To check your work, a sample solution is provided.
We used the following data points
X |
Y |
X |
Y |
X |
Y |
X |
Y |
|||
0 |
40 |
54 |
46 |
112 |
19 |
163 |
18 |
|||
7 |
40 |
70 |
39 |
121 |
16 |
172 |
19 |
|||
16 |
44 |
80 |
34 |
133 |
15 |
183 |
24 |
|||
26 |
48 |
89 |
30 |
145 |
15 |
200 |
34 |
|||
36 |
48 |
100 |
23 |
155 |
16 |
Using the TI-83/TI-89, our quartic regression equation (rounded to 4 decimal places) was
_{ }
The volume of the vase was determined by:
_{ }
The computed value for this was 664686.246094 cubic pixels
Using the ratio of 1 cm = 4 pixels (Vase height of 50 cm = 200 pixels), this converts to
_{ }
Your volume should be approximately between 10,000 and 11,000 cubic centimeters.