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 a certain type of wine. A sample of 12 wines is given. Develop a simple linear regression model t predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%). Complete parts (a) through (d) below. Click the icon to view the data of wine quality and alcohol content. a. Construct a scatter plot. Choose the correct graph below. OA. OB. O C. OD. Q 10- S S E 14 Q Tun 1 C 10 0 15 0 0 0 Alcohol Content (%) Alcohol Content (%) Alcohol Content (%) Alcohol Content (%) Alcohol Content and Quality Rating b. For these data, bo =4.9 and b₁ = 0.2. Interpret the meaning of the slope, b₁, in this problem. Choose the correct answer below. OA. The slope, b₁, implies that for each increase of 1 wine quality rating, the alcohol content is expected to increase by the value of b₁, in percentages. OB. The slope, b₁, implies that for each increase of alcohol percentage of 1.0, the wine quality rating is expected to increase by the value of b₁. OC. The slope, b₁, implies that for each 0.2 percentage decrease in alcohol content, the wine should have an increase in its rating by 1. OD. The slope, b₁, implies that the alcohol content is equal to the value of b₁, in percentages. Alcohol Content (%) Wine 1 9.0 2 9.8 3 9.4 10.9 c. Predict the mean wine quality for wines with an 12% alcohol content. 10.7 10.8 (Round to two decimal places as needed.) 11.5 11.3 d. What conclusion can you reach based on the results of (a)-(c)? 11.4 12.2 12.5 12.8 OA. Alcohol percentage appears to be affected by the wine quality. Each increase of 1 in quality leads to a mean increase in alcohol of about 0.2. OB. Alcohol percentage appears to be affected by the wine quality. Each increase of 1 in quality leads to a mean increase in alcohol of about 4.9. OC. Wine quality appears to be affected by the alcohol percentage. Each increase of 1% in alcohol leads to a mean increase in wine quality of about 4.9. G 40- G 4 5 6 7 8 9 10 11 12 of Quality Rating 6 8 6 8 8 8 8 X
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 a certain type of wine. A sample of 12 wines is given. Develop a simple linear regression model t predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%). Complete parts (a) through (d) below. Click the icon to view the data of wine quality and alcohol content. a. Construct a scatter plot. Choose the correct graph below. OA. OB. O C. OD. Q 10- S S E 14 Q Tun 1 C 10 0 15 0 0 0 Alcohol Content (%) Alcohol Content (%) Alcohol Content (%) Alcohol Content (%) Alcohol Content and Quality Rating b. For these data, bo =4.9 and b₁ = 0.2. Interpret the meaning of the slope, b₁, in this problem. Choose the correct answer below. OA. The slope, b₁, implies that for each increase of 1 wine quality rating, the alcohol content is expected to increase by the value of b₁, in percentages. OB. The slope, b₁, implies that for each increase of alcohol percentage of 1.0, the wine quality rating is expected to increase by the value of b₁. OC. The slope, b₁, implies that for each 0.2 percentage decrease in alcohol content, the wine should have an increase in its rating by 1. OD. The slope, b₁, implies that the alcohol content is equal to the value of b₁, in percentages. Alcohol Content (%) Wine 1 9.0 2 9.8 3 9.4 10.9 c. Predict the mean wine quality for wines with an 12% alcohol content. 10.7 10.8 (Round to two decimal places as needed.) 11.5 11.3 d. What conclusion can you reach based on the results of (a)-(c)? 11.4 12.2 12.5 12.8 OA. Alcohol percentage appears to be affected by the wine quality. Each increase of 1 in quality leads to a mean increase in alcohol of about 0.2. OB. Alcohol percentage appears to be affected by the wine quality. Each increase of 1 in quality leads to a mean increase in alcohol of about 4.9. OC. Wine quality appears to be affected by the alcohol percentage. Each increase of 1% in alcohol leads to a mean increase in wine quality of about 4.9. G 40- G 4 5 6 7 8 9 10 11 12 of Quality Rating 6 8 6 8 8 8 8 X
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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