Components of time series
Name and elaborate the four components of time series in brief.
Expert
• TREND (SECULAR TREND):Time series data would normally show an upward or downward trend over a period of time. A trend is a longterm movement in time series. They are generally gradual increases or decreases over a period of time and an example of an upward trend would be price increases over the years, and a downward trend would be decrease in sales over the years. The increase or decrease is fairly gradual and thus a smooth curve or straight line curve generally depicts the trend.
• CYCLICAL VARIATIONS (C):These variations are not regular as seasonal variation, they are medium to long term deviations from the trend. Cyclical variations are recurrent upward or downward movements in a time series but the period of cycle is greater than a year. There are different cycles of varying in length and size. A business cycle is one of the most common forms and passes through stages.
• SEASONAL VARIATIONS (S):Seasonal variations are fluctuations that are repeated periodically, they are short term fluctuations and occur periodically within a year. Major factors causing this repetition are weather conditions and customs of people.• RANDOM (IRREGULAR) VARIATION (R):
These are fluctuations in time series that are short in duration, unpredictable occurrences that are erratic in nature and follow no regular pattern. They result due to unforeseen events such as droughts, strikes etc.
As of last year, only 20% of the employees in an organization used public transportation to commute to and from work. To determine if a recent campaign encouraging the use of public transportation has been effective, a random sample of 25 employees is to be interviewe
Kramer spends all of his income $270 on two products, soup (S) and on golf balls (G). He always bought 2 golf balls for every 1 cup of soup he consumes. He acquires no additional utility from the other cup of soup unless he as well gets 2 more golf balls a
what are the advantages and disadvantages of seasonal variation
The table below illustrates the relationship between two variable X and Y. A
A) What is the probability of getting the following sequence with a fair die (as in dice):B) What is the probability of getting the same sequence with a die that is biased in the following way: p(1)=p(2)=p(3)=p(4)=15%;
In testing the null hypothesis H0: P=0.6 vs the alternative H1 : P < 0.6 for a binomial model b(n,p), the rejection region of a test has the structure X ≤ c, where X is the number of successes in n trials. For each of the following tests, d
What are the Bayesian Point of estimation and what are the process of inference in Bayesian statistics?
Random variables with zero correlation are not necessarily independent. Give a simple example.
A nurse practitioner working in a dermatology clinic is studying the efficacy of tretinoin in treating women’s post partum abdominal stretch marks. From a sample of 15 women, the mean reduction of stretch mark score is -0.33 with a sample standard deviation of 2.46. Describe what happens to the c
1. A popular resort hotel has 300 rooms and is usually fully booked. About 4% of the time a reservation is canceled before 6:00 p.m. deadline with no penalty. What is the probability that at least 280 rooms will be occupied? Use binomial distribution to find the exact value and the normal approxi
18,76,764
1923523 Asked
3,689
Active Tutors
1434917
Questions Answered
Start Excelling in your courses, Ask an Expert and get answers for your homework and assignments!!