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nirvana33 [79]
3 years ago
14

The following is the list of MAD statistics for each of the models you have estimated from time-series data:

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
4 0

Answer:

b) quadratic trend.

Step-by-step explanation:

The Mean Absolute Deviation MAD is the value which is calculated by taking sum of deviation of the observations from the mean and divides it by the total number of observations. The quadratic trend is analysis of values over time series, the values will not be constant and will either fall or rise. The quadratic trend gives the lowest value for MAD. The low value for MAD is preferable so the best model which should be used for MAD is quadratic trend.

den301095 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Mean Absolute Deviation is calculated or gotten by firstly by finding the mean of the data set, by finding the addition of the data values, and then by dividing the sum by the number of data values to get the absolute value of the difference between each data value and the mean that is data value – mean. To get the sum of the absolute values of the differences, start by dividing the sum of the absolute values of the differences by the number of data values

In a quadratic trend, the values of a time series sometimes willt rise or it will fall at a rate that is not stable it normally change with time. Thereby , making the line on the trend not to be straight.

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The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the
navik [9.2K]

Answer:

a) 0.019

b) 0.563

c) x = 1.966 hours

Step-by-step explanation:

E(X) = 1

Exponential random variable's probability function is given as

P(X=x) = λ e^(-λ.x)

The cumulative distribution function is given as

P(X ≤ x) = 1 - e^(-λ.x)

a) The time between the arrivals of small aircraft at a county airport that is exponentially distributed.

But the number of planes that land every hour will be obtained using the Poisson distribution formula.

It is the best for discrete systems.

Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

λ = 1 aircraft per hour.

The probability that more than three aircraft arrive within an hour = P(X > 3)

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

P(X > 3) = 1 - 0.98101 = 0.01899 = 0.019 to 3 d.p

b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals

Probability of one 1-hour interval not containing more than 3 arrivals = 1 - P(X > 3)

= 1 - 0.01899 = 0.98101

Probability that thirty 1-hour intervals will not contain more than 3 arrivals = (0.98101)³⁰ = 0.5626 = 0.563 to 3 d.p

c) Determine the length of an interval of time (In hours) such that the probability that no arrivals occur during the interval is 0.14

We can now use the cumulative distribution function for exponential random variable for this

P(X ≤ x) = 1 - e^(-λ.x)

P(X > x) = 1 - P(X ≤ x)

P(X > x) = e^(-λ.x)

λ = 1, x = ?,

0.14 = e⁻ˣ

e⁻ˣ = 0.14

In e⁻ˣ = In 0.14 = -1.966

-x = -1.966

x = 1.966 hours

Hope this Helps!!!

4 0
3 years ago
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6 0
3 years ago
Do u simplify 7 wholes and 8/10
SSSSS [86.1K]

Answer: Simplify 8/10 which is 4/5.

Step-by-step explanation:

7 0
3 years ago
2 miles away one block takes 50 seconds each block is 300 ft what is the rate in ft per second
Korolek [52]

You would have to Multiply 50 by 2 and then Multiply the answer to 300.

8 0
2 years ago
For some integer n, the first, the third and the fifth terms of an arithmetic sequence are respectively 3n, 5n – 6, and 11n + 8.
Mazyrski [523]

Answer:

a₄=8n+1= -39.

Step-by-step explanation:

1) if a₁=3n; a₃=5n-6 and a₅=11n+8, then it is possible to calculate the difference according to 0.5(a₅-a₃)=0.5(a₃-a₁). Then

2) 0.5(11n+8-5n+6)=0.5(5n-6-3n); ⇔ 6n+14=2n-6; ⇔ n= -5.

3) if n=-5, then the 4th term is:

a_4=\frac{a_5+a_3}{2}; \ = > \ a_4=\frac{11n+8+5n-6}{2}=8n+1;

or a₄=-39.

8 0
2 years ago
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