Consider the data from Exercise 11-13, on y = shear

Chapter 11, Problem 37E

(choose chapter or problem)

Consider the data from Exercise 11-13, on \(y=\text { shear strength of a propellant }\) and \(x=\text { propellant age }\).

Test for significance of regression with \(\alpha=0.01\). Find the P-value for this test.Estimate the standard errors of \(\hat{\beta_{0}}\)  and \(\hat{\beta_{1}}\).Test \(H_0\ :\ \beta_1=-30\) versus \(H_1\ :\ \beta_1\ne-30\) using \(\alpha=0.01\). What is the P-value for this test?Test \(H_0\ :\ \beta_0=0\) versus \(H_1\ :\ \beta_0\ne0\) using \(\alpha=0.01\). What is the P-value for this test?Test \(H_0\ :\ \beta_0=2500\) versus \(H_1\ :\ \beta_0>2500\) using \(\alpha=0.01\). What is the P-value for this test?

Equation Transcription:

Text Transcription:

y= shear strength of a propellant

x= propellant age

alpha=0.01

beta hat_0

beta hat_1

H_0:beta_1=-30

H_1:beta_1 not=-30

alpha=0.01

H_0:beta_0=0

H_1:beta_0not=0

alpha=0.01

H_0:beta_0=2500

H_1:beta_0>2500

alpha=0.01