Example 18.16) The sales of a company (in lakh of Rs) for the seven years are given below: Year 1990 1991 1992 1993 1994 1995 1996 Sales 32 47 65 88 132 190 275 Find out the trend values by using the equation, Y = ab*.
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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?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 90A 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!
- An 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…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 $) 40 30 80 100 120 90 200 230The profits of a company for the last 8 years are given below. calculate the range and it's coefficient: years 1995 1996 1997 1998 1999 2000 2001 2002 profits (in '000$) 40 30 80 100 120 90 200 230
- The following Table gives the profits of a concern for 5 years ending 1983 : Year 2009 2010 2011 2012 2013 Profits (000 ) 1.6 4.5 13.8 40.2 125.0 Find out the trend values by using the equation Y.= A.B*.b) The following are the quarterly index numbers of whole sale prices: Year 1928 1929 1930 1931 1932 1933 1934 Values 125 112 136 142 118 120 122 Fit a linear trend to these data and find trend values(Y). Take the deviations of the observed values(Y) and verify that E(Y-Y^)=0.For a period of 11 years, the figures in the accompanying table were found for annual change in unemployment rate and annual change in mean employee absence rate due to own illness. Year Change in UnemploymentRate Change in Mean Employee Absence Rate Due to Own Illness (Y) 1 -0.2 0.2 2 -0.1 0.2 3 1.4 0.2 4 1.0 -0.4 5 -0.3 -0.1 6 -0.7 0.2 7 0.7 -0.1 8 2.9 -0.8 9 -0.8 0.2 10 -0.7 0.2 11 -1.0 0.2 a. Estimate the linear regression of change in mean employee absence rate due to own illness on change in unemployment rate. b. Interpret the estimated slope of the regression line. thanks.
- 13. Given below are the figures of production of a factory. Year: 1992 1993 1994 1995 1996 1997 1998 Production: 80 90 92 83 94 99 92 (*000 tons) Fit a straight line trend. CS Scanned with CamScannerlakhs) 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.The Consumer Price Index provides a means of determining the purchasing power of the U.S. dollar from one year to the next. To use the Consumer Price Index to predict a price in a particular year, we can set up a proportion and compare it with a known price in another year as follows:(price in year A)/(index in year A)=(price in year B)/(index in year B)In 1986 the Consumer Price Index was 109.6 and in 2010 it was 218.1. Find the amount that would be charged in 2010 for the use of the same amount of electricity that cost $110 in 1986. Give your answer to the nearest dollar.
