A Grass Seed Company Conducts a Study to Determine the Relationship

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.A 95% confidence interval for the slope of the regression line was determined to be (-1.51,10.58) .Give an interpretation of this interval. 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) Based on this regression,each additional pound of seed per 500 square feet the average lawn quality will decrease by up to 1.51 or increase by up to 10.58 points,with 95% confidence.
B) We are 95% confident that a randomly selected plot will have a lawn quality between -1.51 and 10.58 points.
C) We are 95% confident that each additional point on the lawn quality scale will increase the average seed density by -1.51 to 10.58 pounds per 500 square feet.
D) Based on this regression,we are 95% confidence that the average lawn quality is between -1.51 and 10.58 points.
E) We are 95% confident that the average lawn quality will decrease by up to 1.51 or increase by up to 10.58 points per year.