MATHEMATICS COLLEGE

Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years. The sales manager has predicted in 2004 and 2005 sales would be 410 VW's. Using exponential smoothing with a alpha = 0.30 develop a forecast for 2006 through 2010. What is the forecast value for 2010?Please answer to one decimal place. (Example: 466.1)Formula: Ft = Ft-1 + alpha(At-1 - Ft-1)Actual sales data:2005 = 4502006 = 4952007 = 5182008 = 5632009 = 584

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the data:

Year___Actual sale (At) ___forecast(Ft)

2005__450_____________410

2006__495____________ 422

2007__518____________ 443.9

2008_ 563____________ 466.1

2009_584____________ 495.2

2010__

Using the formula :

Ft = Ft-1 + alpha(At-1 - Ft-1)

Ft-1 = previous year forecast

At-1 = previous year actual

Alpha = 0.3

Forecast:

2006:

410 + 0.3(450 - 410) = 422.0

2007:

422 + 0.3(495 - 422) = 443.9

2008:

443.9 + 0.3(518 - 443.9) = 466.1

2009:

466.1 + 0.3(563 - 466.1) = 495.2

2010:

495.2 + 0.3(584 - 495.2) = 521.8

Forecasted value for 2010 = 521.8

Answer 2

Answer:

Final answer:

By utilizing the method of exponential smoothing with alpha=0.3 and applying the forecasting formula iteratively, the forecasted sales of Volkswagen Beetles for 2010 in Nevada is 525.7 units.

Explanation:

The exponential smoothing method is commonly used in business and economics for forecasting future data in situations where historical data is available. The forecast value for 2010 using exponential smoothing with alpha = 0.30 can be obtained by implementing the provided formula in an iterative manner. This formula takes into account the actual data point from the previous year (At-1) and the forecasted data point for that year (Ft-1).

Let us use the forecast value for 2004 and 2005, which was predicted as 410 for each year, as our initial forecast value (F1).

By applying the formula Ft = Ft-1 + alpha * (At-1 - Ft-1) iteratively for each year from 2006 to 2009, we get:

Forecast for 2006 (F_2006) would be 410 + 0.30*(450-410) = 422.
Then, the forecast for 2007 (F_2007) is 422 + 0.30*(495-422) = 443.9.
The forecast for 2008 (F_2008) is 443.9 + 0.30*(518-443.9) = 466.1.
For 2009 (F_2009), the forecast is 466.1 + 0.30*(563-466.1) = 496.37.

Using these forecasted rates, we then forecast for the year 2010. The forecast for 2010 (F_2010) is calculated by 496.37 + 0.30*(584-496.37) giving 525.67 (rounded to one decimal place). Hence the forecast for the year 2010 using exponential smoothing with the alpha as 0.30 is estimated to be 525.7 VolksWagen Beetles.

Learn more about Exponential Smoothing here:

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Answers

Answer:

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Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

Answers

Answer:

A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

Step-by-step explanation:

---Researchers are investigating the effect of pH level in water on the breeding habits of the moon jellyfish. As part of a laboratory experiment, they will randomly assign one of three treatments, low pH, medium pH, or high pH, to the water in the tanks that hold the jellyfish.

Which of the following is the best reason for the random assignment of a treatment level to an experimental unit?

A. Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

B. Randomization will make up for improper experimental design, data collection, and analysis.

C. Randomization makes the analysis easier since the data can be entered into the computer in any order.

D. Randomization is required by statistical consultants before they will analyze the experiment.

E. Randomization means that the experiment would not need to be replicated---

Randomization is used to ensure that the results of a trial or an experiment are actually because if the treatment or hypothesis we are trying, instead of any other external factor that we can not control, or because it just always happens that way, if all of the jellyfish are affected or not in the same way, then the Ph had little to nothing to do with it, and if only one group of them is affected we can re-try the experiment to see if the difference in the Ph had anything to do with the change.

Answer:

A.Randomization tends to minimize the effects of uncontrolled variables, such as water temperature, so that such factors are not confounded with the treatment effects.

Step-by-step explanation:

If quadrilateral PQRS is an isoceles trapezoid if RP=12 then SQ= ?

Answers

The question is missing parts. Here is the complete question.

Quadrilateral PQRS (shown below) is an isosceles trapezoid. If RP = 12, then SQ = ?

Answer: SQ = 12

Step-by-step explanation: A trapezoid is a quadrilateral with two opposite parallel sides, called bases. The trapezoid is an isosceles trapezoid when the non-parallel sides have the same length.

One property of isosceles trapezoid is that its diagonals are congruent, i.e., have the same length.

In the picture, segment RP is one of the trapezoid's diagonal. It is asking the measure of SQ, which is the other diagonal. So:

SQ = RP

SQ = 12

Segment SQ of isosceles trapezoid PQRS is 12 units.

Answer:

if quadrilateral PQRS is an isosceles trapezoid if RP=12 then SQ= 12

Step-by-step explanation:

Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $307.50. How many overtime hours did she work that week?