Answered: A scatterplot with a horizontal axis…

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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Question

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 to predict wine quality, measured on a scale from 0 (very bad) to 10 (excellent), based on alcohol content (%).

040015Alcohol Content (%)Wine Quality Rating

A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 40 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 15 in increments of 5 contains 12 points. The coordinates of the points are as follows: (31, 11); (33, 11); (33, 11); (31, 12); (33, 12); (32, 12); (31, 13); (31, 13); (31, 13); (31, 14); (33, 14); (31, 14). All coordinates are approximate.

015040Alcohol Content (%)Wine Quality Rating

A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 15 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 40 in increments of 5 contains 12 points. The coordinates of the points are as follows: (11, 31); (11, 33); (11, 33); (12, 31); (12, 33); (12, 32); (13, 31); (13, 31); (13, 31); (14, 31); (14, 33); (14, 31). All coordinates are approximate.

010015Alcohol Content (%)Wine Quality Rating

A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 10 in increments of 2 and a vertical axis labeled "Wine Quality Rating" from 0 to 15 in increments of 5 contains 12 points. The coordinates of the points are as follows: (9, 11); (7, 11); (7, 11); (9, 12); (7, 12); (8, 12); (9, 13); (9, 13); (9, 13); (9, 14); (7, 14); (9, 14). All coordinates are approximate.

015010Alcohol Content (%)Wine Quality Rating

A scatterplot with a horizontal axis labeled "Alcohol Content (%)" from 0 to 15 in increments of 5 and a vertical axis labeled "Wine Quality Rating" from 0 to 10 in increments of 2 contains 12 points. The coordinates of the points are as follows: (11, 9); (11, 7); (11, 7); (12, 9); (12, 7); (12, 8); (13, 9); (13, 9); (13, 9); (14, 9); (14, 7); (14, 9). All coordinates are approximate.

b. For these data,

b0=5.3

and

b1=0.2.

Interpret the meaning of the slope,

b1,

in this problem. Choose the correct answer below.

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.

The slope,