EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 7, Problem 5P
Tables of material properties list density, in units of kg/m3, when the international system of units (SI) is used, and list specific weight, in units of lb/in.3, when the U.S. customary system of units is used. Write a user-defined MATLAB
(a) Determine the specific weight of copper whose density is 8960 kg/m3.
(b) Determine the specific weight of concrete whose density is 2,340 kg/m3.
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3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
4. Linear Regression - Model Assumptions and Interpretation
A real estate analyst is studying how house prices (Y) are related to house size in square feet (X). A simple
linear regression model is proposed:
The analyst fits the model and obtains:
•
Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
Questions:
a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
c) Based on the residual pattern, what regression assumption is likely violated? What might be the
consequence?
d) Suggest at least two remedies to improve the model, based on the residual analysis.
Chapter 7 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - In the U.S. fuel efficiency of cars is specified...Ch. 7 - Pressure in U.S. customary units is measured in...Ch. 7 - Tables of material properties list density, in...Ch. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - The body surface area (BSA) in m2 of a person...Ch. 7 - The fuel tank shown in the figure in shad as a...Ch. 7 - A paper cup is designed to have a geometry of a...Ch. 7 - The relative humidity, RH, at sea level can be...
Ch. 7 - Write a user-defined function that calculates...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Prob. 15PCh. 7 - The area of a triangle ABC can be calculated by:...Ch. 7 - As shown in the figure, the area of a convex...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - Write a user-defined function that plots a...Ch. 7 - Write a user-defined function that plots an...Ch. 7 - Prob. 22PCh. 7 - Write a user-defined function that determines if a...Ch. 7 - The harmonic mean H of a set of n positive numbers...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined MATLAB function that finds...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - The shortest distance between two points on the...Ch. 7 - Delta rosette is a set of three strain gages...Ch. 7 - In a lottery the player has to select several...Ch. 7 - 34. The Taylor series expansion for sin x about x...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - The area moment of inertia Ixe of a rectangle...Ch. 7 - The simple RC high-pass filter shown in the figure...Ch. 7 - A circuit that filters out a certain frequency is...Ch. 7 - The first derivative df(x)dx a function f(x) at a...Ch. 7 - In lottery the player has to guess correctly r...
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