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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
- 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. [8 marks]
- Compute and interpret the coefficient of determination. [2 marks]
- Calculate and interpret the slope and y-intercept (constant term) for a regression line based on this data? [6 marks]
- Estimate the number of calories in a 12oz beer when the alcohol content is 6.20%. [2 marks]
- Explain the difference between the correlation coefficient and the coefficient of determination [2 marks]
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