EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 6, Problem 18P

The Pythagorean theorem states that a2+ b2= c2. Write a MATLAB program in a script tile that finds all the combinations of triples a, b, and c that are positive integers all smaller or equal to 50 that satisfy the Pythagorean theorem. Display the results in a three-column table in which every row corresponds to one triple. The first three rows of the table are:

3 4 5

5 12 13

6 8 10

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Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.
The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85. (a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05. (b) Construct a 95% two-sided confidence interval on μ. (c) Test the hypothesis that σ² = 11 using α = 0.05. (d) Construct a 95% two-sided confidence interval on σ. (e) Construct a 95% upper confidence interval on σ. (f) Does the assumption of normality seem reasonable for the output voltage?
Analyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on the adequacy of the regression model.

Chapter 6 Solutions

EBK MATLAB: AN INTRODUCTION WITH APPLIC

Ch. 6 - The Pascal triangle can be displayed as elements...Ch. 6 - Fibonacci numbers are the numbers in a sequence in...Ch. 6 - The reciprocal Fibonacci constant ?is defined by...Ch. 6 - The value of p can be estimated from:...Ch. 6 - The value of p can be estimated from the...Ch. 6 - Write a program that (a) generates a vector with...Ch. 6 - A vector is given by x= [9 -1.5 13.4 13.3 -2.1 4.6...Ch. 6 - The Pythagorean theorem states that a2+ b2= c2....Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - A safe prime is a prime number that can be written...Ch. 6 - Sexy primes are two prime numbers that the...Ch. 6 - A Mersenne prime is a prime number that is equal...Ch. 6 - A perfect number is a positive integer that is...Ch. 6 - A list of exam scores (S) (in percent out of 100%...Ch. 6 - The Taylor series expansion for axis:...Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - The following are formulas for calculating the...Ch. 6 - Body mass index (BMI) is a measure of obesity. In...Ch. 6 - Write a program in a script file that calculates...Ch. 6 - Write a program that determines the change given...Ch. 6 - The concentration of a drug in the body CPcan be...Ch. 6 - One numerical method for calculating the cubic...Ch. 6 - Write a program in a script file that converts a...Ch. 6 - In a one-dimensional random walk, the position x...Ch. 6 - The Sierpinski triangle can be implemented in...Ch. 6 - The roots of a cubic equation a3x3+a2x2+a1x+a0=0...Ch. 6 - The overall grade in a course is determined from...Ch. 6 - A Keith number is a number (integer) that appears...Ch. 6 - The following MATLAB commands create a sine-shaped...
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