redict the mean quality for a red wine that has 1010% alcohol. Construct a 95% confidence interval estimate and a 95% prediction interval. Predict the mean quality for a red wine that has 1010% alcohol.
Added by Kelsey D.
Step 1
To predict the mean quality for a red wine that has 10% alcohol and construct a 95% confidence interval estimate and a 95% prediction interval, we will follow these steps: Show more…
Show all steps
Close
Your feedback will help us improve your experience
Dominador Tan and 54 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
14.27 In Problem 14.5 on page 542, you used the percentage of alcohol and chlorides to predict wine quality (stored in VinhoVerde). Using the results from that problem, a. construct a 95% confidence interval estimate of the population slope between wine quality and the percentage of alcohol. b. at the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the independent variables to include in this model.
Dominador T.
The production of wine is a multibillion-dollar world-wide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of Portuguese "Vinho Verde" wine. A sample of 50 wines is stored in "VinhoVerde.xlsx" (Data extracted from P. Cortez, A. Cerdeira, F. Almeida, T. Matos, and J. Reis, "Modeling Wine Preferences by Data Mining from Physiochemical Properties," Decision Support Systems, 47, 2009, pp. 547-553). Develop a multiple linear regression model to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent) based on alcohol content (%) and amount of chlorides. a) State the multiple regression equation. [3 points] b) Interpret the meaning of the slopes, b1 and b2, in this problem. [3 points]. c) Predict the mean wine quality rating for wines that have 10% alcohol and chlorides of 0.08. [3 points] d) Determine whether there is a significant relationship between wine quality and two independent variables (percentage of alcohol and chlorides) at 0.05 level of significance. [3 points] e) Compute the coefficient of multiple determination, r2, and interpret its meaning. [3 points] f) Compute the adjusted r2. [3 points] g) Construct a 95% confidence interval estimate of the population slope between wine quality and the percentage of alcohol. [4 points] h) At the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model. [3 points]
Sri K.
APPLYING THE CONCEPTS 13.4 The production of wine is a multibillion-dollar worldwide industry. In an attempt to develop a model of wine quality as judged by wine experts, data was collected from red wine variants of Portuguese "Vinho Verde" wine. (Data extracted from P. Cortez, Cerdeira, A., Almeida, F., Matos, T., and Reis, J., "Modeling Wine Preferences by Data Mining from Physiochemical Properties," Decision Support Systems, 47, 2009, pp. 547–553 and bit.ly/9xKlEa.) A sample of 50 wines is stored in VinhoVerde . Develop a simple linear regression model to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%). a. Construct a scatter plot. For these data, b0 = -0.3529 and b1 = 0.5624. b. Interpret the meaning of the slope, b1, in this problem. c. Predict the mean wine quality for wines with a 10% alcohol content. d. What conclusion can you reach based on the results of (a)–(c)?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD