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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

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

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