1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ganezh [65]
2 years ago
15

Daily high temperatures in the city of Houston for the last week have been: 90, 93, 90 92, 90, 88, 98 (yesterday).

Mathematics
2 answers:
Verdich [7]2 years ago
5 0

Answer:

a) The 3-day moving average forecast for today = 92

b) The 2-day moving average forecast for today = 93

c) mean absolute deviation based on a two-day moving average, covering all days in which you can have a forecast and an actual temperature = 1.713

Step-by-step explanation:

Daily high temperatures in the city of Houston for the last week have been

90, 93, 90 92, 90, 88, 98

a) To forecast the high temperature today using the three-day moving average.

The 3-day moving average involves generating a new set of data by combining the daily high temperature in threes, and then taking the average.

The required forecast is the data generated by combining and taking the average of the last 3 days.

N | T | 3-day moving average

1 | 90 |

2 | 93 |

3 | 90 |

4 | 92 | 91

5 | 90 | 91.6666667

6 | 88 | 90.666667

7 | 98 | 90

The 3-day moving average forecast for today is then given as (90+88+98)/3 = 92

Note that

91 = (90+93+90)/3

91.666667 = (93+90+92)/3

90.666667 = (90+92+90)/3

90 = (92+90+88)/3

92 = (90+88+98)/3

The 3-day moving average forecast for today = 92

b) To forecast the high temperature today using the two-day moving average.

The 2-day moving average involves generating a new set of data by combining the daily high temperature in twos, and then taking the average.

The required forecast is the data generated by combining and taking the average of the last 2 days.

N | T | 2-day moving average

1 | 90 |

2 | 93 |

3 | 90 | 91.5

4 | 92 | 91.5

5 | 90 | 91

6 | 88 | 91

7 | 98 | 89

The 2-day moving average forecastfor today = (88+98)/2 = 93

Just like the calculation in (a),

91.5 = (90+93)/2

91.5 = (93+90)/2

91 = (90+92)/2

And so on....

The 2-day moving average forecast for today is 93.

c) mean absolute deviation based on a two-day moving average, covering all days in which you can have a forecast and an actual temperature.

MAD = {Σ|x - μ|}/N

μ = mean = (90+93+90+92+90+88+98)/7

μ = 91.57

MAD using the 2-day moving average data will use, 91.5, 91.5, 91, 91, 89 and 93

MAD = [|91.5-91.57| + |91.5-91.57| + |91-91.57| + |91-91.57| + |89-91.57| + |93-91.57|] ÷ 6

MAD = 10.28/6 = 1.713

Hope this Helps!!!

vesna_86 [32]2 years ago
3 0

Answer:

  1. The answer or forecast for temperature using a three-day moving average =
  2. The answer or forecast for temperature using a three-day moving average =
  3. The mean absolute deviation based on a two-day moving average, covering all days =  

Step-by-step explanation:

1. Three-point averages are calculated by taking a number in the series with the previous and next numbers and averaging the three of them.

Step I - Calculate the three series of succession of numbers form the data and find the average of each of them:

A) (90 + 93 +90)/3 = 91.00

B) (93 + 92 + 90)/3 = 91.67

C) (90 + 92 +90)/3 = 90.67

D) (92 + 90 + 88)/3 = 90.00

E) (90 + 88 + 98)/3 = 92.00

So our series approximated to the nearest whole number is:

91, 92, 91, 90, 92

STEP II

 

From the series above the highest temperature today is unpredictable because the series is irregular. It went from 91 to 92, then it dropped to 90 and came back to 92.

             

2. Using a two day moving average we have

STEP I .  

Calculate the moving averages

           

A) (90+93)/2 = 91.50

B) (93 + 90)/2 = 91.50

C) (90 + 92)/2 = 91.00

D) (92 +90)/2 = 91.00

E) (90 + 88)/2 = 89.00

F) (88 + 98)/2 = 93.00

STEP II

The temperature also cannot be predicted because of the irregular series.

3. Calculating the Mean Absolute Deviation based on a two-day moving average

The formula for MAD = (∑|x_{i} - \frac{}{x}|)/n

STEP I

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Mean of the data set =

(91.50 + 91.50 + 91.00 +  91.00 + 89.00 +93.00)/6

Mean = 91.17

STEP II

Get the distance between the data point and the mean:

  1. 91.50-91.17=0.33
  2. 91.50-91.17= 0.33
  3. 91.00-91.17= -0.17
  4. 91.00-91.17= -0.17
  5. 89.00-91.17= -2.17
  6. 90.00-91.17= -1.17

STEP II

Add all the distances together

0.33 + 0.33 - 0.17 - 0.17 - 2.17 - 1.17 = -3.02

STEP III

Divide the the sum by data points

-3.02/6

= -0.50

So on average the temperatures were <em>-0.50</em> from the mean.

Cheers!

You might be interested in
g During winter, red foxes hunt small rodents by jumping into thick snow cover, without any visual clue. Researchers examined th
Setler79 [48]

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

6 0
3 years ago
When converting between two measurement units, how can you tell which operation to use
Nadya [2.5K]
You need to see what you need to convert and how you need to convert it, do you need to divide to find out how many it goes in? Questions like that.
7 0
3 years ago
What's 2/3 times 3/11 in simplest form
myrzilka [38]
The answer is 2/11 in simplest form
3 0
2 years ago
Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The
MaRussiya [10]
The speed of one car is 'S'.  The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels  5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S  +  5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>
5 0
3 years ago
Help asap plsss ..lol
coldgirl [10]

Answer:

n = 3/7

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Mark has to pay a state tax of 10% and a federal tax of 25% on the amount he receives from selling his house. What steps would h
    8·2 answers
  • What is 275,608 rounded to the nearest thousand
    13·1 answer
  • (6y^2-9y+4)-(-7y^2+5y+1)
    7·1 answer
  • Heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
    6·2 answers
  • ASAP If you chose Equilateral Equiangular Triangle Rotation to prove SAS Congruence, use the coordinates of your rotation to sho
    11·1 answer
  • What is the interquartile range of this data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
    6·1 answer
  • Geometry help please
    9·2 answers
  • Order the numbers from least (top) to greatest (bottom).<br><br> -9 -4 |-2| |-3| |-6| |1|
    14·1 answer
  • Simplyfy ( 7x-6)²+(7x+3)²​
    14·1 answer
  • Someone please help me with this
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!