1.-The following data were used in a regression study.
Observation
1
2
3
4
5
6
7
8
9
xi
2
3
4
5
7
7
7
8
9
yi
4
5
4
7
4
6
9
6
11
(a)Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =______
2.-The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine....
The following data were used in a regression study.
Observation
1
2
3
4
5
6
7
8
9
xi
2
3
4
5
7
7
7
8
9
yi
5
5
4
7
4
6
9
5
11
(a) Develop an estimated regression equation for these data.
(Round your numerical values to two decimal places.)
ŷ =
xi
1
2
3
4
5
yi
3
8
5
11
12
The estimated regression equation for these data
is ŷ = 1.50...
1. For the following two matrices
A = 1 2
3 4
B = 1 3 5
2 4 6
Find:
a). AB, is AB = BA ?
b). All row and column vectors of A and B
2. Let X1=[1, 0, 0], X2=[0, 3, 0], and X3=[0, 0, 2], use
definition of linear dependency to
show that the above three vectors are dependent or not.
3. Show that the following matrix is singular or nonsingular,
and find A-1 if...
SE-FamilySize
1
1
4
3
2
4
2
3
4
2
4
1
4
2
2
4
5
4
5
4
4
2
4
3
1
2
3
5
5
5
Make a confidence interval. Be sure you show all the steps you
took. Include a screen shot of any applet you used in your
calculations.
2. Choose a confidence level (1 – α).
3. What is xbar?
4. What is s?
5. What is t? (Show a screen shot...
Apply ?̂2 and ?̂?operator on the following wavefunctions,
a. ( 3 4? ) 1/2 ????
b. ( 3 8? ) 1/2 ???? ? ??
c. ( 3 8? ) 1/2 ???? ? −??
What is the result? Which is these functions are eigen functions
of both operators? Is there anything else you like to conclude?
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...
Find the distances:
A) Between ?1=〈2+2?,−1+?,−3?〉and ?2=〈4,−5−3?,1+4?〉 .
B) Between the planes 2?−?+5?=0 and 2?−?+5?=5 .
C) From the point (1,2,3) to the line ?=〈−?,4−?,1+4?〉 .
4. Devos inc has 4 teams (A, B, C, D) and 4 (1, 2, 3, 4)
potential tasks. The total amount of days each employee would need
to allocate to each job is as follows:
Potential Tasks
Team
1
2
3
4
A
28
33
21
35
B
41
43
23
37
C
48
28
33
42
D
49
27
43
46
Use Excel solver
Match the team the most efficient task. What is the total number
of days...