what is the correct null hypothesis?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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what is the correct null hypothesis?

Use the information below to answer the PULL STRENGTH questions that follow.
Data from “Applied Statistics and Probability for Engineers", Fourth Edition, by Douglas C.
Montgomery & George C. Runger.
The Excel multiple regression output below is for predicting pull strength from wire
length and die height.
MULTIPLE REGRESSION EXCEL OUTPUT (PULL STRENGTH)
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.990523843
R Square
0.981137483
Adjusted R Square 0.979422709
Standard Error
2.288046833
Observations
25
ANOVA
df
S
MS
Significance F
Regression
5990.771221
2995.385611
572.1671503
1.07546E-19
Residual
22
115.1734828
5.235158308
Total
24
6105.944704
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
2.263791434
1.060066238 2.135518851
0.04409945
0.065348623 4.462234246
Wire Length
2.744269643 0.093523844 29.34299438
3.90691E-19
2.550313062
2.938226225
Die Height
0.012527811 0.002798419
4.476746229 0.000188266 0.006724246 0.018331377
© 2020 Radha Bose, Florida State University Department of Statistics
Transcribed Image Text:Use the information below to answer the PULL STRENGTH questions that follow. Data from “Applied Statistics and Probability for Engineers", Fourth Edition, by Douglas C. Montgomery & George C. Runger. The Excel multiple regression output below is for predicting pull strength from wire length and die height. MULTIPLE REGRESSION EXCEL OUTPUT (PULL STRENGTH) SUMMARY OUTPUT Regression Statistics Multiple R 0.990523843 R Square 0.981137483 Adjusted R Square 0.979422709 Standard Error 2.288046833 Observations 25 ANOVA df S MS Significance F Regression 5990.771221 2995.385611 572.1671503 1.07546E-19 Residual 22 115.1734828 5.235158308 Total 24 6105.944704 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 2.263791434 1.060066238 2.135518851 0.04409945 0.065348623 4.462234246 Wire Length 2.744269643 0.093523844 29.34299438 3.90691E-19 2.550313062 2.938226225 Die Height 0.012527811 0.002798419 4.476746229 0.000188266 0.006724246 0.018331377 © 2020 Radha Bose, Florida State University Department of Statistics
PULL STRENGTH
Choose the correct null hypothesis.
Ho :
O The model is not useful because all the coefficients are zero.
O The model is useful because all the coefficients are zero.
The model contains at least one useful predictor because at least one coefficient is zero.
The model contains at least one useful predictor because at least one coefficient is not
zero.
The model does not contain any useful predictors because at least one coefficient is not
zero.
The model is not useful because all the coefficients are one.
O The model is useful because all the coefficients are one.
The model does not contain any useful predictors because at least one coefficient is
zero.
Transcribed Image Text:PULL STRENGTH Choose the correct null hypothesis. Ho : O The model is not useful because all the coefficients are zero. O The model is useful because all the coefficients are zero. The model contains at least one useful predictor because at least one coefficient is zero. The model contains at least one useful predictor because at least one coefficient is not zero. The model does not contain any useful predictors because at least one coefficient is not zero. The model is not useful because all the coefficients are one. O The model is useful because all the coefficients are one. The model does not contain any useful predictors because at least one coefficient is zero.
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