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%.  4. explain the difference between the correlation  coefficient  and the  coefficient  of determination.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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  1. 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:

  1. Compute and interpret the correlation coefficient
  2. Compute and interpret the coefficient of determination.
  3. 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%. 

4. explain the difference between the correlation  coefficient  and the  coefficient  of determination.

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