sample of 17 ​wines, a model was created using the percentages of alcohol to predict wine quality. From the results of that​ regression, b1=0.4386 and Sb1=0.1141.   a. At the 0.05 level of​ significance, is there evidence of a linear relationship between the percentage of alcohol and wine​ quality? b. Construct a​ 95% confidence interval estimate of the population​ slope, β1.   b. The​ 95% confidence interval is __ ≤ β1 ≤ __

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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In an attempt to develop a model of wine quality as judged by wine​ experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 17 ​wines, a model was created using the percentages of alcohol to predict wine quality. From the results of that​ regression, b1=0.4386 and Sb1=0.1141.
 
a. At the 0.05 level of​ significance, is there evidence of a linear relationship between the percentage of alcohol and wine​ quality?
b. Construct a​ 95% confidence interval estimate of the population​ slope, β1.
 
b. The​ 95% confidence interval is __ ≤ β1 ≤ __
​(Round to three decimal places as​ needed.)
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