Consider the following time series. 1 3 4 Yt 10 10 14 16 (a) Choose the correct time series plot. (i) (ii) 16 16 14 14 12 12 10 10 2 3 4 2 3. 4 (iii) (iv) 16 16 14 14 12 12 10 10 4 2 1. 2 3. 4 1 2 3. Plot (i) What type of pattern exists in the data?
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- The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?Consider the following time series data. Choose the correct time series plot. (i) (ii) (iii) (iv) Plot (ii) What type of pattern exists in the data?Horizontal Pattern Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 3 16 4 11 fill in the blank 3 5 17 fill in the blank 4 6 14 fill in the blank 5 MSE: fill in the blank 6The forecast for week 7: fill in the blank 7 Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 fill in the blank 8 3 16 fill in the blank 9 4 11 fill in the blank 10 5 17 fill in the blank 11 6 14 fill in the blank 12 MSE: fill in the blank 13The forecast for week 7: fill in the blank 14Consider the following time series data. Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 3 16 4 11 fill in the blank 3 5 17 fill in the blank 4 6 14 fill in the blank 5 MSE: fill in the blank 6The forecast for week 7: fill in the blank 7 Use α = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. If required, round your answers to two decimal places. Week Time SeriesValue Forecast 1 18 2 13 fill in the blank 8 3 16 fill in the blank 9 4 11 fill in the blank 10 5 17 fill in the blank 11 6 14 fill in the blank 12 MSE: fill in the blank 13The forecast for week 7: fill in the blank 14 Compare the three-week moving average…
- The time series pattern that exists when the data fluctuate around a constant mean is the ______________. A. horizontal pattern. B. seasonal pattern. C. cyclical pattern. D. trend pattern.Describe the three major categories of data (time-series, cross-sectional, and panel).Q. 3 We are given the following data for a city: Population of the city on March 30, 2020 = 183,000 Number of new active cases of TB occurring between January 1 and June 30, 2020 26 Number of active TB cases according to the city register on January 1, 2020 = 264 Find the (i) Cumulative incidence of active cases of TB for the 6-month period3; (ii) Prevalence of active TB as of June 30, 2020.
- Time series data usually shows a pattern, which is caused by a systematic and unsystematic pattern.A consumer interest group is tracking the percentage of household income spent on gasoline over the past 30 years. Which graphical display would be more useful, a histogram or a time-series graph. Why? a. A histogram because the change in data over time is the most relevant issue.b. A time-series graph because the change in data over time is the most relevant issue. c. A time-series graph because the range of values for the data is the most relevant issue.6. A histogram because the range of values for the data is the most relevant issue.A bank wanted to find out whether the number of loan applications received are influenced by the current loan interest rate. The manager selected 11 monthly periods for which different interest rates applied and recorded the number of loan applications received. (b) Show the data graphically in a scatter plot. What relationship is observed? SHOW SOLUTION PLEASE!
- Q. 3 We are given the following data for a city: Population of the city on March 30, 2020 = 183,000 Number of new active cases of TB occurring between January 1 and June 30, 2020 = 26 Number of active TB cases according to the city register on January 1, 2020 = 264 Find the (i) Cumulative incidence of active cases of TB for the 6-month period; (ii) Prevalence of active TB as of June 30, 2020.The data in the following table provide the relationship between breast-cancer incidence rate and menopausal status by age, based on Nurses’ Health Study (NHS) data from 1976-1990. The incidence rate for each group is given in two ways - first as cases/person-years and then as (cases per 100,000 person-years). Age Premenopausal Postmenopausal 35-39 124/131,704 (94) 15/14,795 (101) 40-44 264/179,132 (147) 47/43,583 (108) 45-49 304/151,548 (201) 163/90,965 (179) 50-54 159/61,215 (260) 401/184,597 (217) 55-59 25/6133 (408) 490/180,458 (272) Problem 1 Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, controlling for age. Write out all 4 steps of the hypothesis test including a two-tailed -value. Problem 2 Provide a point estimate of the incidence rate ratio for postmenopausal vs. premenopausal women after controlling for age. Support your estimate with a 95%…Q. 2 Describe the method of Moving averages for estimating the trend in a time series