Linear regression - extracting info using matrix algebra

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Daniel Miller
Daniel Miller 2019-10-12
评论： Daniel Miller 2019-10-12
Hello!
I have a preloaded data which contains four columns and each column contains the following data in the following order:
  1. Income (dollars)
  2. Education
  3. A dummy variable, 1 for male and 0 for female
  4. Another dummy variable, 1 for STEM and 0 for not STEM
I've been given the linear model:
INCOME = α + β1EDUCATION + β2MALE + β3STEM
I should answer the following questions:
a) How large is α in the above equation
b) How many dollars greater is the salary of a male than the salary of a female
From what I understand, I should start with storing each column in the data in separate variables. How would I do this?
Any hints to get me started with this task are appreciated!

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Stephan
Stephan 2019-10-12
编辑：Stephan 2019-10-12
add a column of ones to your matrix DATA in pos. 4. isolate income as a column vector and remove this column from DATA then use:
X = DATA\INCOME
you get the beta values (1-3) and the last one is alpha.
Also possible:
DATA = [DATA ones(size(DATA,1),1]
vals = DATA(:,2:end)\DATA(:,1)
The other stuff should be not a problem by using logical indexing.
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Stephan
Stephan 2019-10-12
Did you notice that you can accept and or vote for useful answers? If you have more problems come back with a new question.

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