Part B Time-series analysis and forecasting [4+8+6+6+22+9= 55
Marks]
This part you will be doing time-series analysis and forecast a
time-series variable. Gather data for any country for any ONE
variable with at least 20 periods, the data to be quarterly. This
part to be done in Excel file only. Provide below information:
Country
Variable Variables
measurement units
Variable simplified measurement units
# of periods ( n ? 20)
Note: Variable (simplified measurement units) will be used in
the analysis....
Using the same data… 2 3 4 4 4 6 6 6 7 8 8 9 10 10 11 12 16 16
28 46 (d) [5 pts] Determine the 5# summary. (e) Determine the lower
and upper fence to determine if there are any outliers. (f) Draw
and carefully label a modified boxplot for this data. (g) What is
the shape of the distribution (symmetric, skewed left, or skewed
right). Explain.
1. compute the least non-negative residue of 4^n (mod 9) for
n=1,2,3,4,5.... prove that 6*(4^n)=6 (mod 9) for every n>0.
2. find nice tests for divisibility of numbers in base 34 by
each of 2,3,5,7,11,and 17.
3. in Z/15Z, find all solutions of : (i) [36]X=[78]. (ii)
[42]X=[57] (iii) [25]X=[36]
4. in Z/26Z, find the inverse of [9], [11], [17], and [22]
4. write the set of solutions of x=5 mod24. x=17 (mod 18)
for all equation line, there are...
Table:
x: 6, 2, 15, 9, 12, 5, 8
y: 8, 9, 4, 7, 6, 9, 8
1) Make the scatter diagram.
2) Find the equation of the regression line using the formulas
given in class. They must appear the intermediate steps of
substitutions. Round the answers to three decimal places.
3) Find the correlation coefficient using the formulas given in
class. Steps should appear intermediates of substitutions. Round
the answer to three decimal places.
4) Find the value predicted...
Hexadecimal digits are 0, 1, 2, 3, 4,
5, 6, 7, 8, 9, A, B, C, D, E, and F.
How many hexadecimal strings of length twelve have five A’s and
five B’s?
How many hexadecimal strings of length twelve have at most
three E’s?
How many hexadecimal strings of length twelve have exactly
three A’s and at least two B’s?
How many hexadecimal strings of length twelve have exactly two
A’s and exactly two B’s, so that the two...
a = [3, -4, 7] b = [-6, 9, 8] c = [4, 0, 8] d =[7, 1, 7] e = [3,
-5, 2, 1] f =[5, -7, -3, 6] g = [3, -4, 4, 3]
P = Projection of
ex. C = |g|(gf/gf) C = gf/|f|
ex. P g --> f = Cgf = C(gf/f) (1/|f|) (f) =( gf/ff)(f)
Find
a. Pg --> f
b. Pa --> 3b + e
Find (cross multiply)
a. ||a X b||
b. ||g...
part a
. Let A = {1,2,3,4,5},B ={0,3,6} find
1. A∪B
2. A∩B
3. A\B
4. B \ A
Part b
. Show that if A andB are sets,
(A\B)⊆A
2. A∪(A∩B)=A
Part c. Determine whether each of these
functions from Z to Z is one-to one
1. f(x)=x−1
2. f(x)=x2 +1
3. f(x) = ⌈x/2⌉
Part c. Let S = {−1,0,2,4,7}, find f(S) if
1. f(x)=1
2. f(x)=2x+1
3. f(x) = ⌊x/5⌋
4. f(x)=⌈(x2 +1)/3⌉
Part D. Determine whether...