(Situation L) a Farmer's Marketing Cooperative Recorded the Volume of Wheat

Multiple Choice

(Situation L) A farmer's marketing cooperative recorded the volume of wheat harvested by its members from 1991
The cooperative is interested in detecting the long-term trend of the amount of wheat harvested. The data collected is shown in the table.
$$\begin{array} { l c c } \hline \text { Year } & \text { Time } & \begin{array} { c } \text { Wheat Harvested by Coop. Member } \\\text { (y, in thousands of bushels) }\end{array} \\\hline 1991 & 1 & 75 \\1992 & 2 & 78 \\1993 & 3 & 82 \\1994 & 4 & 82 \\1995 & 5 & 84 \\1996 & 6 & 85 \\1997 & 7 & 87 \\1998 & 8 & 91 \\1999 & 9 & 92 \\2000 & 10 & 92 \\2001 & 11 & 93 \\2002 & 12 & 96 \\2003 & 13 & 101 \\2004 & 14 & 102 \\\hline\end{array}$$
-Find the least squares prediction equation for the model $y _ { t } = \beta _ { 0 } + \beta _ { 1 } t + \varepsilon$ .

A) $\hat { y } _ { t } = - 74.2 - 1.9165 \mathrm { t }$
B) $\hat { y } _ { \mathrm { t } } = 1.9165 - 74.2 \mathrm { t }$
C) $\hat { y } _ { t } = 74.2 - 1.9165 \mathrm { t }$
D) $\hat { y } _ { \mathrm { t } } = 74.2 + 1.9165 \mathrm { t }$