An unknown metal has been found and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses mass as a function of the volume. grams Volume in ml 15 205.9 17.5 233.1 20 274.6 22.5 308.9 25 336.4 27.5 366.3 30 399.6 A) Write the linear regression equation for the data in the chart. where x is the grams of the unknown metal. Round your answers Volume = to 3 decimal places B) If the mass of an unknown metal is 13, using your un-rounded regression equation find its predicted mL volume. Round your answer to 1 decimal place. Message instructor Question Help:
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 Model of Mass as a Function of Volume
An unknown metal has been found, and the following experimental results have been tabulated in the table below. The table contains the grams of the unknown metal and the volume in milliliters of water displacement. Find a linear model that expresses **mass** as a function of the **volume**.
| grams | Volume in ml |
|-------|--------------|
| 15 | 205.9 |
| 17.5 | 233.1 |
| 20 | 274.6 |
| 22.5 | 308.9 |
| 25 | 336.4 |
| 27.5 | 366.3 |
| 30 | 399.6 |
**A) Write the linear regression equation for the data in the chart.**
\[ \text{Volume} = \_\_\_ \times + \_\_\_ \]
where \( x \) is the grams of the unknown metal. Round your answers to 3 decimal places.
**B) If the mass of an unknown metal is 13, using your un-rounded regression equation find its predicted volume.** Round your answer to 1 decimal place.
\[ \_\_\_ \text{ mL} \]
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