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. Vitamin C content in mg grams 70 18.9 80 23 90 27 100 32 110 35.8 120 40.2 130 46 A) Find the regression equation: y = x + Round your answers to 3 decima places B) Answer the following questions using your un-rounded regression equation. f we test 160 grams of raspberries what is the expected Vitamin C content? mg (round to tl nearest tenth)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### Linear Regression Model for Vitamin C Content in Raspberries
The table below shows 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 expresses **Vitamin C content** as a function of the **weight of the Raspberries**.
#### Dataset:
| grams | Vitamin C content in mg |
|-------|------------------------|
| 70 | 18.9 |
| 80 | 23 |
| 90 | 27 |
| 100 | 32 |
| 110 | 35.8 |
| 120 | 40.2 |
| 130 | 46 |
#### Questions:
A) **Find the regression equation:**
\[ y = \_\_\_\_x + \_\_\_\_ \]
Round your answers to 3 decimal places.
B) **Answer the following questions using your un-rounded regression equation:**
If we test 160 grams of raspberries, what is the expected Vitamin C content?
\[ \_\_\_\_ \text{ mg} \]
(round to the nearest tenth).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcebbde0b-56df-456f-b45f-057baf1d3a0f%2F47edbb0a-ff49-428b-af06-6e346e39bbec%2Fqphlu_processed.png&w=3840&q=75)
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