Solved on Jan 18, 2024

Calculate the 7-point moving average (MA) value for $T$ on the Saturday of week 2.

STEP 1

Assumptions
1. The 7-point moving average (MA) is calculated by taking the average of 7 consecutive data points.
2. The value for $T$ on a given day is the average of the number of calls for the 3 days before, the day itself, and the 3 days after.
3. The value for $T$ that we need to calculate corresponds to the Saturday of week 2.

STEP 2

Identify the days that will be used to calculate the 7-point MA for the Saturday of week 2.
The days are: Sunday of week 1, Monday of week 1, Tuesday of week 1, Wednesday of week 1, Thursday of week 1, Friday of week 1, and Saturday of week 1.

STEP 3

Extract the number of calls to the IT Department for each of the identified days.
Sunday of week 1: 50 calls Monday of week 1: 1000 calls Tuesday of week 1: 700 calls Wednesday of week 1: 400 calls Thursday of week 1: 400 calls Friday of week 1: 300 calls Saturday of week 1: 100 calls

STEP 4

Calculate the sum of the number of calls for the 7 days identified.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100$

STEP 5

Compute the sum of the calls.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100 = 2950$

STEP 6

Divide the sum of calls by 7 to find the 7-point MA for the Saturday of week 2.
$T = \frac{Sum\, of\, calls}{7}$

STEP 7

Plug in the sum of calls into the formula to calculate $T$ .
$T = \frac{2950}{7}$

STEP 8

Calculate the value of $T$ .
$T = \frac{2950}{7} = 421.43$
The value for $T$ that corresponds to the Saturday of week 2 is 421.43.

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Calculate the 7-point moving average (MA) value for $T$ on the Saturday of week 2.

STEP 1

STEP 2

Identify the days that will be used to calculate the 7-point MA for the Saturday of week 2.
The days are: Sunday of week 1, Monday of week 1, Tuesday of week 1, Wednesday of week 1, Thursday of week 1, Friday of week 1, and Saturday of week 1.

STEP 3

Extract the number of calls to the IT Department for each of the identified days.
Sunday of week 1: 50 calls Monday of week 1: 1000 calls Tuesday of week 1: 700 calls Wednesday of week 1: 400 calls Thursday of week 1: 400 calls Friday of week 1: 300 calls Saturday of week 1: 100 calls

STEP 4

Calculate the sum of the number of calls for the 7 days identified.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100$

STEP 5

Compute the sum of the calls.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100 = 2950$

STEP 6

Divide the sum of calls by 7 to find the 7-point MA for the Saturday of week 2.
$T = \frac{Sum\, of\, calls}{7}$

STEP 7

Plug in the sum of calls into the formula to calculate $T$ .
$T = \frac{2950}{7}$

STEP 8

Calculate the value of $T$ .
$T = \frac{2950}{7} = 421.43$
The value for $T$ that corresponds to the Saturday of week 2 is 421.43.

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Calculate the 7-point moving average (MA) value for TTT on the Saturday of week 2.

STEP 1

STEP 2

Identify the days that will be used to calculate the 7-point MA for the Saturday of week 2.The days are: Sunday of week 1, Monday of week 1, Tuesday of week 1, Wednesday of week 1, Thursday of week 1, Friday of week 1, and Saturday of week 1.

STEP 3

Extract the number of calls to the IT Department for each of the identified days.Sunday of week 1: 50 calls Monday of week 1: 1000 calls Tuesday of week 1: 700 calls Wednesday of week 1: 400 calls Thursday of week 1: 400 calls Friday of week 1: 300 calls Saturday of week 1: 100 calls

STEP 4

Calculate the sum of the number of calls for the 7 days identified.Sum of calls=50+1000+700+400+400+300+100Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100Sumofcalls=50+1000+700+400+400+300+100

STEP 5

Compute the sum of the calls.Sum of calls=50+1000+700+400+400+300+100=2950Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100 = 2950Sumofcalls=50+1000+700+400+400+300+100=2950

STEP 6

Divide the sum of calls by 7 to find the 7-point MA for the Saturday of week 2.T=Sum of calls7T = \frac{Sum\, of\, calls}{7}T=7Sumofcalls​

STEP 7

Plug in the sum of calls into the formula to calculate TTT.T=29507T = \frac{2950}{7}T=72950​

STEP 8

Calculate the value of TTT.T=29507=421.43T = \frac{2950}{7} = 421.43T=72950​=421.43The value for TTT that corresponds to the Saturday of week 2 is 421.43.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Calculate the 7-point moving average (MA) value for $T$ on the Saturday of week 2.

Identify the days that will be used to calculate the 7-point MA for the Saturday of week 2.
The days are: Sunday of week 1, Monday of week 1, Tuesday of week 1, Wednesday of week 1, Thursday of week 1, Friday of week 1, and Saturday of week 1.

Extract the number of calls to the IT Department for each of the identified days.
Sunday of week 1: 50 calls Monday of week 1: 1000 calls Tuesday of week 1: 700 calls Wednesday of week 1: 400 calls Thursday of week 1: 400 calls Friday of week 1: 300 calls Saturday of week 1: 100 calls

Calculate the sum of the number of calls for the 7 days identified.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100$

Compute the sum of the calls.
$Sum\, of\, calls = 50 + 1000 + 700 + 400 + 400 + 300 + 100 = 2950$

Divide the sum of calls by 7 to find the 7-point MA for the Saturday of week 2.
$T = \frac{Sum\, of\, calls}{7}$

Plug in the sum of calls into the formula to calculate $T$ .
$T = \frac{2950}{7}$

Calculate the value of $T$ .
$T = \frac{2950}{7} = 421.43$
The value for $T$ that corresponds to the Saturday of week 2 is 421.43.