Explanation Given info: The data shows the noise level at which a person could accept or couldn’t accept. Calculation: H 0 : β 1 = 0 That is, noise level is not significant to differentiate the person’s perception towards the acceptance of the sound. H a : β 1 ≠ 0 That is, age is significant to differentiate the person’s perception towards the acceptance of the sound. Test statistic: z = β 1 ^ S E ( β 1 ^ ) From the MINITAB output, it can be observed that the test statistic z is –4.58 and its corresponding P -value is 0.000. Conclusion: The P -value corresponding to noise level is 0.000 and the level of significance is 0.01. The P -value is lesser than the level of significance. That is, ( 0.000 < 0.01 ) Thus the null hypothesis is rejected. Hence, there is support of evidence to conclude that noise level is significant to determine the person’s perception towards the acceptance of the sound. Also, if the noise level is increased by 1 unit the likelihood of a person’s perception towards the acceptance of the sound decreases because the estimated coefficient of noise level is –0.359441. The odds ratio of 0.70 tells that when the noise level increases by 1 unit the odds in favor of person’s perception towards the acceptance of the sound decreases by 0.70. Calculation of estimated probability: The estimated probability is obtained by using the formula: π ^ = e β o + β 1 x 1 + e β o + β 1 x Where, β o = 23.2124 β 1 = − 0.359441 π 1 ^ = e β o + β 1 x 1 1 + e β o + β 1 x 1 = e ( 23.2124 − 0.359441 ( 55.3 ) ) 1 + e ( 23.2124 − 0.359441 ( 55.3 ) ) = 28.08716 29.08716 = 0.9656 Similarly the remaining probabilities are obtained as follows: Noise level x e β o + β 1 x 1 + e β o + β 1 x π ^ 55.3 28.08716 29.08716 0.965621 55.3 28.08716 29.08716 0.965621 55.3 28.08716 29.08716 0.965621 55.9 22.63841 23.63841 0.957696 55.9 22.63841 23.63841 0

PROBABILITY & STATS FOR ENGINEERING &SCI

9th Edition

ISBN: 9781285099804

Author: DEVORE

Publisher: CENGAGE L

See similar textbooks

Videos

Question

Chapter 13.2, Problem 25E

To determine

Interpret the coefficients obtained from MINITAB logistic regression output.

Sketch the graph for the estimated probability as a function of noise level.

Expert Solution & Answer

Chapter 13 Solutions

PROBABILITY & STATS FOR ENGINEERING &SCI

Ch. 13.1 - Suppose the variables x = commuting distance and y...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - As the air temperature drops, river water becomes...Ch. 13.1 - The accompanying scatterplot is based on data...Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Consider the following four (x, y) data sets; the...Ch. 13.1 - a. Show that i=1nei=0 when the eis are the...

Ch. 13.1 - Prob. 11E Ch. 13.1 - Prob. 12E Ch. 13.1 - Prob. 13E Ch. 13.1 - If there is at least one x value at which more...Ch. 13.2 - No tortilla chip aficionado likes soggy chips, so...Ch. 13.2 - Polyester fiber ropes are increasingly being used...Ch. 13.2 - The following data on mass rate of burning x and...Ch. 13.2 - Failures in aircraft gas turbine engines due to...Ch. 13.2 - Prob. 19E Ch. 13.2 - Prob. 20E Ch. 13.2 - Mineral mining is one of the most important...Ch. 13.2 - Prob. 22E Ch. 13.2 - Prob. 23E Ch. 13.2 - Kyphosis refers to severe forward flexion of the...Ch. 13.2 - Prob. 25E Ch. 13.3 - The following data on y 5 glucose concentration...Ch. 13.3 - The viscosity (y) of an oil was measured by a cone...Ch. 13.3 - Prob. 29E Ch. 13.3 - The accompanying data was extracted from the...Ch. 13.3 - The accompanying data on y 5 energy output (W) and...Ch. 13.3 - Prob. 32E Ch. 13.3 - Prob. 33E Ch. 13.3 - The following data resulted from an experiment to...Ch. 13.3 - The article The Respiration in Air and in Water of...Ch. 13.4 - Cardiorespiratory fitness is widely recognized as...Ch. 13.4 - A trucking company considered a multiple...Ch. 13.4 - Let y = wear life of a bearing, x1 = oil...Ch. 13.4 - Let y = sales at a fast-food outlet (1000s of ),...Ch. 13.4 - The article cited in Exercise 49 of Chapter 7 gave...Ch. 13.4 - The article A Study of Factors Affecting the Human...Ch. 13.4 - An investigation of a die-casting process resulted...Ch. 13.4 - Prob. 43E Ch. 13.4 - The accompanying Minitab regression output is...Ch. 13.4 - The article Analysis of the Modeling Methodologies...Ch. 13.4 - A regression analysis carried out to relate y =...Ch. 13.4 - Efficient design of certain types of municipal...Ch. 13.4 - An experiment to investigate the effects of a new...Ch. 13.4 - Prob. 49E Ch. 13.4 - Prob. 50E Ch. 13.4 - The article Optimization of Surface Roughness in...Ch. 13.4 - Utilization of sucrose as a carbon source for the...Ch. 13.4 - Prob. 53E Ch. 13.4 - Prob. 54E Ch. 13.5 - The article The Influence of Honing Process...Ch. 13.5 - Prob. 56E Ch. 13.5 - In the accompanying table, we give the smallest...Ch. 13.5 - Prob. 58E Ch. 13.5 - Prob. 59E Ch. 13.5 - Pillar stability is a most important factor to...Ch. 13.5 - Prob. 61E Ch. 13.5 - Prob. 62E Ch. 13.5 - Prob. 63E Ch. 13.5 - Prob. 64E Ch. 13 - Curing concrete is known to be vulnerable to shock...Ch. 13 - Prob. 66SE Ch. 13 - The article Validation of the Rockport Fitness...Ch. 13 - Feature recognition from surface models of...Ch. 13 - Air pressure (psi) and temperature (F) were...Ch. 13 - An aeronautical engineering student carried out an...Ch. 13 - An ammonia bath is the one most widely used for...Ch. 13 - The article An Experimental Study of Resistance...Ch. 13 - The accompanying data on x = frequency (MHz) and y...Ch. 13 - Prob. 74SE Ch. 13 - Prob. 75SE Ch. 13 - The article Chemithermomechanical Pulp from Mixed...Ch. 13 - Prob. 77SE Ch. 13 - Prob. 78SE Ch. 13 - Prob. 79SE Ch. 13 - Prob. 80SE Ch. 13 - Prob. 81SE Ch. 13 - Prob. 82SE Ch. 13 - Prob. 83SE

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.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897...

Algebra

ISBN:9780079039897

Author:Carter

Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...

Algebra

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:Houghton Mifflin Harcourt

SEE MORE TEXTBOOKS

Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY

Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License

Interpret the coefficients obtained from MINITAB logistic regression output. Sketch the graph for the estimated probability as a function of noise level.

Solution Summary: The author analyzes the coefficients obtained from the MINITAB logistic regression output. If the noise level is increased by 1 unit, the likelihood of a person's perception towards the acceptance of the sound decreases.

Videos

Interpret the coefficients obtained from MINITAB logistic regression output. Sketch the graph for the estimated probability as a function of noise level.

Chapter 13 Solutions

Interpret the coefficients obtained from MINITAB logistic regression output.

Sketch the graph for the estimated probability as a function of noise level.