QUESTION ONE

The following data relate to annual production in a fertilizer factory ( in thousand tons)

Year(t); 1977, 1978, 1979, 1980, 1981, 1982,1983,

Production; 70, 75, 90, 91, 95, 98, 100. where year(t) match with production respectively.

i)Find the value of x,where x=t−1980in each year

ii)Fit a linear trend by the method of least square and estimate the trend values

iii)Estimate the trend value of 1985