Consider the data from Exercise 11-12 on y = chloride

Chapter 11, Problem 38E

(choose chapter or problem)

Consider the data from Exercise 11-12 on \(y=\text { chloride concentration in surface streams }\) and \(x=\text { roadway area }\).

Test the hypothesis \(H_0\ :\ \beta_1=0\) versus \(H_1\ :\ \beta_1\ne0\) using the analysis of variance procedure with \(\alpha=0.01\).Find the P-value for the test in part (a).Estimate the standard errors of \(\hat{\beta_{1}}\) and \(\hat{\beta_{0}}\).Test \(H_0\ :\ \beta_1=0\) versus \(H_1\ :\ \beta_0\ne0\) using \(\alpha=0.01\). What con-clusions can you draw? Does it seem that the model might be a better fit to the data if the intercept were removed?

Equation Transcription:

Text Transcription:

y= chloride concentration in surface streams

x= roadway area

H_0:beta_1=beta_0

H_1:beta_1 not=0

alpha=0.01

beta hat_1

beta hat_0

H_0:beta_1=beta_0

H_1:beta_0not=beta_0

alpha=0.01

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