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

question 49

Multiple Choice

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

• A) We expect the mean volume of wheat harvested to increase 2000 bushels from one year to the next.
• B) We expect the volume of wheat harvested to increase 2000 bushels for each additional corporate member.
• C) We expect the volume of wheat harvested to be 2000 bushels in any given year.
• D) We expect to harvest 2000 bushels of wheat in 2005.

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Definitions:

Familism

A cultural belief emphasizing the importance of family connections, loyalty, and reliance within a social group.

Family Obligation

Duties, responsibilities, or expectations that individuals may have towards their family members, often culturally defined.

Risk Factors

Characteristics or conditions that increase the likelihood of developing a disease or injury.

Developmental Outcomes

The measurable progress or changes in individuals, typically children, across various domains of development.