Question

True or False: Solving normal equations by LU factorization solves a least squares problem in floating-point arithmetic as accurately as possible.

Answer #1

It is **true** that solving normal equations by LU
Factorization solves a least squares problem in floating point
arithmetic as acurately as possible.

In numerical analysis and linear algebra,
**lower–upper** (**LU**)
**decomposition** or **factorization**
factors a matrix as the product of a lower triangular matrix and an
upper triangular matrix. The product sometimes includes a
permutation matrix as well. LU decomposition can be viewed as the
matrix form of Gaussian elimination. Computers usually solve square
systems of linear equations using LU decomposition, and it is also
a key step when inverting a matrix or computing the determinant of
a matrix. LU decomposition was introduced by Polish mathematician
Tadeusz Banachiewicz in 1938.

true or false ?/ The Least Squares regression line always passes
through the point (, ).

True or False: In the simple regression model, both ordinary
least squares (OLS) and Method of Moments estimators produce
identical estimates. Explain.

1. Pep/9 has one index register (True / False)
2. The hidden bit in floating point is not stored but is always
there. (True / False)
3. A machine language program can change itself. (True /
False)

True or False. Explain your answer:
d) Least squares estimates of the regression coefficients b0,
b1, . . . bn are chosen to maximize R2 .
e) If all the explanatory variables are uncorrelated, the
variance inflation factor (VIF) for each explanatory variable will
be 1.
) b0 and b1 from a simple linear regression model are
independent.

Answer true or false and state why.
1. The least-squares estimators are always BLUE and BUE.
2, In large samples the usually standardized ratios follow the
t-distribution.
3. If we rescale the dependent variable in regression by dividing
by 100, the new coefficient and their estimates will be multiplied
by 100.
4. In choosing between models we always seek to maximize
R^2.
(h) In choosing between models we always seek to maximize R2.
3

True, false or uncertain:
(a) In a two-good world, at least one good must be a normal
good
(b) Simultaneous increases in the first-class postage rate from
20 to 30 cents and the overnight delivery rate from $1.00 to $1.10
will leave unaltered the proportion in which the two types of mail
are consumed.
Feel free to include graphs or equations in the answer

True false:
1) When subjected to bending, a beam only develops normal stress
in tension and compression
2)the shear flow is defined as an average force per unit length
for each cross-section.
3)due to bending shear flow develops only along the beam
length.
4)) shear center is defined as the point through which force can
be applied without causing torsion
Fill in the blank:
the shear stress induced by bending in a beam is
............
Solve the question problem:
A...

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