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Estimating COBB–Douglas
Production function in Excel
Pavan Kumar Thota
(M.Sc. Agricultural Statistics),
B.C.K.V, Kolkata, WB, INDIA
Where,
Y= dependent variable
X=explanatory(independent)variable
a=intercept
bi are regression coefficients
e=2.718………….
u=error term Follows N(0,constant variance)
This function is non linear in parameters so to make it linear in parameters apply ln both
sides then equation looks like
Yi=a X1ib1 X2ib2 X3ib3 eui
lnYi=lna+ b1lnX1i +b2lnX2i +b3lnX3i+ui
Steps
1. Open Excel, Give Variable Names and Provide Data
2. Apply Logarithmic Transformation to the Data
3. Go to Data analysis
4. Get Output
1. Open Excel , Give Variable Names and Provide
Data
Cobb Douglas production function in excel
Cobb Douglas production function in excel
2. Apply Logarithmic Transformation to the Data
Provide new columns with names as Ln(variable)
Give function to calculate logarithmic transformation of data
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Go to Data menu check Data analysis tool is
present or not
If your Excel does not have pre-
installed Data analysis package in Data
menu then do the following steps
Go to File Menu Options Add-ins Manage select
Excel add-ins click go select Analysis tool pack ok
FILE
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Now go to the data menu to check data analysis icon
3. Go to Data analysis
Go to Data  Data analysis 
Regression  give input Y range and X
range  Click OK
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Select numerical part
Cobb Douglas production function in excel
Cobb Douglas production function in excel
Cobb Douglas production function in excel
est(ln(yield))=lna+ b1ln(ferti) +b2ln(seed rate)
+b3ln(pesticides)
ln a=1.6061 a=4.9833
b1=.3939 b2=.2505 b3=.1165
estimated[ln(yield)]=1.6061+ .3939ln(ferti) +.2505ln(seed
rate) +.1165ln(pesticides)
estYi =4.9833 X1i.3939 X2i.2505 X3i.1165
Thank you

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Cobb Douglas production function in excel