If we use the multiplicative decomposition method to analyze the quarterly bicycle sales data given in Table 17.3 below, we find that the quarterly seasonal factors are
.45,1.24,1.69
, and . 66 . Furthermore, if we use a statistical software package to fit a straight line to the deseasonalized sales values, we find that the estimate of the trend is
tI_(t)=22.61+.59t
In addition, we find that the half-lengths of 95 percent prediction intervals for the deseasonalized sales values in the four quarters of the next year are, respectively,
2.70,2.87,2.94
, and 2.98 . (a) Calculate point predictions of bicycle sales in the four quarters of the next year. (Round yourd answers to
2
decimal places.) (b) Calculate approximate 95 precent prediction intervals for bicycle sales in the four quarters of the next year. ( Round your answers to 2 decimal places.)