STATISTICAL TECHNIQUES IN BUS.+ECON.
18th Edition
ISBN: 9781260239478
Author: Lind
Publisher: RENT MCG
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Chapter 14, Problem 1.10PT
In a multiple regression equation, what is the maximum number of independent variables allowed? (2, 10, 30, unlimited)
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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.
5. Probability Distributions – Continuous Random Variables
A factory machine produces metal rods whose lengths (in cm) follow a continuous uniform distribution on the interval [98, 102].
Questions:
a) Define the probability density function (PDF) of the rod length.b) Calculate the probability that a randomly selected rod is shorter than 99 cm.c) Determine the expected value and variance of rod lengths.d) If a sample of 25 rods is selected, what is the probability that their average length is between 99.5 cm and 100.5 cm? Justify your answer using the appropriate distribution.
Chapter 14 Solutions
STATISTICAL TECHNIQUES IN BUS.+ECON.
Ch. 14 - There are many restaurants in northeastern South...Ch. 14 - Prob. 1ECh. 14 - Thompson Photo Works purchased several new, highly...Ch. 14 - A consulting group was hired by the Human...Ch. 14 - Cellulon, a manufacturer of home insulation, wants...Ch. 14 - Refer to Self-Review 141 on the subject of...Ch. 14 - Prob. 5ECh. 14 - Prob. 6ECh. 14 - Prob. 3SRCh. 14 - Given the following regression output, answer the...
Ch. 14 - The following regression output was obtained from...Ch. 14 - A study by the American Realtors Association...Ch. 14 - The manager of High Point Sofa and Chair, a large...Ch. 14 - Prob. 10ECh. 14 - Prob. 11ECh. 14 - A real estate developer wishes to study the...Ch. 14 - Prob. 13CECh. 14 - Prob. 14CECh. 14 - Prob. 15CECh. 14 - Prob. 16CECh. 14 - The district manager of Jasons, a large discount...Ch. 14 - Suppose that the sales manager of a large...Ch. 14 - The administrator of a new paralegal program at...Ch. 14 - Prob. 20CECh. 14 - Prob. 21CECh. 14 - A regional planner is studying the demographics of...Ch. 14 - Great Plains Distributors, Inc. sells roofing and...Ch. 14 - Prob. 24CECh. 14 - Prob. 25CECh. 14 - Prob. 26CECh. 14 - Prob. 28CECh. 14 - Prob. 29CECh. 14 - The director of special events for Sun City...Ch. 14 - Prob. 31CECh. 14 - Prob. 32CECh. 14 - Prob. 33DACh. 14 - Prob. 34DACh. 14 - Prob. 35DACh. 14 - Prob. 1PCh. 14 - Quick-print firms in a large downtown business...Ch. 14 - The following ANOVA output is given. a. Compute...Ch. 14 - Prob. 1CCh. 14 - Prob. 2CCh. 14 - Prob. 3CCh. 14 - In a scatter diagram, the dependent variable is...Ch. 14 - What level of measurement is required to compute...Ch. 14 - If there is no correlation between two variables,...Ch. 14 - Which of the following values indicates the...Ch. 14 - Under what conditions will the coefficient of...Ch. 14 - Given the following regression equation, = 7 ...Ch. 14 - Given the following regression equation, = 7 ...Ch. 14 - Given the following regression equation, = 7 ...Ch. 14 - Prob. 1.9PTCh. 14 - In a multiple regression equation, what is the...Ch. 14 - Prob. 1.11PTCh. 14 - Prob. 1.12PTCh. 14 - For a dummy variable, such as gender, how many...Ch. 14 - What is the term given to a table that shows all...Ch. 14 - If there is a linear relationship between the...Ch. 14 - Given the following regression analysis output: a....Ch. 14 - Given the following regression analysis output. a....
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