
Ave 0.632273
S
t
1.058036
S
r
s
r
2
0.999885 0.999995 0.999999
r 0.999943 0.999997 1.000000
υ 7 6 5
S
yx
0.004161 0.000947 0.000376
Substituting back the value of x in Table 3.2 we get the values of y as shown in
Table 3.3.
To choose among the three equations that best fit the data points in Table
3.2, we determine the coefficient of determination r
2
by solving both S
t
and
S
r.
Based on the result in Table 3.3, the 5
th
order polynomial gives the highest
coefficient of determination r
2
= 0.999999 (closest to 1). Likewise, the smallest
standard error of estimate is the 5
th
order polynomial, so this equation will be
used to represent ...