The results that follow were obtained from an analysis of

Chapter 11, Problem 76E

(choose chapter or problem)

The results that follow were obtained from an analysis of data obtained in a study to assess the relationship between percent increase in yield (Y ) and base saturation (x1, pounds/acre), phosphate saturation \(\left(x_{2}, B E C \%\right)\), and soil pH \(\left(x_{3}\right)\). Fifteen responses were analyzed in the study. The least-squares equation and other useful information follow.

\(\bar{y}=38.83-0.0092 x_{1}-0.92 x_{2}+11.56 x_{3}\),                 Syy = 10965.46,         SSE = 1107.01,

a Is there sufficient evidence that, with all independent variables in the model, \(\beta_{2}<0\)? Test at the α = .05 level of significance.

b Give a 95% confidence interval for the mean percent increase in yield if \(x_{1}=914, x_{2}=65\) and \(x_{3}=6\).

Equation transcription:

Text transcription:

left(x{2}, B E C \%\)

left(x{3}\right)

bar{y}=38.83-0.0092 x{1}-0.92 x{2}+11.56 x_{3}

beta_{2}<0

x{1}=914, x{2}=65

x{3}=6