Numerical Methods For Engineers, 7 Ed
7th Edition
ISBN: 9789352602131
Author: Canale Chapra
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 17, Problem 20P
Use nonlinear regression to fit a parabola to the following data:
x | 0.2 | 0.5 | 0.8 | 1.2 | 1.7 | 2 | 2.3 |
y | 500 | 700 | 1000 | 1200 | 2200 | 2650 | 3750 |
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A linear regression will best fit these points:
(4.75, 0.50), (6.84, 0.90), (12.52, 1.50), (20.42, 3.00), (8.97, 1.00)
The equation of the line that will best fit the points is
Give answer in the form y = mx + b.
No spaces.
Round values to two decimal places.
That is, there must be two digits after the decimal point.
Do not write 0.12 as .12.
The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
The data in the following table indicate that between the ages of 1 and 11, the human brain does not grow linearly, or steadily. A scatter plot for the data is shown
below the table.
The graphing calculator screen to the right displays the percentage of an adult brain, y, for a child at age x, where 1 sxs11. Use this
information to complete parts (a) through (c) below.
LnReg
y = a+b ln x
a = 29.67892724
b= 29.78535801
E Click the icon to view the table.
W Click the icon to view the scatterplot.
a. Explain why a logarithmic function was used to model the data. Choose the correct answer below.
O A. The data increase rapidly and then continue to increase even more rapidly.
B. The data increase at a steady rate.
OC. The data increase rapidly and then begin to decrease.
D. The data increase rapidly and then begin to level off.
b. Use the graphing calculator screen to express the model in function notation, with numbers rounded to the nearest whole number.
f(x) =
(Type an expression using x…
Chapter 17 Solutions
Numerical Methods For Engineers, 7 Ed
Ch. 17 - Given these data 8.8 9.5 9.8 9.4 10.0 9.4 10.1 9.2...Ch. 17 - Given these data 29.65 28.55 28.65 30.15 29.35...Ch. 17 - 17.3 Use least-squares regression to fit a...Ch. 17 - 17.4 Use least-squares regression to fit a...Ch. 17 - 17.5 Using the same approach as was employed to...Ch. 17 - Use least-squares regression to fit a straight...Ch. 17 - Fit the following data with (a) A...Ch. 17 - Fit the following data with the power model...Ch. 17 - 17.9 Fit an exponential model...Ch. 17 - 17.10 Rather than using the base-e exponential...
Ch. 17 - 17.11 Beyond the examples in Fig. 17.10, there are...Ch. 17 - 17.12 An investigator has reported the data...Ch. 17 - An investigator has reported the data tabulated...Ch. 17 - 17.14 It is known that the data tabulated below...Ch. 17 - 17.15 The following data are...Ch. 17 - Given these data x 5 10 15 20 25 30 35 40 45 50 y...Ch. 17 - 17.17 Fit a cubic equation to the following...Ch. 17 - Use multiple linear regression to fit x1 0 1 1 2 2...Ch. 17 - Use multiple linear regression to fit x1 0 0 1 2 0...Ch. 17 - Use nonlinear regression to fit a parabola to the...Ch. 17 - 17.21 Use nonlinear regression to fit a...Ch. 17 - 17.22 Recompute the regression fits from Probs....Ch. 17 - Develop, debug, and test a program in either a...Ch. 17 - A material is tested for cyclic fatigue failure...Ch. 17 - The following data show the relationship between...Ch. 17 - 17.26 The data below represents the bacterial...Ch. 17 - The concentration of E. coli bacteria in a...Ch. 17 - 17.28 An object is suspended in a wind tunnel and...Ch. 17 - 17.29 Fit a power model to the data from Prob....Ch. 17 - Derive the least-squares fit of the following...Ch. 17 - 17.31 In Prob. 17.11 we used transformations to...
Additional Math Textbook Solutions
Find more solutions based on key concepts
Analytic Functions. Find fz=ux,y+ivx,y with u or v as given. Check by the Cauchy Reimann equations for analyti...
