Which of the following is a correct interpretation of the confidence interval for the die height coefficient?
Which of the following is a correct interpretation of the confidence interval for the die height coefficient?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 2ECP
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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
Transcribed Image Text:PULL STRENGTH
Which of the following is a correct interpretation of the confidence interval
for the die height coefficient?
The average pull strength is expected to go up by one unit when die height is
between 0.006 and 0.019 units and wire length is equal to one unit.
The average pull strength is expected to go up by between 0.006 and 0.019 units
when die height increases by one unit and wire length is kept constant.
The average pull strength is expected to go up by one unit when die height
increases by between 0.006 and 0.019 units and wire length is equal to zero units.
The average pull strength is expected to go up by between 0.006 and 0.019 units
when die height is zero units and wire length is equal to one unit.
The average pull strength is expected to go up by one unit when die height
increases by between 0.006 and 0.019 units and wire length is kept constant.
O The average pull strength is expected to go up by between 0.006 and 0.019 units
when die height increases by one unit and wire length is equal to zero units.
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