13th Edition

ISBN: 9781305881884

Author: Anderson

Publisher: CENGAGE L

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When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Textbook Question

Chapter 16, Problem 2CP

Rating Wines from the Piedmont Region of Italy

Wine Spectator magazine contains articles and reviews on every aspect of the wine industry, including ratings of wine from around the world. In a recent issue they reviewed and scored 475 wines from the Piedmont region of Italy using a 100-point scale (Wine Spectator, April 30, 2011). The following table shows how the Wine Spectator score each wine received is used to rate each wine as being classic, outstanding, very good, good, mediocre, or not recommended.

Score	Rating
95–100	Classic: a great wine
90–94	Outstanding: a wine of superior character and style
85–89	Very good: a wine with special qualities
80–84	Good: a solid, well-made wine
75–79	Mediocre: a drinkable wine that may have minor flaws
below 75	Not Recommended

A key question for most consumers is whether paying more for a bottle of wine will result in a better wine. To investigate this question for wines from the Piedmont region we selected a random sample of 100 of the 475 wines that Wine Spectator reviewed. The data, contained in the file named WineRatings, shows the price ($), the Wine Spectator score, and the rating for each wine.

Managerial Report

1. Develop a table that shows the number of wines that were classified as classic, outstanding, very good, good, mediocre, and not recommended and the average price. Does there appear to be any relationship between the price of the wine and the Wine Spectator rating? Are there any other aspects of your initial summary of the data that stand out?
2. Develop a scatter diagram with price on the horizontal axis and the Wine Spectator score on the vertical axis. Does the relationship between price and score appear to be linear?
3. Using linear regression, develop an estimated regression equation that can be used to predict the score given the price of the wine.
4. Using a second-order model, develop an estimated regression equation that can be used to predict the score given the price of the wine.
5. Compare the results from fitting a linear model and fitting a second-order model.
6. As an alternative to fitting a second-order model, fit a model using the natural logarithm of price as the independent variable. Compare the results with the second-order model.
7. Based upon your analysis, would you say that spending more for a bottle of wine will provide a better wine?
8. Suppose that you want to spend a maximum of $30 for a bottle of wine. In this case, will spending closer to your upper limit for price result in a better wine than a much lower price?

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Chapter 16, Problem 34SE

Chapter 17.2, Problem 1E

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Chapter 16 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Consider the following data for two variables, x...Ch. 16.1 - Prob. 3E Ch. 16.1 - A highway department is studying the relationship...Ch. 16.1 - In working further with the problem of exercise 4,...Ch. 16.1 - A study of emergency service facilities...Ch. 16.1 - In 2011, home prices and mortgage rates fell so...Ch. 16.1 - Corvette, Ferrari, and Jaguar produced a variety...Ch. 16.1 - Kiplingers Personal Finance Magazine rated 359...Ch. 16.2 - In a regression analysis involving 27...

Ch. 16.2 - In a regression analysis involving 30...Ch. 16.2 - The Ladies Professional Golfers Association (LPGA)...Ch. 16.2 - Refer to exercise 12. a. Develop an estimated...Ch. 16.2 - A 10-year study conducted by the American Heart...Ch. 16.2 - In baseball, an earned run is any run that the...Ch. 16.4 - A study provided data on variables that may be...Ch. 16.4 - Prob. 17E Ch. 16.4 - Jeff Sagarin has been providing sports ratings for...Ch. 16.4 - Prob. 19E Ch. 16.5 - Consider a completely randomized design involving...Ch. 16.5 - Prob. 21E Ch. 16.5 - Prob. 22E Ch. 16.5 - The Jacobs Chemical Company wants to estimate the...Ch. 16.5 - Four different paints are advertised as having the...Ch. 16.5 - An automobile dealer conducted a test to determine...Ch. 16.5 - A mail-order catalog firm designed a factorial...Ch. 16.6 - The following data show the daily closing prices...Ch. 16.6 - Refer to the Cravens data set in Table 16.5. In...Ch. 16 - A sample containing years to maturity and yield...Ch. 16 - Consumer Reports tested 19 different brands and...Ch. 16 - A study investigated the relationship between...Ch. 16 - Refer to the data in exercise 31. Consider a model...Ch. 16 - Refer to the data in exercise 31. a. Develop an...Ch. 16 - Prob. 34SE Ch. 16 - Rating Wines from the Piedmont Region of Italy...

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