Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 19, Problem 19P
In a fashion similar to Sec. 19.8.2, use MATLAB to fit the data from Prob. 19.15 using
(a) Linear interpolation,(b) A third order regression polynomial, and (c) A spline
Use each approach to predict oxygen concentration at
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Show that the following relationship on the simple linear regression class notebook is true:
(Refer the image)
The table lists the average monthly cost to workers for family health insurance for various years.
Year, x
Average Monthly Cost to Workers for
Family Health Insurance
$298
a) Use a graphing calculator to fit a regression line to the data.
b) Predict the average monthly cost to workers for family health insurance in 2020, and compare the value with $493.3, which is
obtained using the points (1,340) and (4,386).
c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.
2009, 0
2010, 1
2011, 2
340
348
2012, 3
367
2013, 4
2014, 5
386
406
a) The linear equation of the regression line that best models the data is y =x+.
(Round to the nearest hundredth as needed.)
b) The average monthly cost to workers for family health insurance in 2020 is predicted to be $
(Round to the nearest cent as needed.)
Compare the above obtained value with $493.3
This value is $
$493.3
c) The correlation coefficient is
(Round to the nearest thousandth as…
2. ATV Deaths. The number of deaths from all-terrain vehicles for selected years is given in the
table.
Number of
Deaths
Year
a) Create a scatterplot for the data. Graph the
scatterplot below.
b) Determine what type of model is appropriate for the
data.
1995
200
1997
241
1999
398
c) Use the appropriate regression on your calculator to
find a model and store it in Y1. Graph the
regression equation in the same coordinate plane
below.
517
636
2001
2003
2005
467
d) Estimate the years in which the number of ATV
deaths was or will be 300. Discuss the accuracy of
your estimates.
Chapter 19 Solutions
Numerical Methods for Engineers
Ch. 19 - The average values of a function can be determined...Ch. 19 - The solar radiation for Tucson, Arizona, has been...Ch. 19 - 19.3 The pH in a reactor varies sinusoidally over...Ch. 19 - 19.4 Use a continuous Fourier series to...Ch. 19 - 19.5 Use a continuous Fourier series to...Ch. 19 - Construct amplitude and phase line spectra for...Ch. 19 - 19.7 Construct amplitude and phase line spectra...Ch. 19 - 19.8 A half-wave rectifier can be characterized...Ch. 19 - 19.9 Construct amplitude and phase line spectra...Ch. 19 - Develop a user-friendly program for the DFT based...
Ch. 19 - 19.11 Use the program from Prob. 19.10 to compute...Ch. 19 - 19.12 Develop a user-friendly program for the FFT...Ch. 19 - 19.13 Repeat Prob. 19.11 using the software you...Ch. 19 - An object is suspended in a wind tunnel and the...Ch. 19 - 19.15 Use the Excel Data Analysis ToolPak to...Ch. 19 - Use the Excel Data Analysis Toolpack to fit a...Ch. 19 - (a) Use MATLAB to fit a cubic spline to the...Ch. 19 - 19.18 Use MATLAB to generate 64 points from the...Ch. 19 - In a fashion similar to Sec. 19.8.2, use MATLAB to...Ch. 19 - Runges function is written as f(x)=11+25x2...Ch. 19 - A dye is injected into the circulating blood...Ch. 19 - In electric circuits, it is common to see current...Ch. 19 - Develop a plot of the following data with (a)...
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