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 17 174.8 19.5 208.6 22 230.8 24.5 257 27 280.4 29.5 312.5 32 329 A) Write the linear regression equation for the data in the chart. Volume = x + 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 15, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. mL

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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 |
|-------|--------------|
| 17    | 174.8        |
| 19.5  | 208.6        |
| 22    | 230.8        |
| 24.5  | 257          |
| 27    | 280.4        |
| 29.5  | 312.5        |
| 32    | 329          |

### A) Write the linear regression equation for the data in the chart. 

**Volume = (box) * x + (box)** 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 15, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. 

**(box) mL**
Transcribed Image Text: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 | |-------|--------------| | 17 | 174.8 | | 19.5 | 208.6 | | 22 | 230.8 | | 24.5 | 257 | | 27 | 280.4 | | 29.5 | 312.5 | | 32 | 329 | ### A) Write the linear regression equation for the data in the chart. **Volume = (box) * x + (box)** 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 15, using your un-rounded regression equation find its predicted volume. Round your answer to 1 decimal place. **(box) mL**
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