A quantity 
is known to depend upon another quantity 
.[12] A set of corresponding values has been collected for and and is presented in Table 12.1.
Table 12.1:
|
|
0.0 |
0.5 |
1.0 |
1.5 |
1.9 |
2.5 |
3.0 |
3.5 |
4.0 |
4.5 |
|
|
1.0 |
0.9 |
0.7 |
1.5 |
2.0 |
2.4 |
3.2 |
2.0 |
2.7 |
3.5 |
|
|
5.0 |
5.5 |
6.0 |
6.6 |
7.0 |
7.6 |
8.5 |
9.0 |
10.0 |
|
|
|
1.0 |
4.0 |
3.6 |
2.7 |
5.7 |
4.6 |
6.0 |
6.8 |
7.3 |
-
Fit the ‘best’ straight line
to this set of data points. The objective is to minimize the sum of absolute deviations of each observed value of from the value predicted by the linear relationship.
-
Fit the ‘best’ straight line where the objective is to minimize the maximum deviation of all the observed values of
from the value predicted by the linear relationship.
-
Fit the ‘best’ quadratic curve
to this set of data points using the same objectives as in (1) and (2).