EBK BUSINESS ANALYTICS
3rd Edition
ISBN: 9780136880844
Author: Evans
Publisher: PEARSON
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Chapter 2, Problem 25PE
The Excel file
- Enter any date (using the format month/day/year) within the
range of the data in cell - Write an INDEX function in cell
- Combine the MATCH and INDEX
functions in parts a and b into one function that displays the closing value in cell
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Business
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
EBK BUSINESS ANALYTICS
Ch. 2 - The Excel file Syringe Samples provides data for...Ch. 2 - Convert the Store and Regional Sales database to...Ch. 2 - Convert the Purchase Orders database to an Excel...Ch. 2 - Prob. 6PECh. 2 - Prob. 8PECh. 2 - In the Excel file Automobile Quality, search for...Ch. 2 - Prob. 10PECh. 2 - Conduct a Pareto analysis for the number of...Ch. 2 - Use Excels filtering capability in the Purchase...Ch. 2 - In the Sales Transactions database, use Excels...
Ch. 2 - Filter the data in the Bicycle Inventory database...Ch. 2 - Use the Excel file Credit Risk Data that was...Ch. 2 - Apply the Advanced Filter to the Credit Risk Data...Ch. 2 - Prob. 17PECh. 2 - For the Bicycle Inventory database, use database...Ch. 2 - For the Bicycle Inventory database, write a...Ch. 2 - The Excel file SP500 provides open, high, low, and...Ch. 2 - In the Purchase Orders database, we need to find...Ch. 2 - An auditor found an expense receipt for 179.24...Ch. 2 - Use PivotTables to find the number of sales...
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