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Question Assignment 2 The dataset below contains informatio

Question Assignment 2 The dataset below contains informatio

Question
Assignment 2
The dataset below contains information on the input of production data and on the output (in natural
logarithms) for 30 hypothetical companies. Your textbook uses logarithm of base 10 which is
different from natural logarithm which has base e. With the data, the parameters of a Cobb-Douglas
Production Function can be estimated. I converted the data into natural logs trying to make your life
easier and also prevent you from following your textbooks use of log of base 10, that takes more
steps to find the answers for the questions below. Make sure you read my special lecture note and
watch the Panopto lecture.

lnK
lnL lnQ
3.6889 3.6889 3.4675
3.6889
3.6889
3.6889
4.382
4.382
4.382
4.382
4.7875
4.7875
4.7875
5.0752
5.0752
5.0752
5.0752
5.2983
5.2983
5.2983
5.4806
5.4806
5.4806
5.4806
5.6348
5.6348
5.6348
5.6348
5.7683
5.7683
5.7683
5.7683

4.7875
5.2983
5.7683
3.6889
4.382
5.0752
5.6348
4.7875
5.2983
5.7683
3.6889
4.382
5.0752
5.4806
4.7875
5.2983
5.7683
3.6889
5.0752
5.4806
5.6348
4.382
4.7875
5.4806
5.7683
3.6889
4.7875
5.2983
5.7683

3.8069
3.7564
4.0918
3.5946
3.5149
4.1281
4.4534
4.0031
4.1896
4.5463
3.643
4.1242
4.4723
4.3563
4.3965
4.3934
4.7487
3.6726
4.4991
4.5027
4.6062
4.219
4.0904
4.7451
4.7228
3.9925
4.7719
4.9012
4.8305

A multiplicative CobbDouglas Production Function is written as Q = AKαLβ. We cannot use the
Ordinary Least Squares method (OLS) in Excel to estimate the above multiplicative CobbDouglas
Production Function since the independent variables are not linear. Hence, by transforming the
above CobbDouglas production function into natural logs, we make the independent variables
into linear. Then we can use the OLS technique.

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