The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries.
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.
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a
Round your answers to 3 decimal places
| Raspberry Type | grams | Vitamin C content in mg |
|---|---|---|
| Farm A - North Field | 70 | 18.1 |
| Farm B - North Field | 80 | 23.2 |
| Farm A - South Field | 90 | 27.2 |
| Farm B - South Field | 100 | 32.6 |
| Farm C -Small Field | 110 | 37.2 |
| Farm D | 120 | 40.2 |
| Farm E | 130 | 45.5 |
y=y= x+x+
We can use excel to compute the linear regression model for the given problems.
| x | y | xy | x^2 | y^2 |
| 70 | 18.1 | 1267 | 4900 | 327.61 |
| 80 | 23.2 | 1856 | 6400 | 538.24 |
| 90 | 27.2 | 2448 | 8100 | 739.84 |
| 100 | 32.6 | 3260 | 10000 | 1062.76 |
| 110 | 37.2 | 4092 | 12100 | 1383.84 |
| 120 | 40.2 | 4824 | 14400 | 1616.04 |
| 130 | 45.5 | 5915 | 16900 | 2070.25 |
| sum(x) = 700 | 224 | 23662 | 72800 | 7738.58 |
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