A Grass Seed Company Conducts a Study to Determine the Relationship

question 17

Essay

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.Using a 10% level of significance,is there evidence of an association between seed density and lawn quality?
Dependent variable is: Lawn Quality
R-squared = 36.0%
s = 9.073602 with 8 - 2 = 6 degrees of freedom $$\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { SE(Coeff) } & \text { t-ratio } & \text { P-value } \\\text { Constant } & 33.14815 & 7.510757 & 4.413423 & 0.004503 \\\text { Seed Density } & 4.537037 & 2.469522 & 1.837213 & 0.115825\end{array}$$

---

Definitions:

Withholding Allowances

A number that employees claim on a W-4 form that determines the amount of money withheld from their paycheck for taxes.

Federal Income Tax

The tax levied by the U.S. federal government on the annual earnings of individuals, corporations, trusts, and other legal entities.

Semimonthly

Occurring twice a month or every half month, often used in the context of payroll or billing periods.

FICA Tax

Federal Insurance Contributions Act tax, which funds Social Security and Medicare, jointly paid by employees and employers.