ales 75 77 69 63 79 80 77 70 73 87 72 73 80 80 69 84 77 72 74 81 temperature 32 36 31 31 34 29 32 35 28 31 30 31 29 35 36 28 32 33 32 33 Sale is in thousand liters and temperature is in degree Celsius. Data is Normally distributed
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.
|
sales |
75 |
77 |
69 |
63 |
79 |
80 |
77 |
70 |
73 |
87 |
72 |
73 |
80 |
80 |
69 |
84 |
77 |
72 |
74 |
81 |
|
temperature |
32 |
36 |
31 |
31 |
34 |
29 |
32 |
35 |
28 |
31 |
30 |
31 |
29 |
35 |
36 |
28 |
32 |
33 |
32 |
33 |
Sale is in thousand liters and temperature is in degree Celsius. Data is
You are required to determine the following information for some concrete decision:
- Determine the statistical relationship between temperature and sale of water and interpret.
- How much change in sales if the temperature increases by two degrees?
- If for instance, the temperature becomes zero then how much sales will be?
- How much percent variation in sales due to temperature and due to other factors?
- Write the equation for the prediction of sales.
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