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%.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 8CR

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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 Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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