Which of the following is a correct interpretation of the confidence interval for the die height coefficient?

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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: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
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.
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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