ELEMENTARY STAT.USING EXCEL-COMBO CARD
7th Edition
ISBN: 9780137376643
Author: Triola
Publisher: PEARSON
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Chapter 2.3, Problem 15BSC
To determine
To construct: A frequency
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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 2 Solutions
ELEMENTARY STAT.USING EXCEL-COMBO CARD
Ch. 2.1 - Prob. 1BSCCh. 2.1 - Prob. 2BSCCh. 2.1 - Prob. 3BSCCh. 2.1 - Prob. 4BSCCh. 2.1 - Prob. 5BSCCh. 2.1 - Prob. 6BSCCh. 2.1 - Prob. 7BSCCh. 2.1 - Prob. 8BSCCh. 2.1 - Prob. 9BSCCh. 2.1 - Prob. 10BSC
Ch. 2.1 - Prob. 11BSCCh. 2.1 - Prob. 12BSCCh. 2.1 - Prob. 13BSCCh. 2.1 - Prob. 14BSCCh. 2.1 - Prob. 15BSCCh. 2.1 - Prob. 16BSCCh. 2.1 - Prob. 17BSCCh. 2.1 - Prob. 18BSCCh. 2.1 - Prob. 19BSCCh. 2.1 - Prob. 20BSCCh. 2.1 - Prob. 21BSCCh. 2.1 - Prob. 22BSCCh. 2.1 - Prob. 23BSCCh. 2.1 - Prob. 24BSCCh. 2.1 - Prob. 25BSCCh. 2.1 - Prob. 26BSCCh. 2.1 - Prob. 27BSCCh. 2.1 - Prob. 28BSCCh. 2.1 - Prob. 29BSCCh. 2.1 - Prob. 30BSCCh. 2.1 - Prob. 31BSCCh. 2.1 - Prob. 32BSCCh. 2.1 - Prob. 33BSCCh. 2.1 - Prob. 34BSCCh. 2.2 - 1. Heights Heights of adult males are normally...Ch. 2.2 - Prob. 2BSCCh. 2.2 - Prob. 3BSCCh. 2.2 - Prob. 4BSCCh. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Interpreting a Histogram. In Exercises 5–8, answer...Ch. 2.2 - Prob. 9BSCCh. 2.2 - Prob. 10BSCCh. 2.2 - Prob. 11BSCCh. 2.2 - Prob. 12BSCCh. 2.2 - Prob. 13BSCCh. 2.2 - Prob. 14BSCCh. 2.2 - Prob. 15BSCCh. 2.2 - Prob. 16BSCCh. 2.2 - Prob. 17BSCCh. 2.2 - Prob. 18BSCCh. 2.2 - Prob. 19BBCh. 2.3 - Prob. 1BSCCh. 2.3 - Prob. 2BSCCh. 2.3 - 3. Ethics There are data showing that smoking is...Ch. 2.3 - Prob. 4BSCCh. 2.3 - Pulse Rates Listed below are pulse rates (beats...Ch. 2.3 - Diastolic Blood Pressure Listed below are...Ch. 2.3 - Pulse Rates Refer to the data listed in Exercise...Ch. 2.3 - Diastolic Blood Pressure Refer to the data listed...Ch. 2.3 - Prob. 9BSCCh. 2.3 - Prob. 10BSCCh. 2.3 - Prob. 11BSCCh. 2.3 - Prob. 12BSCCh. 2.3 - Prob. 13BSCCh. 2.3 - Prob. 14BSCCh. 2.3 - Prob. 15BSCCh. 2.3 - Prob. 16BSCCh. 2.3 - Prob. 17BSCCh. 2.3 - Deceptive Graphs. In Exercises 17-20, identify how...Ch. 2.3 - Prob. 19BSCCh. 2.3 - Prob. 20BSCCh. 2.3 - Prob. 21BBCh. 2.3 - Prob. 22BBCh. 2.4 - 1. Linear Correlation In this section we use r to...Ch. 2.4 - Prob. 2BSCCh. 2.4 - Prob. 3BSCCh. 2.4 - Prob. 4BSCCh. 2.4 - Prob. 5BSCCh. 2.4 - Prob. 6BSCCh. 2.4 - Prob. 7BSCCh. 2.4 - Prob. 8BSCCh. 2.4 - Prob. 9BSCCh. 2.4 - Prob. 10BSCCh. 2.4 - Prob. 11BSCCh. 2.4 - Prob. 12BSCCh. 2.4 - Prob. 13BBCh. 2.4 - Prob. 14BBCh. 2.4 - Prob. 15BBCh. 2.4 - Prob. 16BBCh. 2 - Prob. 1CQQCh. 2 - Prob. 2CQQCh. 2 - Prob. 3CQQCh. 2 - Prob. 4CQQCh. 2 - Prob. 5CQQCh. 2 - Prob. 6CQQCh. 2 - Prob. 7CQQCh. 2 - Prob. 8CQQCh. 2 - Prob. 9CQQCh. 2 - Prob. 10CQQCh. 2 - Prob. 1RECh. 2 - Prob. 2RECh. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 1CRECh. 2 - Prob. 2CRECh. 2 - Prob. 3CRECh. 2 - Prob. 4CRECh. 2 - Prob. 5CRECh. 2 - Prob. 1EPCh. 2 - Prob. 1FDDCh. 2 - Prob. 2FDDCh. 2 - Prob. 3FDDCh. 2 - Prob. 4FDD
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