Question

Linear Regression: Use Data Analysis in Excel to conduct the Regression Analysis to reproduce the excel...

Linear Regression:

Use Data Analysis in Excel to conduct the Regression Analysis to reproduce the excel out put below (Note: First enter the data in the next page in an Excel spreadsheet)

Home Sale Price: The table below provides the Excel output of a regression analysis of the relationship between Home sale price(Y) measured in thousand dollars and Square feet area (x):  

SUMMARY OUTPUT

Dependent:

Home Price

($1000)

Regression Statistics

Multiple R

0.691

R Square

0.478

Adjusted R Square

0.465

Standard Error

27.21

Observations

80

ANOVA

df

SS

MS

F

Significance F

Regression

2

52378.32252

26189.16126

35.36552756

1.27417E-11

Residual

77

57020.65136

740.5279397

Total

79

109398.9739

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

11.581

29.82

0.388

0.698755345

-47.80910537

70.98276434

Size(Sqft)

0.069

0.014

5.56

3.67568E-07

0.044314403

0.093711307

Bathrooms

17.807

7.33

2.42

0.017548601

3.198869475

32.41601103

  1. The value of R2, the measure of goodness of fit of the model, is 0.46. Explain what that means. Is this a good fit?
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Answer #1

Answer: R2 is 0.46 which indicates that 46% of the variation in home sale price can be explained by the regression model.

It is not a good fit because 46% out of 100% is not high.

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