What is the correct statement about the above expression? Select one: O a. It is an R² but with a penalty for having too many data points O b. Adjusted R2 is always larger than R²

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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SSE
R² =1-
/(N-K)
SST /(N − 1)
What is the correct statement about the above expression?
Select one:
O a.
It is an R² but with a penalty for having too many data points
O b. Adjusted R² is always larger than R²
O c.
It may be useful when the regression has a large number of independent variables
O d. It is an expression for the R²
Transcribed Image Text:SSE R² =1- /(N-K) SST /(N − 1) What is the correct statement about the above expression? Select one: O a. It is an R² but with a penalty for having too many data points O b. Adjusted R² is always larger than R² O c. It may be useful when the regression has a large number of independent variables O d. It is an expression for the R²
Expert Solution
Step 1

R2 measures the variation in the dependent variable that can be explained by the independent variable. For example, if R2 is 0.80, then 80% of the variation in the dependent variable will be explained by the independent variable. 

Formula:

R2 = 1 - (SSE / SST)

Where

SSE is sum of squared error

SST is sum of squared total

----------------------------------------

Adjusted R2 is the upgraded version of R2, which helps in finding how well the multiple regression fits the sample. It is always less than or equal to R2

Formula:

Adjusted R2 = 1 - [(SSE / N-K) / (SST / N-1)]

Where

SSE is the sum of squared error

SST is the sum of squared total

N is the total number of observation

K is the number of the independent variables

 

 

 

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