | 1,708 | |
| Mid Atlantic | va | stafford | 306,800 | $153 | 2,007 | |
| Mid Atlantic | va | suffolk city | 291,400 | $183 | 1,594 | |
| Mid Atlantic | va | virginia beach city | 322,500 | $167 | 1,927 | |
| Mid Atlantic | va | washington | 373,200 | $182 | 2,050 | |
| Mid Atlantic | va | york | 320,900 | $171 | 1,878 | |
| Mid Atlantic | md | prince george's | 317,100 | $166 | 1,906 | |
| Mid Atlantic | md | queen anne's | 239,100 | $142 | 1,683 | |
| Mid Atlantic | md | st. mary's | 292,400 | $150 | 1,948 | |
| Mid Atlantic | md | washington | 222,100 | $164 | 1,356 | |
| Mid Atlantic | md | wicomico | 339,100 | $172 | 1,973 | |
| Mid Atlantic | md | worcester | 355,800 | $185 | 1,923 | |
| Mid Atlantic | md | allegany | 329,100 | $192 | 1,716 | |
| Mid Atlantic | md | anne arundel | 258,800 | $184 | 1,405 | |
| Mid Atlantic | md | baltimore | 354,100 | $210 | 1,686 | |
| Mid Atlantic | md | baltimore city | 241,400 | $170 | 1,419 | |
| Mid Atlantic | va | albemarle | 381,800 | $207 | 1,845 | |
| Mid Atlantic | va | alexandria city | 296,300 | $262 | 1,130 | |
| Mid Atlantic | va | arlington | 323,700 | $245 | 1,322 | |
| Mid Atlantic | va | portsmouth city | 279,900 | $165 | 1,696 | |
| Mid Atlantic | va | prince william | 281,400 | $179 | 1,573 | |
| Mid Atlantic | va | richmond city | 235,800 | $160 | 1,472 | |
| Mid Atlantic | va | roanoke | 286,900 | $220 | 1,307 | |
| Mid Atlantic | va | roanoke city | 265,400 | $228 | 1,163 | |
| Mid Atlantic | va | rockingham | 313,400 | $210 | 1,490 | |
| Mid Atlantic | va | spotsylvania | 574,800 | $166 | 3,463 | |
| Mid Atlantic | nj | hudson | 444,400 | $140 | 3,168 | |
| Mid Atlantic | nj | hunterdon | 459,300 | $142 | 3,237 | |
| Mid Atlantic | nj | mercer | 456,100 | $139 | 3,288 | |
| Mid Atlantic | nj | monmouth | 524,900 | $119 | 4,428 | |
| Mid Atlantic | nj | ocean | 547,400 | $131 | 4,178 | |
| Mid Atlantic | nj | salem | 535,300 | $133 | 4,020 | |
| Mid Atlantic | dc | district of columbia | 690,000 | $132 | 5,227 | |
| Mid Atlantic | de | kent | 580,600 | $116 | 4,985 | |
| Mid Atlantic | de | new castle | 580,200 | $130 | 4,479 |
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