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

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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.
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