Question

he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)

likes

300 views

Answer to a math question he figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a ten-week period : Week no. 1 2 3 4 5 6 10 7 8 9 26 21 21 26 No. demanded 26 23 24 24 26 26 Use exponential smoothing with a-value of 0.2 to smooth the data and obtain a forecast for week 11. The forecast for the 11th week is?. (Round your intermediate and final answers to two decimal places.)

$Expert avatar$

Hank

4.8

105 Answers

### Solution:

Given:
-

\alpha = 0.2

S_1 = 26

### Calculations for Weeks 2 to 10:

#### Week 2:

S_2 = 0.2 \cdot 23 + 0.8 \cdot 26 = 25.4

#### Week 3:

S_3 = 0.2 \cdot 24 + 0.8 \cdot 25.4 = 25.12

#### Week 4:

S_4 = 0.2 \cdot 24 + 0.8 \cdot 25.12 = 24.90

#### Week 5:

S_5 = 0.2 \cdot 23 + 0.8 \cdot 24.90 = 25.12

#### Week 6:

S_6 = 0.2 \cdot 22 + 0.8 \cdot 25.12 = 25.30

#### Week 7:

S_7 = 0.2 \cdot 23 + 0.8 \cdot 25.30 = 25.44

#### Week 8:

S_8 = 0.2 \cdot 22 + 0.8 \cdot 25.44 = 24.55

#### Week 9:

S_9 = 0.2 \cdot 20 + 0.8 \cdot 24.55 = 23.84

#### Week 10:

S_{10} = 0.2 \cdot 20 + 0.8 \cdot 23.84 = 24.27

### Answer:
The forecasted demand for Week 11 using exponential smoothing with alpha = 0.2 is approximately

\boxed{24.27}

Frequently asked questions (FAQs)

What is the median of the following data set: 7, 3, 9, 5, 2, 6, 4, 1?

Find the missing angle measure: ∠A = 58°, ∠C = 72°. What is the value of ∠B?

Math question: Convert 5.6 x 10^4 into standard decimal notation.

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?

A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?

(x^2+3x)/(x^2-9)=

Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)

A consulting company charges a fee of $50 per hour for consulting. If their monthly fixed costs are $1,000 and they want to make a monthly profit of $2,500, how many consulting hours should they bill per month?

Derivative of x squared

Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?

If f(x,y)=6xy^2+3y^3 find (∫3,-2) f(x,y)dx.

(24, -7) is on the terminal arm of an angle in standard position. Determine the exact values of the primary trigonometric functions.

suppose random variable x follows poisson distribution with expected value 3. what is variance of x?

-1%2F2x-4%3D18

Determine a general formula (or formulas) for the solution to the following equation. Then, determine the specific solutions (if any) on the interval [0,2π). cos30=0

16.What payment (deposit) made at the end of each month will accumulate to $10473 in 13 years at 7.9% compounded monthly? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.

A person runs 175 yards per minute write a variable that represents the relationship between time and distance

A block slides across the floor with a force of 20N, which has an angle of 30°. The mass of the block is 2kg and the coefficient of friction is 0.1. Calculate the value of all the forces involved in this system and finally the value of the acceleration.

An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?

56 × 12 = 672. How should you adjust this answer 672 to determine 57 × 12? a) The answer increases by 1 b) The answer increases by 57 c) The answer increases by 56 d) The answer increases by 12

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?

An export company grants a bonus of $100,000 pesos to distribute among three of its best employees, so that the first receives double the second and the latter receives triple the third. How much did each person receive?

You might be interested in