Use the information below to answer the PULL STRENGTH questions thatfollow.Data from "Applied Statistics and Probability for Engineers", Fourth Edition, byDouglas C. Montgomery & George C. Runger.The Excel multiple regression output below is for predicting pull strengthfrom wire length and die height.MULTIPLE REGRESSION EXCEL OUTPUT (PULL STRENGTH)SUMMARY OUTPUTRegression StatisticsMultiple R0.990523843R Square0.981137483Adjusted R Square 0.979422709Standard Error2.288046833Observations25ANOVAdfSMSSignificance FRegression5990.7712212995.385611 572.16715031.07546E-19Residual22115.1734828 5.235158308Total246105.944704Coefficients Standard Errort StatP-valueLower 95%Upper 95%Intercept2.263791434 1.060066238 2.1355188510.044099450.0653486234.462234246Wire Length2.744269643 0.093523844 29.342994383.90691E-192.5503130622.938226225Die Height0.012527811 0.002798419 4.476746229 0.0001882660.006724246 0.018331377 PULL STRENGTHWhich of the following is a correct interpretation of the confidence intervalfor the wire length coefficient?The average pull strength is expected to go up by one unit when wire length isbetween 2.550 and 2.939 units and die height is equal to one unit.The average pull strength is expected to go up by between 2.550 and 2.939 unitswhen wire length increases by one unit and die height is kept constant.The average pull strength is expected to go up by one unit when wire lengthincreases by between 2.550 and 2.939 units and die height is kept constant.The average pull strength is expected to go up by one unit when wire lengthincreases by between 2.550 and 2.939 units and die height is equal to zero units.The average pull strength is expected to go up by between 2.550 and 2.939 unitswhen wire length increases by one unit and die height is equal to zero units.The average pull strength is expected to go up by between 2.550 and 2.939 unitswhen wire length is zero units and die height isto one unit.

From the output, the confidence interval for the independent variable Wire length is (2.550, 2.939).…

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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

PULL STRENGTH
Which of the following is a correct interpretation of the confidence interval
for the wire length coefficient?
The average pull strength is expected to go up by one unit when wire length is
between 2.550 and 2.939 units and die height is equal to one unit.
The average pull strength is expected to go up by between 2.550 and 2.939 units
when wire length increases by one unit and die height is kept constant.
The average pull strength is expected to go up by one unit when wire length
increases by between 2.550 and 2.939 units and die height is kept constant.
The average pull strength is expected to go up by one unit when wire length
increases by between 2.550 and 2.939 units and die height is equal to zero units.
The average pull strength is expected to go up by between 2.550 and 2.939 units
when wire length increases by one unit and die height is equal to zero units.
The average pull strength is expected to go up by between 2.550 and 2.939 units
when wire length is zero units and die height is
to one unit.

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