Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. 1. a. What is/are the appropriate measure(s) of central tendency for each of the variables in Columns B-F? Explain your answers in no more than two sentences each. b. Calculate the measures of central tendencies above. c. Graph each variable using a histogram; label the above measures of central tendency with a red vertical line if you chose the mean, a blue line if you chose the m
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.
Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run.
1. a. What is/are the appropriate measure(s) of
b. Calculate the measures of central tendencies above.
c. Graph each variable using a histogram; label the above measures of central tendency with a red vertical line if you chose the mean, a blue line if you chose the
2. Create a
a. Draw a graphical representation of the model that you chose to use.
b. Comparing the model to your data, evaluate its fit in one or two sentences.
c. Replace the generic Yi = β0 + ε with the information you have here.
Please help. I particually need help with #2. I have no idea what it even means or where to start.
HERE is the attached dataset to start with;
a b c d e f
| Run | Ethanol | Glycerol | Acidity | Temp | pH |
| 1 | 4.8 | 3.5 | 0.84 | 24 | 3.8 |
| 2 | 9.6 | 7.3 | 0.27 | 24 | 3.8 |
| 3 | 10.2 | 7.2 | 0.27 | 24 | 3.8 |
| 4 | 8.5 | 5.1 | 0.55 | 24 | 3.8 |
| 5 | 7.3 | 3.2 | 0.68 | 24 | 3.1272 |
| 6 | 4.8 | 1.2 | 1.24 | 30 | 4.2 |
| 7 | 7.9 | 4.4 | 0.65 | 18 | 3.4 |
| 8 | 6.7 | 4.3 | 0.65 | 30 | 3.4 |
| 9 | 9.8 | 6.9 | 0.47 | 24 | 3.8 |
| 10 | 10.2 | 7.2 | 0.32 | 24 | 3.8 |
| 11 | 9.8 | 5.8 | 0.51 | 24 | 3.8 |
| 12 | 10.2 | 7.5 | 0.28 | 24 | 3.8 |
| 13 | 8.2 | 5.1 | 0.49 | 18 | 4.2 |
| 14 | 7.1 | 3.9 | 0.6 | 18 | 3.4 |
| 15 | 8.2 | 4.8 | 0.46 | 13.908 | 3.8 |
| 16 | 5.6 | 3.3 | 0.68 | 18 | 4.2 |
| 17 | 7.5 | 4.5 | 0.58 | 30 | 4.2 |
| 18 | 6.7 | 3.8 | 0.75 | 24 | 4.4728 |
| 19 | 5.5 | 3.8 | 0.45 | 30 | 3.4 |
| 20 | 6.5 | 4 | 0.79 | 34.092 | 3.8 |
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