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solmaris [256]
3 years ago
11

Consider the time series:xₜ= β₁+ β₂t + wₜwhere β1 and β2 are known constants and wₜ is a white noise process with variance σ ²_w

.(a) Determine whether xₜ is stationary.(b) Show that the process yₜ= xₜ − xₜ₋₁ is stationary.(c) Show that the mean of the moving averagevt = [1 /2q + 1] (j=-q→q) Σ xₜ₋ⱼis β₁ + β₂t, and give a simplified expression for the autocovariance function.

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

Answer:

Please refer to the attachment below.

Step-by-step explanation:

Please refer to the attachment below for explanation.

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Solve this problem on paper using all four steps. Find four consecutive integers whose sum is 114.
ANEK [815]

Answer:

Four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .

Step-by-step explanation:

Consecutive numbers are numbers having each number is one more than the previous number. like consecutive number of 2 is 3 .

We have to four consecutive integers whose sum is 114.

Let integers be in the form x , (x+1) , (x+2) , (x+3)

Given : Sum of integers be 114.

thus,  x + (x+1) + (x+2) + (x+3) = 114

⇒ 4x +6 = 114

⇒ 4x  = 114 -6

⇒ 4x  = 108

⇒x= \frac{108}{4}

⇒ x = 27

Thus, integers are,

x = 27

(x+1) = 27 + 1 = 28

(x+2) = 27 +2 = 29

(x+3) = 27 +3 = 30

Thus, four consecutive integers whose sum is 114 are 27 , 28 , 29 , 30 .

4 0
3 years ago
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What is the slope of the line​
lidiya [134]

Answer:

c is the correct answer

Step-by-step explanation:

because i worked it out

8 0
3 years ago
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How to find the vertex, Axis of symmetry, Amount of x intercepts, amount of y intercepts, Domain, and Range of this Graph?​
Andrews [41]

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8 0
3 years ago
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.
ziro4ka [17]

Answer:

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

Step-by-step explanation:

x          P(x) x \times P(x)       x^2 \times  P(x)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

7 0
3 years ago
999x645 using distributive property
kaheart [24]

Answer:1. distributive property

2. commutative property (the order of 8x and -24 is swapped)

3. reflexive property ((8-24) = -16; -16 is substituted for 8-24. I prefer "substitution property".)

4. commutative property (the order of 8x and -16 is swapped)

5. distributive property

Step-by-step explanation:

5 0
3 years ago
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