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Regression modeling

Use the data to construct a model that predicts the tax assessment value assigned to medical office buildings with specific characteristics.

Construct a scatter plot in Excel with FloorArea as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
Use Excel’s Analysis ToolPak to conduct a regression analysis of FloorArea and AssessmentValue. Is FloorArea a significant predictor of AssessmentValue?
Construct a scatter plot in Excel with Age as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
Use Excel’s Analysis ToolPak to conduct a regression analysis of Age and Assessment Value. Is Age a significant predictor of AssessmentValue?
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?

Sample Solution

Despite China’s assertive position in the region, this has not stopped U.S. intervention. In reaction to the reclamation and militarization of islands, the U.S. has conducted several FONOPs throughout the region. By sending its military vessels within 12 nautical miles of the Chinese reclaimed islands, the U.S. seeks to excise the right to freedom of navigation in international waters and demonstrate the illegitimacy of China’s claim to territorial seas. Since May 2017, the U.S. has conducted a total of six FONOPs, triggering aggressive responses from China on multiple occasions (CFR 2018). Most notably, in September 2018, a Chinese warship, Luyang sailed within 45 yards of U.S. destroyer, the USS Decatur, while it was conducting a FONOP around Gaven Reef in the Spratly Islands. The move was met with condemnation, with U.S. Pacific Fleet spokesman, Commander Nate Christensen saying the Chinese destroyer had approached in “an unsafe and unprofessional manoeuvre in the vicinity of Gaven Reef in the South China Sea” (Hutchens 2018). China’s defence ministry responded saying that the operation was a “serious threat to China’s sovereignty and security, seriously damaging Sino-U.S. military ties and seriously harming regional peace and stability” (BBC 2018). The U.S. sees FONOPs as vital in maintaining its interests in the region, and increased commitments to the Asia-Pacific region have shown a willingness to engage in the region. U.S. PACOM Commander, Chief Admiral Harry B. Harris JR, expressed a continued support for FONOPs, saying, “the United States will continue to fly, sail and operate wherever international law allows, and support the right of all nations to do the same” (CFR 2018). Continued U.S. commitment to operating in the region reveals that although China’s military capacity and influence have grown significantly, it has not grown beyond U.S.’s willingness to be involved, suggesting that the notion of rules-based international norms, although weakened, still exists in the S
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