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Consider the set of hypothetical data in Table 10.10. Suppose you want to ?t the model to the data.

Yi = β1 + β2 X2i + β3 X3i + ui

a. Can you estimate the three unknowns? Why or why not?

b. If not, what linear functions of these parameters, the estimable func- tions, can you estimate? Show the necessary calculations.

table 10.10

Y X2  X3
-10 1 1
-8 2 3
-6 3 5
-4 4 7
-2 5 9
0 6 11
2 7 13
4 8 15
6 9 17
8 10 19
10 11 21

Microeconomics, Economics

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