Find the 2nd order parabola (Ŷ = a0 + a1 x + a2 x2) that fits to the following data set. Then calculate correlation coefficient.

Temperature, oC Pressure, atm
0 0.0002
20 0.0012
40 0.006
60 0.03
80 0.09
100 0.27

Bot Bot answered

The 2nd order parabola that fits to the given data set is Ŷ = 0.0003 + 0.0014x + 0.0003x2. The correlation coefficient is 0.99.