Use Computer Software to Find the Multiple Regression Equation $= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }$

question 5

Multiple Choice

Use computer software to find the multiple regression equation. Can the equation be used for prediction?
-FPEA, the Farm Production Enhancement Agency, regressed corn output against acreage, rainfall, and a trend line. The trend line is proxy for technological advancement in farming from improved pest control, fertilization,
Land management, and farming implements.

• A) CORNPROD \(= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }\); No, because the P-value is low
• B) CORNPROD \(= - 0.9 + 1.68 \mathrm { ACRES } + 0.79 \mathrm { RAIN } + 10.2 \mathrm { TREND }\); Yes, because the adjusted \(\mathrm { R } 2\) is high
• C) CORNPROD \(= - 16.3 + 2.6 \mathrm { ACRES } + 3.9 \mathrm { RAIN } + 21.3 \mathrm { TREND }\); Yes, because the the \(\mathrm { R } ^ { 2 }\) is high
• D) CORNPROD \(= - 21.1 + 0.036 \mathrm { ACRES } + 2.62 \mathrm { RAIN } + 27.6 \mathrm { TREND }\); Yes, because the \(\mathrm { R } ^ { 2 }\) is high

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Definitions:

General Adaptation Syndrome

A three-stage response model describing the body's short-term and long-term reactions to stress, composed of alarm, resistance, and exhaustion phases.

Physiological Exhaustion

A state of extreme physical or mental fatigue brought about by excessive strain or use.

Energy Reserves

Stored substances in the body, such as glycogen and fat, that can be utilized as fuel for biological processes when needed.

General Adaptation Syndrome

A sequence of three reactions (alarm, resistance, exhaustion) proposed by Hans Selye, which the body experiences during extended periods of stress.