Data on alcohol content and wine quality was collected from vanants of a particular wine From a sample of 46 wines, a model was crealed using the percentages of alcohol to predict wine quality Y,-0.337 +0.5635X, where X, is the alcohol content (%) and Y, is the rated quality of the wine. For these data, Sy0316, X 1063, and 0.027260 when X 10 Complete part a) e . Construct a 0% confidence interval estimate of the mean wine quality rating for all wines that have 10% alcohal 4.988 sPy10 5.606 (Type integers or decimals. Round to thvee decimal places as needed. Use ascending order b. Construct a 95% prediction interval of the wine quality rating of an individual wine that has 10% aloohol (Type integers or decimals. Round to three decimal places as needed. Use ascending order)

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Author:Jay Abramson
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Chapter4: Linear Functions
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Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 46 wines, a model was created using the percentages of aloohol to predict wine quality
Y-0.337 +0.5635X,, where X, in the alcohol content (%) and Y, is the rated quality of the wine. For these data, Syx 0.9316, X 10.63, and h 0.027260 when X 10. Complete parta (a) throi
a. Construct a 05% confidence interval estimate of the mean wine quality rating for all wines that have 10% alcohol.
4.988 spypx= 10 s 5.608
(Type integers or decimals. Round to three decimal places as needed. Use ascending order)
b. Construct a 95% prediction interval of the wine quality rating of an individual wine that has 10% alcohol.
(Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
Transcribed Image Text:Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 46 wines, a model was created using the percentages of aloohol to predict wine quality Y-0.337 +0.5635X,, where X, in the alcohol content (%) and Y, is the rated quality of the wine. For these data, Syx 0.9316, X 10.63, and h 0.027260 when X 10. Complete parta (a) throi a. Construct a 05% confidence interval estimate of the mean wine quality rating for all wines that have 10% alcohol. 4.988 spypx= 10 s 5.608 (Type integers or decimals. Round to three decimal places as needed. Use ascending order) b. Construct a 95% prediction interval of the wine quality rating of an individual wine that has 10% alcohol. (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
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