Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 52P
An experiment is performed to define the relationship between applied stress and the time to fracture for a type of stainless steel. Eight different values of stress are applied, and the resulting data are
Applied stress x,
|
5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 |
Fracture time y, hr | 40 | 30 | 25 | 40 | 18 | 20 | 22 | 15 |
Plot these data and then develop a best-fit equation to predict the fracture time for an applied stress of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
aylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being released. In order to estimate this, she takes a sample of 150 of her fans and asks them if they listened to the song in this time period. Of the 150 fans, 135 of them (90%) responded that they did listen to the song during this time period. What is the parameter and what is its value?
a.
The parameter is the proportion of the 150 sampled Taylor Swift fans who listened to ME! within the first hour after it released, which is 135.
b.
The parameter is the group of Taylor Swift fans who were surveyed, which is 150.
c.
The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is unknown.
d.
The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is 0.9.
e.
The parameter is the…
A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of
the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below.
DATA:
Observation
1
2
3
4
5
6
7
8
9
10
11
12
pH above 7 (X)
0.65
0.50
0.93
0.86
1.02
0.94
1.16
1.24
1.30
1.45
1.85
1.89
Units of BCI (Y)
14.5
22.9
15.8
38.3
18.9
20.0
21.4
23.8
23.6
25.2
27.3
29.4
Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators.
1,865
1,706
1,698
1,619
1,609
1,779
1,570
1,693
1,581
1,668
1,898
1,755
1,729
1,698
1,704
1,780
1,883
1,771
1,799
1,867
1,812
1,713
1,754
1,793
1,823
1,791
1,668
1,815
1,677
1,707
Construct a 90% confidence interval for the population mean force.
___ ≤μ≤ ___
Chapter 20 Solutions
Numerical Methods for Engineers
Ch. 20 - 20.1 Perform the same computation as in Sec. 20.1,...Ch. 20 - You perform experiments and determine the...Ch. 20 - 20.3 It is known that the tensile strength of a...Ch. 20 - Prob. 4PCh. 20 - 20.5 The specific volume of a superheated steam is...Ch. 20 - Prob. 6PCh. 20 - In Alzheimers disease, the number of neurons in...Ch. 20 - 20.8 The following data were taken from a stirred...Ch. 20 - Prob. 9PCh. 20 - Concentration data were taken at 15 time points...
Ch. 20 - Prob. 11PCh. 20 - The molecular weight of a polymer can be...Ch. 20 - 20.13 On average, the surface area A of human...Ch. 20 - 20.14 Determine an equation to predict metabolism...Ch. 20 - 20.15 Human blood behaves as a Newtonian fluid...Ch. 20 - 20.16 Soft tissue follows an exponential...Ch. 20 - 20.17 The thickness of the retina changes during...Ch. 20 - 20.18 The data tabulated below were generated from...Ch. 20 - The shear stresses, in kilopascals (kPa), of nine...Ch. 20 - 20.20 A transportation engineering study was...Ch. 20 - The saturation concentration of dissolved oxygen...Ch. 20 - For the data in Table P20.21, use polynomial...Ch. 20 - 20.23 Use multiple linear regression to derive a...Ch. 20 - 20.24 As compared to the models from Probs. 20.22...Ch. 20 - 20.25 In water-resources engineering, the sizing...Ch. 20 - 20.26 The concentration of total phosphorus and...Ch. 20 - 20.27 The vertical stress under the corner of a...Ch. 20 - Three disease-carrying organisms decay...Ch. 20 - 20.29 The mast of a sailboat has a cross-sectional...Ch. 20 - 20.30 Enzymatic reactions are used extensively to...Ch. 20 - 20.31 Environmental engineers dealing with the...Ch. 20 - An environmental engineer has reported the data...Ch. 20 - The following model is frequently used in...Ch. 20 - 20.34 As a member of Engineers Without Borders,...Ch. 20 - 20.35 Perform the same computations as in Sec....Ch. 20 - 20.36 You measure the voltage drop V across a...Ch. 20 - Duplicate the computation for Prob. 20.36, but use...Ch. 20 - The current in a wire is measured with great...Ch. 20 - 20.39 The following data was taken from an...Ch. 20 - It is known that the voltage drop across an...Ch. 20 - Ohms law states that the voltage drop V across an...Ch. 20 - 20.42 Repeat Prob. 20.41 but determine the...Ch. 20 - 20.43 An experiment is performed to determine the...Ch. 20 - Bessel functions often arise in