Statistics- The estimated trend value of community water consumption

QUESTION

ss21. The estimated trend value of community water consumption is 400,000 gallons for a given month. Assuming that the cyclical component is 120% of normal, with the seasonal and irregular components 70% and 110% of normal, respectively, use the multiplicative time series model in determining the quantity of water consumed during the month.22. Fit a linear trend equation to the following data describing average hourly earnings in the metal-cutting machine tools industry.1 What is the trend estimate for 1994?Year: 1985 1986 1987 1988Average hourly earnings: $12.42 $12.78 $12.90 $13.0523. A management consulting firm consists of three partners, whose number of clients and average fee per client were as shown below for 1988 through 1990: a b c a b c1988 8 10 3 $2,500 $15,000 65,000 1989 10 8 4 $1,500 $20,000 $50,000 1990 15 12 2 $3,000 10,000$80,000a. Using 1988 as the base period, what is the simple aggregate price index for clients served in 1989? In 1990?b. Using 1988 as the base period, what is the simple aggregate quantity index for the number of clients served in 1989? In 1990?24. U.S. brick shipments from 1977 through 1988 are represented by the following index numbers. Convert the index numbers so that the base period will be 1984 instead of 1980.1977 142.6 1983 101.61978 141.0 1984 114.81979 126.2 1985 111.51980 100.0 1986 121.31981 83.6 1987 119.71982 83.6 1988 116.425. The following table summarizes the unit sales and prices for Nuts from 1987 through 1990:Pounds SoldPrice per Pound Cashews Hot Mix Macadamia Nuts Cashews Hot Mix Macadamia Nuts1987 1240 140 40 $7.50 $4.00 $14.001988 1310 200 400 $8.00 $6.00 $16.001989 1400 160 520 $9.50 $7.50 $19.501990 1950 850 840 $11.00 $8.00 $23.00Using 1987 as the base period, constructa. A Paasche price index for each year.b. A Laspeyres price index for each year.c. A fixed-weight aggregate price index for each year. For weighting, use the average annual number of pounds sold for each type of nut during the 1988-89 period.

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