Solved: Refer to Exercises 11.76 and 11.82. Does including

Chapter 11, Problem 83E

(choose chapter or problem)

Refer to Exercises 11.76 and 11.82. Does including the variables phosphate saturation \(x_{2}\) and pH \(x_{3}\) contribute to a significantly better fit of the model to the data? The reduced linear regression model, \(Y=\beta_{0}+\beta_{1} x_{1}+\varepsilon\) was fit and we observed \(S S E_{R}=5470.07\).

a Implement the appropriate test of hypothesis at the \(\alpha=.05\) level of significance.

b What is the smallest value of \(S S E_{R}\) that would have allowed you to conclude that at least one of the variables (phosphate saturation and/or pH) contributed to a better fit of the model to the data?

Equation transcription:

Text transcription:

X{2}

X{3}

Y=\beta{0}+\beta_{1} x{1}+\varepsilon

S S E{R}=5470.07

alpha=.05

S S E{R}