advanced...Ch. 20 - 20.45 The population of a small community on the...Ch. 20 - Based on Table 20.4, use linear and quadratic...Ch. 20 - 20.47 Reproduce Sec. 20.4, but develop an equation...Ch. 20 - 20.48 Dynamic viscosity of water is related to...Ch. 20 - 20.49 Hooke’s law, which holds when a spring is...Ch. 20 - 20.50 Repeat Prob. 20.49 but fit a power curve to...Ch. 20 - The distance required to stop an automobile...Ch. 20 - An experiment is performed to define the...Ch. 20 - The acceleration due to gravity at an altitude y...Ch. 20 - The creep rate is the time rate at which strain...Ch. 20 - 20.55 It is a common practice when examining a...Ch. 20 - The relationship between stress and the shear...Ch. 20 - The velocity u of air flowing past a flat surface...Ch. 20 - 20.58 Andrade’s equation has been proposed as a...Ch. 20 - Develop equations to fit the ideal specific heats...Ch. 20 - 20.60 Temperatures are measured at various points...Ch. 20 - 20.61 The data below were obtained from a creep...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
- A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.75 0.89 0.94 1.12 1.16 1.29 1.35 1.48 1.56 1.73 1.80 Units of BCI (Y) 16.0 18.9 15.6 21.1 23.6 24.9 26.1 29.2 19.3 30.7 33.7 29.4 Find the coefficient of determination between pH and BCI (round to the nearest hundredth; place your answer in the box below)arrow_forwardA manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators. Complete parts (a) through (c) below. Click the icon to view the data. a. Construct a 95% confidence interval for the population mean force. ο sus Π (Round to the nearest integer as needed.)arrow_forwardA manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators. a. Construct a 99% confidence interval for the population mean force.arrow_forward
- c) The relationship between stress (o), force (F) and area (A) acting on an object is given as F A Find the maximum percentage error in calculating stress, if the max- imum percentage error in calculating force and area are 2% and 1% respectively.arrow_forwardThe following data given are the (X) price changed per piece of plywood, and the (Y) quantity sold (in thousands): Price per piece (X) Thousands of pieces sold (Y) 6 80 7 60 8 70 9 40 10 0 COV(X,Y) = -45 r = - 0.8895 x̄=8 ȳ=50 Compute and interpret b1. Compute b0 What quantity of plywood should we expect to sell if the price is $7 per piece?arrow_forwardWater is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)arrow_forward
- An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses mass as a function of the volume. grams Volume in ml 15 289.8 17.5 331.3 nces 20 386.4 22.5 426 ations 487.8 25 27.5 520.7 Drive 30 591.2 365 A) Write the linear regression equation for the data in the chart. t Course tions Volume = where x is the grams of the unknown metal. Round your answers to 3 decimal places B) If the mass of an unknown metal is 13, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. Question Help: O Message instructor Submit Question Type here to search B Narrow_forwardWhen t calculation = 5,22 and Sb1 = 0,23 what is the value of b1, the estimate of the ß1 parameter?arrow_forwardi. Calculate the regression model to fit the data. ii. Predict the life time of the device for the temperature of 55oC.arrow_forward
- c) The relationship between stress (o), force (F) and area (A) acting on an object is given as F O = A UNIVERSITI TEKNOLOGI MALAYSIA Find the maximum percentage error in calculating stress, if the max- imum percentage error in calculating force and area are 2% and 1% respectively.arrow_forwardAn unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses mass as a function of the volume. grams1819.52122.52425.527Volume in ml202.1225.6240.5252.6269.4292.1312.3 A) Write the linear regression equation for the data in the chart. Volume = x=where x is the grams of the unknown metal. Round your answers to 3 decimal places b. B) If the mass of an unknown metal is 16, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. mLarrow_forwardThe table below shows the height of a plant, in inches, over 5 weeks. Week (x) Height (y) 1 6. 4 8 11 Which is an approximate equation of the line of best fit for the data? ову-2.2х O A. y 2.5x - 0.4 O D. y = 2.25x - 0.8 ос.у %3D2х - 0.5 IOI 4+ 144 ho #3 %24 & 4. 5 080 6. R T. Y Uarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY