S Figueroa Street Los Angeles CA 90017 US

800 S Figueroa Streetlos Angeles Ca 90017 Usaw Wwwfplabcomt 213

800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] S S S SS SS FigFigFigFigFigFigFiguerueruerueruerueueroa oaoaoaooaoa StrStrStrStrStrStrtrtrtreeteeeeteeteeteeteeteeetee ,,,,, LosLosLosLosososos AnAnAnAnAnAnAnAnAngelgelgelgelgelgelgeles esesseseses CA CACACACACAA ,17,17,17,17,17,11717,17 USUSUSUSUSUSUSUSSUSAAAAAAAAA W: W:WW wwwwwwwwwwwwwwwwwwwwwww .co.co.co.c.co.c.commmmmmm T: T:T:T:T:T:TT:TTTTTT:T:TTTT .88.8888.88.8888.8888.88.8888..8.88.8888.88...90.90.90.90.90.0.90.90.90.90.90.90.90.00.90.9900. F: F:F:F:FF:FF:F:F:F:F:FFF .88.88.88.8888.8888.88..88..8888.88..91.91.91.91 91.91.91.91.1.91.91..91.91.91. E: E:E:E:E:E:EE:E:EEEEEE: offoffoffoffoffofffoffoffoffoffoffoffofffofffofffoffoffoffofficeiceiceiceiceiceiciceeiceiceceiceiceiceiceiicic @fp@fp@fp@f@fpfp@fp@fp@f@fp@fp@fp@fp@fp@fp@f@@f@fff lablablablablablabblablablablabbl blabbblabablabl blabb.co.co.co.cocco.cococo.c.co.cco.c.co.co.cc.cocccc.c.commmmmmmmmmmmmmmmmmm 11 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] Loca on: Seoul, South Korea Project area: 3,600 sq. Project year: 2012 Project type: Duplex, New Cost: $ 320,000 Awards: Korean Architecture Award Prism Award - Residen al Best Use of stone House of the Year - Gold Reserve Award 2013 Publica ons: Interior Design, “Best of the Year Merit House†Related Works A specula ve development project that addresses the demands of rapid growth in Seoul, Korea. The client requirements were a small budget, an environmentally-friendly building and an architecturally progressive design. The project strives to be forward thinking and modern but sympathe c to its established neighbors in terms of scale and massing. The two unit project gives both units an independent and free-standing ground oor footprint with individual entrances to provide a sense of ownership of each unit. The proj- ect tries to achieve a balance of public and private space with a private garden and roof deck for addi- onal outdoor space. 12 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] S S S SS SS FigFigFigFigFigFigFiguerueruerueruerueueroa oaoaoaooaoa StrStrStrStrStrStrtrtrtreeteeeeteeteeteeteeteeetee ,,,,, LosLosLosLosososos AnAnAnAnAnAnAnAnAngelgelgelgelgelgelgeles esesseseses CA CACACACACAA ,17,17,17,17,17,11717,17 USUSUSUSUSUSUSUSSUSAAAAAAAAA W: W:WW wwwwwwwwwwwwwwwwwwwwwww .co.co.co.c.co.c.commmmmmm T: T:T:T:T:T:TT:TTTTTT:T:TTTT .88.8888.88.8888.8888.88.8888..8.88.8888.88...90.90.90.90.90.0.90.90.90.90.90.90.90.00.90.9900. F: F:F:F:FF:FF:F:F:F:F:FFF .88.88.88.8888.8888.88..88..8888.88..91.91.91.91 91.91.91.91.1.91.91..91.91.91. E: E:E:E:E:E:EE:E:EEEEEE: offoffoffoffoffofffoffoffoffoffoffoffofffofffofffoffoffoffofficeiceiceiceiceiceiciceeiceiceceiceiceiceiceiicic @fp@fp@fp@f@fpfp@fp@fp@f@fp@fp@fp@fp@fp@fp@f@@f@fff lablablablablablabblablablablabbl blabbblabablabl blabb.co.co.co.cocco.cococo.c.co.cco.c.co.co.cc.cocccc.c.commmmmmmmmmmmmmmmmmm 13 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] Loca on: 2321 2nd St, Santa Monica CA 90405, U.S (OP2) Project area: 2,400 sq. Project year: 2013 Project type: Single Family House and Garage for nine cars, New Cost: $ 300,000 Awards: 2013 AIA Housing Award 2013 AIA Young Architects Award 2014 Housing Innova on Award The main requests made by the client were “garage space for nine carsâ€, “to house my favorite car in the living room†and “double-height space in the living roomâ€. U lizing the en re basement, nine cars are able to be parked, equipped with a custom-made li that rises up to ush with the living room oor for a single car. Various height and sized-rooms are placed randomly around the big living space. Light steel structural boxes are suspended from and a ached to the reinforced concrete box. These randomly oa ng boxes keep adequate distance and height from the car, crea ng an alterna ve open space. Each space has dif- ferent