EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 20, Problem 39P
The following data was taken from an experiment that measured the current in a wire for various imposed voltages:
| V, V | 2 | 3 | 4 | 5 | 7 | 10 |
| i, A | 5.2 | 7.8 | 10.7 | 13 | 19.3 | 27.5 |
(a) On the basis of a linear regression of these data, determine current for a voltage of 3.5 V. Plot the line and the data and evaluate the fit.
(b) Redo the regression and force the intercept to be zero.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
As an industrial engineer, you intend to use linear trend (or linear regression) method to solve a forecasting problem. You have decided to use the equation of y = m(x) + c to establish the relationship between the sales (y) and the related month (x). It is known that 8 consecutive months data (Jan to Aug) were used and they resulted to the following parameter values of m = 320 and c = 1017. Using the regression technique, estimate the percentage of sales improvement from December this year to June next year.
An engineer measures the diameter of 20 tubes selected at random from a large shipment. The
sample mean is 48.5 mm and
S- 9.4 mm. The manufacturer of the tubes claims that 2 = 42.1 mm. Is this claim supported by
data set? for 90% probability?
where a' is the true or the estimate value
O No
O yes
The following data have the form of exponential function y = a*Exp(x), where Exp(x) denotes the
exponential operation of x.
Find the nearest regression equation. In the answer, 1.00e0.5x represents 1.00*e^0.5x =
1.00*Exp(0.5x)
Y: 0.4, 1, 4, 36
X: 0.2, 2, 4, 8
y = 1.00e0.06x
All solutions are not correct
O y = 0.35e0.58x
O y = 1.35e1.5x
Chapter 20 Solutions
EBK 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, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The following table presents the highway gasoline mileage performance and engine displacement for Audi vehicles for model year 2005. a) (5 Pts.) Fit simple linear model. Test for significance of the regression using alpha=0.05. Find the p-value for this test. What conclusions you can reach? b) (5 Pts.) Test Ho: P₁= -0.05 versus H₁: ₁arrow_forwardForest Fires and Acres Burned Numbers (in thousands) of forest fires over the year and the number (in hundred thousands) of acres burned for 6 recent years are shown. The regression line equation is y'=-18.779+0.761x. The standard error of the estimate is sest 9.55. Find the 80% interval when x=60. Round intermediate answers to three decimal places. Round your final answers to two decimal places as needed. Number of fires x 58 47 84 62 57 45 Number of acres burned y 19 26 51 15 30 15 Send data to Excel One can be 80% confident that the intervalarrow_forward4. It is determined that an experimental data taken for T as a function of time, is a first order system, following the trend line of y = yoe. The data taken for various times is shown in table below. Approximate the time constant for this experiment. Show your work. T 0.00 0.50 3.00 5.00 5.50 6.00 6.50 7.00 7.50 11.00 14.00 17.00 22.00 25.00 Y 23.00 22.43 20.13 18.81 18.54 18.29 18.05 17.84 17.63 16.57 16.01 15.64 15.31 15.20arrow_forwardThe 7-distribution is used to estimate a population mean for large samples if the population standard deviation is known. "Large" is usually defined as at least 5% of the population size B. at least 142 at least 10 at least 30arrow_forward3. A strip of chicken skin was excised for mechanical testing in tension. The initial dimension of the rectangular specimen was 30 mm long and 15 mm wide, with average thickness of 3 mm. The mechanical testing was conducted at a rate of 5 mm/sec. The following data were obtained: gauge length, mm 20 22 24.2 26.3 27.9 30.1 force, N 0 0.8 2.7 7.9 12.9 19.6 a. Calculate the engineering stresses and strain from the information given and plot the stress-strain curve. Assume that 5 mm of the specimen length is clamped by the testing grip at each end, such that the initial gauge length of the specimen is 20 mm.arrow_forward. 