Difference between revisions of "Diamonds Regression Lab"
From Sean_Carver
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The size of a diamond can described by its dimensions (x, y, and z) and by its weight (usually expressed in carats). We are going to investigate the relationship between these two descriptions. | The size of a diamond can described by its dimensions (x, y, and z) and by its weight (usually expressed in carats). We are going to investigate the relationship between these two descriptions. | ||
| − | As you might imagine, the shape of a diamond matters. | + | The weight of a diamond is its volume times its density. As you might imagine, the shape of a diamond matters. If diamonds were cut as cylinders, the relationship would be: |
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| + | weight = density*pi/4 * x*y*z | ||
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| + | If diamonds were cut as cones the relationship would be | ||
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| + | weight = density*pi/12 * x*y*z | ||
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| + | In both cases, the value is a number times the product of the dimensions. | ||
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| + | You are going to find the formula actual diamonds with shape cut as so-called "round cut." Such diamonds have a highly (but maybe not entirely) consistent shape. | ||
Revision as of 18:36, 26 August 2019
This Lab is Under Construction
The size of a diamond can described by its dimensions (x, y, and z) and by its weight (usually expressed in carats). We are going to investigate the relationship between these two descriptions.
The weight of a diamond is its volume times its density. As you might imagine, the shape of a diamond matters. If diamonds were cut as cylinders, the relationship would be:
weight = density*pi/4 * x*y*z
If diamonds were cut as cones the relationship would be
weight = density*pi/12 * x*y*z
In both cases, the value is a number times the product of the dimensions.
You are going to find the formula actual diamonds with shape cut as so-called "round cut." Such diamonds have a highly (but maybe not entirely) consistent shape.