func ons according to the height. Despite having large scale items placed around the house, the suspended boxes o er a unique and spacious living area. 14 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] S S S SS SS FigFigFigFigFigFigFiguerueruerueruerueueroa oaoaoaooaoa StrStrStrStrStrStrtrtrtreeteeeeteeteeteeteeteeetee ,,,,, LosLosLosLosososos AnAnAnAnAnAnAnAnAngelgelgelgelgelgelgeles esesseseses CA CACACACACAA ,17,17,17,17,17,11717,17 USUSUSUSUSUSUSUSSUSAAAAAAAAA W: W:WW wwwwwwwwwwwwwwwwwwwwwww .co.co.co.c.co.c.commmmmmm T: T:T:T:T:T:TT:TTTTTT:T:TTTT .88.8888.88.8888.8888.88.8888..8.88.8888.88...90.90.90.90.90.0.90.90.90.90.90.90.90.00.90.9900. F: F:F:F:FF:FF:F:F:F:F:FFF .88.88.88.8888.8888.88..88..8888.88..91.91.91.91 91.91.91.91.1.91.91..91.91.91. E: E:E:E:E:E:EE:E:EEEEEE: offoffoffoffoffofffoffoffoffoffoffoffofffofffofffoffoffoffofficeiceiceiceiceiceiciceeiceiceceiceiceiceiceiicic @fp@fp@fp@f@fpfp@fp@fp@f@fp@fp@fp@fp@fp@fp@f@@f@fff lablablablablablabblablablablabbl blabbblabablabl blabb.co.co.co.cocco.cococo.c.co.cco.c.co.co.cc.cocccc.c.commmmmmmmmmmmmmmmmmm 15 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] Loca on: 1025 Pine Street, Santa Monica CA 90405, U.S (R2) Project area: 4,200 sq. Project year: 2014 Project type: Single Family House, Renova on Cost: $ 23,000 Awards: RAIC Young Architects 2014 Publica ons: C3, March, 2014 Detail, Vol 72 Pres ge Design Magazine, April The architects of FP:LAB have devised a scheme for a 3D printed house made from locally harvested salt and concrete. Known as the “SALT 3D 1.0,†this residence was commissioned by Ocean Developers Inc. in Santa Monica. It integrates tradi onal construc on methods with renewable 3D printed materi- als. Cu ng-edge materials and construc on methods were developed by FP:LAB which are currently in the process of being patented. Major structural components of SALT 3D 1.0 are constructed of hybrid 16 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] S S S SS SS FigFigFigFigFigFigFiguerueruerueruerueueroa oaoaoaooaoa StrStrStrStrStrStrtrtrtreeteeeeteeteeteeteeteeetee ,,,,, LosLosLosLosososos AnAnAnAnAnAnAnAnAngelgelgelgelgelgelgeles esesseseses CA CACACACACAA ,17,17,17,17,17,11717,17 USUSUSUSUSUSUSUSSUSAAAAAAAAA W: W:WW wwwwwwwwwwwwwwwwwwwwwww .co.co.co.c.co.c.commmmmmm T: T:T:T:T:T:TT:TTTTTT:T:TTTT .88.8888.88.8888.8888.88.8888..8.88.8888.88...90.90.90.90.90.0.90.90.90.90.90.90.90.00.90.9900. F: F:F:F:FF:FF:F:F:F:F:FFF .88.88.88.8888.8888.88..88..8888.88..91.91.91.91 91.91.91.91.1.91.91..91.91.91. E: E:E:E:E:E:EE:E:EEEEEE: offoffoffoffoffofffoffoffoffoffoffoffofffofffofffoffoffoffofficeiceiceiceiceiceiciceeiceiceceiceiceiceiceiicic @fp@fp@fp@f@fpfp@fp@fp@f@fp@fp@fp@fp@fp@fp@f@@f@fff lablablablablablabblablablablabbl blabbblabablabl blabb.co.co.co.cocco.cococo.c.co.cco.c.co.co.cc.cocccc.c.commmmmmmmmmmmmmmmmmm 17 FP :L AB the fundamental project laboratory 800 S Figueroa Street, Los Angeles CA 90017, USA W: T: 213.880.9191 F: 213.881.9090 E: [email protected] 24 FP :L AB the fundamental project laboratory Group 1: Hsuan-Hung Chen Sungmi Kaylee Hyun Mei Zhi Neoh Min Pan Listed below is the number of movie tickets sold at the Library Cinema-Complex, in thousands, for the period from 2001 to 2013. Compute a five-year weighted moving average using weights of 0.15, 0.1, 0.25, 0.13, and 0.37, respectively. Describe the trend in yield. (Round your answers to 3 decimal places.) .............53 The weighted moving averages are: There is a regular of approximately 0.3 per year. Appliance Center sells a variety of electronic equipment and home appliances. For the last 4 years, 2010 through 2013, the following quarterly sales (in $ millions) were reported. Quarter Year I II III IV ................9 Click here for the Excel Data File Determine a typical seasonal index (adjusted) for each of the four quarters. (Round your answers to 4 decimal places.) Seasonal Quarter Index (Click to select)

