A Grass Seed Company Conducts a Study to Determine the Relationship

question 36

Multiple Choice

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn.Eight similar plots of land are selected and each is planted with a particular density of seed.One month later the quality of each lawn is rated on a scale of 0 to 100.The regression analysis is given below. Dependent variable is: Lawn Quality
R-squared = 36.0%
S = 9.073602 with 8 - 2 = 6 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 33.14815 & 7.510757 & 4.413423 & 0.004503 \\\text { Seed Density } & 4.537037 & 2.469522 & 1.837213 & 0.115825\end{array}$$

• A)Lawn Quality = 33.14815 + 4.537037 × Seed Density; We estimate that the lawn quality of these plots increases about 4.537037 points for each 1 pound per 500 square foot increase in seed density.
• B)Lawn Quality = 33.14815 × Seed Density + 4.537037; We estimate that the lawn quality of these plots increases about 4.537037 points for each 1 pound per 500 square foot increase in seed density.
• C)Seed Density = 33.14815 + 4.537037 × Lawn Quality; We estimate that the seed density of these plots increases about 4.537037 pounds per 500 square feet for each 1 point increase in lawn quality.
• D)Lawn Quality = 33.14815 × Seed Density + 4.537037; We estimate that the lawn quality of these plots increases about 33.14815 points for each 1 pound per 500 square foot increase in seed density.
• E)Lawn Quality = 33.14815 + 4.537037 × Seed Density; We estimate that the lawn quality of these plots increases about 33.14815 points for each 1 pound per 500 square foot increase in seed density.

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Definitions:

Cognitive Dissonance Theory

A theory suggesting that individuals experience discomfort when holding two or more conflicting cognitions (beliefs, attitudes, or values), leading to an alteration in one of the cognitions to reduce the discomfort.

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A self-help organization and mutual aid fellowship for individuals who struggle with alcoholism, offering peer support to achieve and maintain sobriety.

Attitude Change

The process by which an individual's general feelings, beliefs, and behaviors towards a person, object, or event are altered.

Cognitive Dissonance

The psychological discomfort experienced when holding two or more contradictory beliefs, values, or ideas simultaneously.