Explanation Multiple regression model Software procedure: Open the â€œ PackagingFoam3 â€� workbook. Select Stat > Regression > Regression > Fit regression model . Double click on column C3 to add â€œF oam density â€� column to Reponses box. Double click on column C1 and C2 to add â€œ Die temperature â€� and â€œ Die diameter â€� to Continuous predictors box. Click Graphs . In the regression: Graphs dialog box, select the regular from residuals for plots pull-down list. Click on Graph s and check the Normal probability plot Under the Residuals versus the variables, select all the three variables . Click OK in each dialogue box. The Minitab output shows that the multiple regression equation is, Foam density = 18.3 +0 .598×Die temperature-13 .51×Die diameter . The obtained residual plots are: The residual analysis shows that there is a possible violation of linearity and homogeneity assumptions. Testing the significance of overall model Step 1: The null and alternative hypotheses are given below: H 0 : There is no significant relationship between the foam density and two independent variables . H 1 : There is a significant relationship between the tfoam density and two i n dependent variables . Step 2: The level of significance is 5 % . Step 3: The Minitab output obtained above shows that the test statistic for regression is F S T A T = 5.07 and p − value is 0.016. Step 4: Decision based on the p − value : If p − value < 0.05 , reject H 0 . Otherwise do not reject H 0 . Since the p − value is less than 0.05, reject H 0

14th Edition

ISBN: 9780135989005

Author: BERENSON

Publisher: PEARSON CO

See similar textbooks

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 p…

Videos

Question

Chapter 14, Problem 82PS

To determine

Find the appropriate multiple regression model and test whether all three independent variables should be included in the model.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 14, Problem 81PS

Chapter 14, Problem 83PS

Students have asked these similar questions

Q.2.4 There are twelve (12) teams participating in a pub quiz. What is the probability of correctly predicting the top three teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.

The table below indicates the number of years of experience of a sample of employees who work on a particular production line and the corresponding number of units of a good that each employee produced last month. Years of Experience (x) Number of Goods (y) 11 63 5 57 1 48 4 54 5 45 3 51 Q.1.1 By completing the table below and then applying the relevant formulae, determine the line of best fit for this bivariate data set. Do NOT change the units for the variables. X y X2 xy Ex= Ey= EX2 EXY= Q.1.2 Estimate the number of units of the good that would have been produced last month by an employee with 8 years of experience. Q.1.3 Using your calculator, determine the coefficient of correlation for the data set. Interpret your answer. Q.1.4 Compute the coefficient of determination for the data set. Interpret your answer.

Can you answer this question for me

Chapter 14 Solutions

EP BASIC BUS.STATS-ACCESS (18 WEEKS)

Ch. 14 - For this problem, use the following multiple...Ch. 14 - For this problem, use the following multiple...Ch. 14 - A nonprofit analyst seeks to determine which...Ch. 14 - Profitability remains a challenge for banks and...Ch. 14 - The production of wine is a multibillion-dollar...Ch. 14 - Human resource managers face the business problem...Ch. 14 - Prob. 7PS Ch. 14 - Prob. 8PS Ch. 14 - The following ANOVA summary table is for a...Ch. 14 - The following ANOVA summary table is for a...

Knowledge Booster

$Statistics$

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.

Find the appropriate multiple regression model and test whether all three independent variables should be included in the model.

Solution Summary: The author explains how to find the appropriate multiple regression model and test whether all three independent variables should be included in the model.

Concept explainers

Videos

Find the appropriate multiple regression model and test whether all three independent variables should be included in the model.

Want to see the full answer?

Chapter 14 Solutions