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For Suppose a commercial developer is considering purchasing a group of small office buildings in an established business district. The developer can use multiple linear

  1. For Suppose a commercial developer is considering purchasing a group of small office buildings in an established business district. The developer can use multiple linear regression analysis to estimate the value of an office building in each area based on the following variables.

y = Assessed value of the office building

x1 = Floor space in square feet

x2 = Number of offices

x3= Number of entrances

x4 = Age of the office building in years

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.99837267

R Square

0.99674799

Adjusted R Square

0.99457999

Standard Error

970.578463

Observations

11

ANOVA

Df

SS

MS

F

Regression

4

1732393319

4.33E+08

459.7536742

Residual

6

5652135.316

942022.6

Total

10

1738045455

Coefficients

Standard Error

t Stat

P-value

Intercept

52317.8305

12237.3616

4.275254

0.005232793764

Floor Space (x1)

27.6413874

5.429374042

5.091082

0.002240962381

Offices (x2)

12529.7682

400.0668382

31.31919

0.000000070386

Entrances (x3)

2553.21066

530.6691519

4.811304

0.002966281803

Age (x4)

-234.23716

13.26801148

-17.6543

0.000002120610

  1. Write down the multiple regression equation. (2 Marks)
  2. How much is the % variation in the value of an office building that is explained by the independent variables. (1 Marks)
  3. Interpret the regression coefficients X3. (1 Marks)
  4. At the 5% level of significance, which of the 4 independent variables is NOT statistically significant in the determination of the value of an office building? Explain your answer. (1 Marks)

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