How strong is the positive relationship between the alcohol content and the number of calories in 12-ounce beer? Table: Alcohol and Calorie Content in Beer: Alcohol Content Calories in 12 ounce 4.70% 163 6.70% 215 8.10% 222 0.40% 70 4.15% 104 5.10% 162 5.00% 158 5.00% 155 4.70% 158 6.20% 195 Find the correlation coefficient and interpret that value. Determine the regression equation. Use the regression equation to find the number of calories when the alcohol content is 6.50%
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Q.No.3.
- How strong is the positive relationship between the alcohol content and the number of calories in 12-ounce beer?
Table: Alcohol and Calorie Content in Beer:
|
Alcohol Content |
Calories in 12 ounce |
|
4.70% |
163 |
|
6.70% |
215 |
|
8.10% |
222 |
|
0.40% |
70 |
|
4.15% |
104 |
|
5.10% |
162 |
|
5.00% |
158 |
|
5.00% |
155 |
|
4.70% |
158 |
|
6.20% |
195 |
- Find the
correlation coefficient and interpret that value. - Determine the regression equation.
- Use the regression equation to find the number of calories when the alcohol content is 6.50%.
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