Example 3: Using three-year moving averages, determine the trend. Production (1000 tonnes) Production (1000 tonnes) Year Year 1990 21 1995 22 1991 22 1996 25 1992 23 1997 26 1993 25 1998 27 1994 24 1999 26

Consider the table which shows the quarterly sales of a company for 2021 and 2022. YEAR QUARTER SALES (R 000) 2021 1 800 2 740 3 900 4 860 2022 1 950 2 770 3 990 4 1020 The first centered average is: A. 878.75 B. 825.00 C. 843.75 D. 770.00

C. Describe the four characteristics of association

Please help with the corrected answers in details: The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 What type of pattern exists in the data?  The data appear to follow a trend pattern. The data appear to follow a horizontal pattern.     The data appear to follow a cyclical pattern.The data appear to follow a seasonal pattern. (b) Use ? = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast  Ft 1 105   2 135   3 120   4 105   5 90   6 120   7 145   8 140   9 100   10 80   11 100   12 110   (c) Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast  Ft 1 105   2 135…