Economics 513, Test Midterm
Problem 1
To study the relation between a dependent variable
y
and
K

1 independent variables
x
2
, . . . , x
K

1
we specify a multiple linear regression
model.
(i) Give the equation for the inexact linear relation between
y
and
x
2
, . . . , x
K

1
.
The relation has an intercept.
The data,
y
i
, x
i
2
, . . . , x
iK
, i
= 1
, . . . , n
are a random sample from the population
of US households.
(ii) Represent the observations in matrix notation, and give the multiple linear
regression model in matrix notation.
(iii) Give the assumptions for the Classical Linear Regression (CLR) model.
(iv) For one of the assumptions in the case considered in this problem is it
suﬃcient to assume that the random error for an observation is mean
independent of the vector of independent variables for that observation?
Why (not)?
(v) Is the assumption of no serial correlation satisﬁed in this case? Why (not)?
Problem 2
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 Fall '07
 Rashidian
 Economics, Econometrics, Regression Analysis, multiple linear regression, linear regression model

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