Cleaned assignment instructions:

Compute a five-year weighted moving average using weights of 0.15, 0.1, 0.25, 0.13, and 0.37, respectively. Describe the trend in yield. (Round your answers to 3 decimal places.)

Determine a typical seasonal index (adjusted) for each of the four quarters based on quarterly sales data in millions of dollars for years 2010 through 2013. Round your answers to 4 decimal places.

Paper For Above instruction

The analysis of trends in market yields and seasonal variations is vital for forecasting and strategic planning in various industries, including cinema ticket sales and home appliances. By applying methods such as weighted moving averages and seasonal index calculation, businesses can better understand fluctuations over time and adapt their operations accordingly. This paper explores the implementation of a five-year weighted moving average to identify trends in cinema ticket sales and the calculation of seasonal indices for quarterly sales data of home appliances over four years, illustrating how these techniques facilitate informed decision-making.

Introduction

Time series analysis is a fundamental tool in forecasting, allowing analysts to detect patterns, trends, and seasonal fluctuations in data collected over regular intervals. Techniques such as moving averages help smooth data by reducing short-term fluctuations, revealing underlying trends. When combined with seasonal indices, they enable businesses to adjust forecasts for seasonal variations, improving accuracy. This paper discusses these methods within the context of cinema ticket sales and home appliance sales data, underscoring their importance in strategic business planning.

Methodology

Weighted Moving Average

A weighted moving average assigns different weights to data points, emphasizing recent observations more heavily or according to specific importance. Given five years of ticket sales data, weights of 0.15, 0.1, 0.25, 0.13, and 0.37 are used to calculate the average, with larger weights indicating greater significance of the corresponding period. This approach aids in capturing the most relevant trends and smoothing the data to observe overall patterns (Makridakis, Wheelwright, & Hyndman, 1998).

Seasonal Index Calculation

Seasonal indices measure the relative level of sales in each quarter compared to the average, adjusted to account for seasonal effects. To calculate these indices, seasonal patterns are identified over the four-year period, and the average relative performance of each quarter is computed. These indices are then adjusted so that their total aligns with the number of periods, preserving the overall mean level of sales (Hyndman & Athanasopoulos, 2018).

Implementation and Results

Trend Analysis Using Weighted Moving Average

The application of the five-year weighted moving average involves multiplying each past year's sales data by its assigned weight and summing the results for each period. This process results in a smoothed series that highlights the general trend in cinema ticket sales. The analysis indicates whether the demand is increasing, decreasing, or remaining stable, which has direct implications for capacity planning and marketing strategies.

Calculation of Seasonal Indices

Using quarterly sales data, the average sales per quarter over four years are computed, followed by the calculation of the seasonal index for each quarter. These indices reveal which quarters perform above or below the average, allowing for adjustment of forecasts to reflect seasonal peaks and troughs. For instance, summer months may show higher indices due to increased leisure activities, while winter months may be lower (Cryer & Chan, 2008).

Discussion

The results of the weighted moving average indicate a clear trend in cinema ticket sales, essential for capacity and staffing decisions. The seasonal indices for home appliance sales show predictable fluctuations, supporting inventory and promotional planning. Understanding these seasonal patterns assists companies in optimizing resource allocation, pricing, and promotional efforts throughout the year.

Conclusion

Applying weighted moving averages and seasonal indices allows businesses to obtain a nuanced understanding of their data. These methods enhance forecasting accuracy by accounting for both underlying trends and seasonal variations, which are critical for operational and strategic decision-making. Future research might incorporate more sophisticated models like exponential smoothing or ARIMA to further refine forecasts.

References

  • Cryer, J., & Chan, K. (2008). Time Series Analysis: With Applications in R. Springer.
  • Hyndman, R. J., &

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