A Grass Seed Company Conducts a Study to Determine the Relationship

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 and summary statistics are given below.Determine a 99% confidence interval for the average lawn quality of a lawn sown with a seed density of 2.1. $$\begin{array} { l c l l c } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } & \text { Range } \\\text { Seed Density } & 8 & 2.75 & 0.49099 & 4 \\\text { Lawn Quality } & 8 & 45.625 & 3.71261 & 35\end{array}$$ 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) 8.5 to 76.8
B) 6.5 to 78.8
C) 30.4 to 73.4
D) 33.5 to 51.8
E) 29.4 to 56.0