2) A following figure and table display creep test data obtained from a uniaxial specimen having an initial gauge length of 2 cm. Calculate the steady-state creep rate. Length |(cm) 2.3 Time | (h) 2.25 2.004 2.2 100 2.010 200 2.020 400 2.030 1000 2000 2.045 2.075 2.1 2.05 4000 2.135 6000 2.193 7000 2.230 1.95 8000 2.300 1000 2000 3000 4000 5000 6000 7000 8000 Time (h) (rupture) | Length between the gauge marks (cm) 2.arrow_forwardInterpret the following results in a correlation analysis:a. r = 0.27, n =100b. r=0.27,n=16c. r=-0.75,n=16d. r = 0.02, n =100arrow_forwardQ2: File Upload الزامي ABET äbäi 15 solve the question on a piece of [Q2] paper and upload it as ONE FILE here .{as an image or PDF only} Question 2 Use the least square regression to fit the data in the following table to the equation yfit = ae*. 1.5 2 y 1.6 3.7 7 13.5 24.6 1 2.5 (A) Determine the values of a and 3. (B) What is the standard error of this estimation? (C) Using the fit equation, what the value of y at r = 2.25? إضافة ملفarrow_forwardTable Error function (erf) values erf (z) erf (2 erf (z) 0.55 0.5033 13 0.9340 0.025 0.0282 O 60 0.6039 14 0.9523 0.05 0.0564 0.05 0 6420 15 0.9001 0.10 0.1125 0.70 0 6778 0.9703 16 0.15 0.1080 0.75 0.7112 1.7 0.9838 0 20 0.2227 080 07421 18 0.0091 025 0 2703 0.85 0.7707 1.9 0.0028 0.30 0.3290 0.90 0.7969 20 0.9953 0.35 03704 0.95 0.8200 22 0.9981 040 0.4284 O 8427 O 8802 1.0 24 0.9903 0.45 0.4755 11 2.6 0.0098 0 50 0.5205 12 0.9103 28 0 9990 A 1010 steel is to be carburized using a gas atmosphere that produces 1.0% Cat the surface of the steel. The case depth is defined as the distance below the surface that contains at least 0.5% Č. If carburizing is done at 1000 C, determine the time required to produce a case depth of 0 234 mm. For the diffusion of Garbon in FCC iron Q - 137.7 kJ/mol and Do = 0.23 x 10 m²/s. The gas constant is R- 8.314 J/(mol - K). Assume that the diffusion coefficient D remains constant and the concentrations of the diffusing atoms at the surface (c.) and at…arrow_forwardWLEY 6-44. The data that follow are DC output from a windmill (y) and wind velocity (x). (a) Draw a scatter diagram of these data. What type of rela- tionship seems appropriate in relating y to x? (b) Fit a simple linear regression model to these data. (c) Test for significance of regression using a = 0.05. What conclusions can you draw? (d) Plot the residuals from the simple linear regression model versus y, and versus wind velocity x. What do you con- clude about model adequacy? (e) Based on the analysis, propose another model relating y to.x. Justify why this model seems reasonable. (f) Fit the regression model you have proposed in part (e). Test for significance of regression (use a = 0.05), and graphically analyze the residuals from this model. What can you conclude about model adequacy? Observation Number 1 NM & in eor 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Wind Velocity (MPH), x 5.00 6.00 3.40 2.70 10.00 9.70 9.55 3.05 8.15 6.20 2.90 6.35 4.60 5.80 7.40…arrow_forwardA small sample (N = 7) of the static coefficient of friction (µ) between two materials is measured with the following data set: 0.0043 0.0050 0.0053 0.0047 0.0031 0.0051 0.0049 Test the data for outliers. Determine the mean value and its confidence.arrow_forward6. A computer software package calculated some numerical summaries of a sample of data. The results are displayed here: Variable N Mean SE Mean StDev Variance 20 50.184 ? 1.816 ? (a) Fill in the missing quantities. (b) What is the estimate of the mean of the population from which this sample was drawn?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY