Find the 2nd order parabola (Ŷ = a0 + a1 x + a2 x2) that fits to the following data set. Then calculate correlation coefficient.
No Temperature, oC Pressure, atm
1 0 0.0002
2 20 0.0012
3 40 0.006
4 60 0.03
5 80 0.09
6 100 0.27
The 2nd order parabola that fits to the data set is Ŷ = 0.0003 + 0.0019x + 0.0003x2.
The correlation coefficient is 0.9998.