Advanced Engineering Mathematics
(a) Show that (x) = x2 is an explicit solution to xdydx = 2y on the interval (, ). (b) Show that (x) = ex x is...
Fundamentals of Differential Equations (9th Edition)
|4.2| = ?
Basic Technical Mathematics
Which of the equations in Exercises 1-6 are linear? x1+2x3=3
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
UW Student survey In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858...
Statistics: The Art and Science of Learning from Data (4th Edition)
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
- Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?arrow_forwardD. Graph the following regression lines. a. y = 0.3x + 2.5 b. y = -3.2x +6.7arrow_forwardSuppose you ran a quadratic trend forecasting model on some time series data for 18 months. The Excel Data Analysis regression output provided the following: Intercept: 45.140 Slope 1: -1.940 Slope 2: 0.195 What is the forecast value for time period 21? 4.4 90.395 43.395 8.495arrow_forward
- A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine after 5 years? Select one: O 7500 O 17500 12500 10000 15000arrow_forwardUse Excel to develop a regression model to predict Annual Food Spending by Annual Household Income for those living in the Metro area only. Suppose a household in the metro area has an annual income of $60,000. Predict how much they spend on food per year. Write your answer as a number and round to 2 decimal places. Annual Food Spending ($) Annual Household Income ($) Non mortgage household debt ($) Region: 1 = NE 2 = MW 3 = S 4 = W Location: 1 = Metro 2 = Outside Metro 8909 56697 23180 1 1 5684 35945 7052 1 1 10706 52687 16149 1 1 14112 74041 21839 1 1 13855 63182 18866 1 1 15619 79064 21899 1 1 2694 25981 8774 1 1 9127 57424 15766 1 1 13514 72045 27685 1 1 6314 38046 8545 1 1 7622 52408 28057 1 1 4322 41405 6998 1 1 3805 29684 4806 1 1 6674 49246 13592 1 1 7347 41491 4088 1 1 2911 26703 15876 1 1 8026 48753 16714 1 1 8567 55555 16783 1 1 10345 71483 21407 1 1 8694 50980 19114 1 1 8821 46403 7817 1 1…arrow_forwardA passenger jet passed through an altitude of 13,000 feet 8 minutes after takeoff and was climbing at a rate of 1,250 feet per minute. Find a linear model for the altitude A (in ft) of the jet t minutes after takeoff. A = Use your model to predict the altitude (in ft) of the jet 24 minutes into the flight. ftarrow_forward
- The graph below includes the results of a linear regression using this data. (For example, the client identified with the triangle in the graph has a BMI of 30.36 and has cost the insurance company $62,592 over the previous 5 years.) Insurance Charges ($$) 70000 60000 50000 40000 30000 20000 10000 0 18 23 Males Smokers, aged 40 to 64 28 BMI 33 y = 1487x - 9399.7 R² = 0.6501 38 43 Is the intercept practical in the context of this problem? Briefly explain why or why not.arrow_forward(a) Make a scatter diagram of the data. (b) Use the regression feature of a calculator to find the best-fitting linear function for the data. Graph the function with the data. (c) Repeat part (b) for a cubic function. (d) Estimate the minimum sight distance for a car traveling 68 mph using the functions from parts (b) and (c). (e) By comparing the graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.arrow_forwardThe capacities at which U.S. nuclear power plants are working are shown in table for various years. Year Percent 1975 56 1980 59 1985 58 1990 70 1995 76 2000 88 2004 89 Let f(t) be the capacity (in percent) at which U.S. nuclear power plants are working at t years since 1970. Use Quadratic regression on your calculator to find a quadratic function that models this data. Round each coefficient to at least 3 decimal places. BE SURE TO USE t = 0 to represent the year 1970. Then t = 1 would be 1971, and so on: Equation f(t) = Use your graphing calculator to draw the graph of the model and, in the same viewing window, the scattergram of the data. Does the model fit the data well? The function is a good model for the data. The function is not a good model for the data Estimate at what capacity U. S. nuclear power plants were working in 2013. % Round to the nearest whole percent. Predict when U. S. nuclear power plants will be working at full (100%) capacity. Enter the year this occurs.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
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