A researcher is interested in knowing if there is a relationship between the alcohol content and the number of calories in a 12-ounce beer. To determine if there is relationship, a random sample was taken of beer’s alcohol content and calories and the data recorded in the table below: Alcohol Content (%) Calories in12 oz 4.70 153 5.80 210 8.10 220 0.35 60 6.15 108 5.80 165 6.00 148 6.00 155 4.80 150 6.50 180 Using the data presented in the table: Compute and interpret the correlation coefficient. Compute and interpret the coefficient of determination. Calculate and interpret the slope and y-intercept (constant term) for a regression line based on this data? Estimate the number of calories in a 12oz beer when the alcohol content is 6.20%.

A researcher is interested in knowing if there is a relationship between the alcohol content and the number of calories in a 12-ounce beer. To determine if there is relationship, a random sample was taken of beer’s alcohol content and calories and the data recorded in the table below: Alcohol Content (%) Calories in12 oz 4.70 153 5.80 210 8.10 220 0.35 60 6.15 108 5.80 165 6.00 148 6.00 155 4.80 150 6.50 180 Using the data presented in the table: Compute and interpret the correlation coefficient. Compute and interpret the coefficient of determination. Calculate and interpret the slope and y-intercept (constant term) for a regression line based on this data? Estimate the number of calories in a 12oz beer when the alcohol content is 6.20%.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4AGP

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Question

A researcher is interested in knowing if there is a relationship between the alcohol content and the number of calories in a 12-ounce beer. To determine if there is relationship, a random sample was taken of beer’s alcohol content and calories and the data recorded in the table below:

Alcohol Content (%)	Calories in12 oz
4.70	153
5.80	210
8.10	220
0.35	60
6.15	108
5.80	165
6.00	148
6.00	155
4.80	150
6.50	180

Using the data presented in the table:

Compute and interpret the correlation coefficient.
Compute and interpret the coefficient of determination.
Calculate and interpret the slope and y-intercept (constant term) for a regression line based on this data?

Estimate the number of calories in a 12oz beer when the alcohol content is 6.20%.

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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