Homework10key

Homework10key - 1 Homework 10 (9 points) due Dec. 2 (2.5...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Homework 10 (9 points) due Dec. 2 (2.5 pts.) 11.12 (p.507) [Please use two different hypotheses tests.] Exercise 23 (Section 3.3) gave SAS output from a regression of attenuation on fracture strength. a) Does the simple linear regression model appear to specific a useful relationship between these two variables? State the relevant hypothesis and carry out a test using two different hypothesis test. using : 1. Let be the true mean slope of attenuation vs. fracture strength. 2. H : = 0 H a : 0 3. = 0.05 4. ? = ? ? ? = 0.014711 0.00143620 = 10.243 ( ? ? h ? ?? ? ? ) 5. SAS = 0.0001 df = 12, P = 2P(t > 10.243) < 0.002 (not required) 6. Reject H because 0.0001 0.05 7. This data does give strong support (P = 0.0001) to the claim that there is a linear relationship between attenuation and fracture strength. using : 1. Let be the true mean correlation coefficient of attenuation vs. fracture strength. 2. H : = 0 H a : 0 3. = 0.05 4. ? = ? 2 1 2 = ( 0.8974 ) 12 1 0.8974 = 10.243 ( ? ? h ? ?? ? ? ) 5. SAS = 0.0001 df = 12, P = 2P(t > 10.243) < 0.002 (not required) 6. Reject H because 0.0001 0.05 7. This data does give strong support (P = 0.0001) to the claim that there is a linear relationship between attenuation and fracture strength. 2 using F test 1. Let be the true mean slope of attenuation vs. fracture strength. 2. H : = 0 H a : 0 3. = 0.05 4. ? = ? = 2.29469 0.02187 = 104.917 ( ? ? h ? ) 5. SAS = 0.0001 df 1 = 1 df 2 = 12, P = P(F > 104) < P(F > 9.33) = 0.001 (not required) 6. Reject H because 0.0001 0.05 7. This data does give strong support (P = 0.0001) to the claim that there is a linear relationship between attenuation and fracture strength....
View Full Document

Page1 / 5

Homework10key - 1 Homework 10 (9 points) due Dec. 2 (2.5...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online