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?
  • 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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