Define best linear unbiased predictor (BLUP). Obtain the
expression for BLUP
in case of a simple linear regression model satisfying all the
basic assumptions. Show that BLUP can be written in terms of BLUE
of the regression coefficients
Declare and define a class for a fraction number. A fraction in
mathematics is defined as a/b, where
a and b are integers and called
numerator and denominator.
Requirements
Task1
Define a fraction class that has the following member
functions:
constructor that initializes the fraction by default
arguments.
set function that sets the numerator of the fraction.
set function that sets the denominator of the fraction.
get function that returns the numerator of the fraction.
get function that returns...
Calculating the packing fraction (The percent space occupied by
atom) for a hexagonal unit cell requires a bit more trigonometry
than the same calculation for a cubic cell. However, based on your
observations, which of the cubic cells would you expect to have the
same packing fraction as the hexagonal cell? Explain your
reasoning?
1-What is the expression for the thin lens equation? Define all
the terms in the expression.
2-Describe the three properties that determine the focal length
of a lens.
3-Define the following:
i. Converging lens______
ii. Diverging lens_______
iii. Focal length___________
iv. Focalpoint____________
v. Object distance_______
vi. Imagedistance___
vii. Real image___
viii. Virtual image
Let X have a uniform distribution on the interval
[A, B].
(a)
Obtain an expression for the (100p)th percentile,
x.
x =
(b)
Compute
E(X), V(X), and σX.
E(X)
=
V(X)
=
σX
=
(c)
For n, a positive integer, compute
E(Xn).
E(Xn)
=