A Grass Seed Company Conducts a Study to Determine the Relationship

question 6

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 $= 36.0$ 웅
$s = 9.073602$ with $8 - 2 = 6$ degrees of freedom
$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.14815 & 7.510757 & 4.413423 & 0.004503 \\ \text { Seed Density } & 4.537037 & 2.469522 & 1.837213 & 0.115825 \end{array}$

• A) Lawn Quality \(= 33.14815 + 4.537037 *\) Seed Density; 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 \(= 33.14815 + 4.537037 *\) Seed Density; The lawn quality of these plots increases about \(33.14815\) points for each 1 pound per 500 square foot increase in seed density.
• C) Seed Density \(= 33.14815 + 4.537037 ^ { * }\) Lawn Quality; 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 \(+ 4.537037\); The lawn quality of these plots increases about \(4.537037\) points for each 1 pound per 500 square foot increase in seed density.
• E) Lawn Quality \(= 33.14815 *\) Seed Density \(+ 4.537037\); 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:

Basic Law

A fundamental principle or rule that serves as the foundation for a system, typically referring to laws of nature or established scientific principles.

Unlike Poles

Refers to the north and south poles of magnets; when magnets have poles facing each other that are different, they attract.

Like Poles

Magnetic poles of the same kind (either both north or both south), which repel each other according to magnetic principles.

Electromagnet

A type of magnet where the magnetic field is produced by an electric current, typically through a wire wound into a coil around a magnetic core.