which of the following is a correct interpretation of the intercept?

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
icon
Related questions
Topic Video
Question

which of the following is a correct interpretation of the intercept?

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
Which of the following is a correct interpretation of the intercept?
The pull strength is expected to be zero units when wire length is 2.744 units and die
height is 0.013 units.
The pull strength is expected to increase by one unit when wire length increases by
2.744 units and die height increases by 0.013 units.
The pull strength is expected to be 2.264 units when both wire length and die height are
zero units.
The pull strength is expected to increase by 2.264 units when both wire length and die
height increase by one unit.
The pull strength is expected to be 2.264 units when both wire length and die height are
one unit.
The pull strength is expected to increase by 2.264 units when both wire length and die
height are kept constant.
Transcribed Image Text:PULL STRENGTH Which of the following is a correct interpretation of the intercept? The pull strength is expected to be zero units when wire length is 2.744 units and die height is 0.013 units. The pull strength is expected to increase by one unit when wire length increases by 2.744 units and die height increases by 0.013 units. The pull strength is expected to be 2.264 units when both wire length and die height are zero units. The pull strength is expected to increase by 2.264 units when both wire length and die height increase by one unit. The pull strength is expected to be 2.264 units when both wire length and die height are one unit. The pull strength is expected to increase by 2.264 units when both wire length and die height are kept constant.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL