An Analyst Examines the Effect That Various Variables Have on Crop

question 68

Essay

An analyst examines the effect that various variables have on crop yield. He estimates the following model: = b₀ + b₁x₁ + b₂x₂ + b₃x₃ + ε, where y is the average yield in bushels per acre, x₁ is the amount of summer rainfall, x₂ is the average daily use in machine hours of tractors on the farm, and x₃ is the amount of fertilizer used per acre. A portion of the regression results is shown in the accompanying table. a. Predict the crop yield per acre if x₁ is 5, x₂ is 4, and x₃ is the 0.5.
B) Calculate the standard deviation of the difference between the actual crop yield and the estimate of the crop yield.
C) How much of the variation in crop yield is unexplained by the model?

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Definitions:

Institutional Review Board (IRB)

A committee that reviews and monitors research involving human participants to ensure ethical standards are maintained.

American Psychological Association (APA)

A leading scientific and professional organization representing psychology in the United States, dedicated to advancing the creation, communication, and application of psychological knowledge to benefit society and improve lives.

Ethical Guidelines

Set of principles designed to guide behavior and decision-making based on moral duties and virtues.

Random Sample

A method of selecting a subset of individuals from a population in such a way that every individual has an equal probability of being chosen.