FloorArea (Sq.Ft.) Offices Entrances Age AssessedValue ($'000) 4790 4 2 8 1796 4720 3 2 12 1544 5940 4 2 2 2094 5720 4 2 34 1968 3660 3 2 38 1567 5000 4 2 31 1878 2990 2 1 19 949 2610 2 1 48 910 5650 4 2 42 1774 3570 2 1 4 1187 2930 3 2 15 1113 1280 2 1 31 671 4880 3 2 42 1678 1620 1 2 35 710 1820 2 1 17 678 4530 2 2 5 1585 2570 2 1 13 842 4690 2 2 45 1539 1280 1 1 45 433 4100 3 1 27 1268 3530 2 2 41 1251 3660 2 2 33 1094 1110 1 2 50 638 2670 2 2 39 999 1100 1 1 20 653 5810 4 3 17 1914 2560 2 2 24 772 2340 3 1 5 890 3690 2 2 15 1282 3580 3 2 27 1264 3610 2 1 8 1162 3960 3 2 17 1447   Construct a multiple regression model. Use Excel’s Analysis ToolPak to conduct a regression analysis with AssessmentValue as the dependent variable and FloorArea, Offices, Entrances, and Age as independent variables. What is the overall fit r^2? What is the adjusted r^2? Which predictors are considered significant if we work with α=0.05? Which predictors can be eliminated? What is the final model if we only use FloorArea and Offices as predictors? Suppose our final model is: AssessedValue = 115.9 + 0.26 x FloorArea + 78.34 x Offices What wouldbe the assessed value of a medical office building with a floor area of 3500 sq. ft., 2 offices, that was built 15 years ago? Is this assessed value consistent with what appears in the database?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section: Chapter Questions
Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...
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FloorArea (Sq.Ft.) Offices Entrances Age AssessedValue ($'000)
4790 4 2 8 1796
4720 3 2 12 1544
5940 4 2 2 2094
5720 4 2 34 1968
3660 3 2 38 1567
5000 4 2 31 1878
2990 2 1 19 949
2610 2 1 48 910
5650 4 2 42 1774
3570 2 1 4 1187
2930 3 2 15 1113
1280 2 1 31 671
4880 3 2 42 1678
1620 1 2 35 710
1820 2 1 17 678
4530 2 2 5 1585
2570 2 1 13 842
4690 2 2 45 1539
1280 1 1 45 433
4100 3 1 27 1268
3530 2 2 41 1251
3660 2 2 33 1094
1110 1 2 50 638
2670 2 2 39 999
1100 1 1 20 653
5810 4 3 17 1914
2560 2 2 24 772
2340 3 1 5 890
3690 2 2 15 1282
3580 3 2 27 1264
3610 2 1 8 1162
3960 3 2 17 1447

 

Construct a multiple regression model.

  • Use Excel’s Analysis ToolPak to conduct a regression analysis with AssessmentValue as the dependent variable and FloorArea, Offices, Entrances, and Age as independent variables. What is the overall fit r^2? What is the adjusted r^2?
  • Which predictors are considered significant if we work with α=0.05? Which predictors can be eliminated?
  • What is the final model if we only use FloorArea and Offices as predictors?
  • Suppose our final model is:
  • AssessedValue = 115.9 + 0.26 x FloorArea + 78.34 x Offices
  • What wouldbe the assessed value of a medical office building with a floor area of 3500 sq. ft., 2 offices, that was built 15 years ago? Is this assessed value consistent with what appears in the database?

 

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