Given below is the trend line equation of a time series relating to sales of a firm. Y 15 + 2X where 1st quarters of 1996 is the trend origin, quarterly time deviation and quarterly sales (in '000 Rs.). The seasonal indices of the sales were as under : X = Y Qrs. I II III IV S.I. 110 120 80 90 Basing upon the above information estimate the quarterly sales for the year 1998 by the multiplicative model of the time series.
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- Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?lakhs) of a certain commodity for the year On the basis of quarterly sales (in 2008-12, the following calculations were made : Trend: Y = 20 + 0.5 t with origin at 1st quarter of 2008. where 1 = time unit = one quarter and y = quarterly sales ( Seasonal variations: Quarter I II III IV Seasonal Index 80 90 120 110 Estimate the quarterly sale for the year 1979 using multiplicative model.35 The equation for yearly sales (in 000 Rs.) for a commodity with year 1971 as origin Y= 91.6 + 28.8X. Determine the trend equation to give monthly trend values with Jan. 1972 as origin and calculate the trend for March 1972.
- Calculate trend values by the method of least square from the data given below and estimate the sales for 1983 : Year 1976 1977 1978 1979 1980 : Sales of Co. ('000,000) : 70 74 80 86 90The sales (in $'000) of CBO by a large department store for each period of three months are as follows. Quarter 20X4 First Second Third Fourth Required (a) Using an additive model, find the centred moving average trend. (b) Find the average seasonal variation for each quarter. (c) Predict sales for the last quarter of 20X7 and the first quarter of 20X8, stating any assumptions Show your workings more so in part b 20X5 20X6 20X7 8 30 60 20 20 50 80 40 40 62 92 24An economist at Nedbank ran a study of the relationship between FTSE/JSE All Shares index return (JALSH) and consumer price index (CPI) from 2006 to 2017, the data collected is shown in the Table 1 below. FTSE/JSE All Shares index return (JALSH) and consumer price index (CPI) from 2006 to 2017. Year JALSH (Y) CPI (X) 2006 0.41 4.7 2007 0.19 7.1 2008 -0.23 11.5 2009 0.32 7.1 2010 0.19 4.3 2011 0.03 5.0 2012 0.27 5.6 2013 0.21 5.7 2014 0.11 6.1 2015 0.05 4.6 2016 0.00 6.4 2017 0.21 5.3 The estimated regression…
- 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!59. Given monthly trend equation : TeJ Y= 10 + 2X 016 Ongt the monthly trend equation into annual trend equation. Also, compute trend value for %3D %3D the year 2016. X3d10. The BEST company has developed a trend equation which is based on the quarterly sales on its Bluetooth wireless headphone (in $'000) over the past 3 years is: y = 10.2 + 1.6t where t 1 for quarter 1 of year 1 The following table gives the adjusted seasonal index for each quarter. Using the multiplicative model, complete the below table to determine the trend value and forecast for each of the four quarters of the fourth year (correct to 1 decimal place). Year Quarter Trend value (y) Adjusted Forecast (S'000) seasonal index (S'000) -4.6 -2.9 15 34.2 1.8 16 35.8 5.6 రాండ రంరు 装 零響券 2. 3. 4. 4.
- The profits of a Company for the last 8 years are given below. Calculate the Range and its Coefficient : Year 1995 1996 1997 1998 1999 2000 2001 2002 Profits (in '000 $) 40 30 80 100 120 90 200 230The equation for yearly sales in ('000 ) for a commodity with Ist July 2011, as origin is Y = 81.6 + 28.8 X Determine the trend equation to give monthly trend values with 15th Jan. 2012 as origin33. The following is a monthly trend equation: Y 40 + 4X [origin Jan. 2012, X-unit = one month, Y-unit = monthly sales (in 000 rupees]. Convert it into an annual trend equation. %3D