Significance of polynomial fit

JK

 

Could you check the above result? Is it not signigicant for polynomial (2-degree) regression, right? (p=0.3212) 

Data points are near the polynomial fit line, and R-squared is 98%. However, due to insignificance, in my result, can't I use this polynomial regression? and I have to use simple linear regression? 

 

Apparently, it seems polynomial regression line is more clear then linear line, but JMP says it's not significant. Could you guide me about this?

 

Thanks,

 

Mark_Bailey

The human visual system is a wonderful, amazing device. But it is also creative and makes up things that aren't really there. In this case, such a result (curved line) as your sample can easily occur from a linear response. The statistics are not meant to dictate your conclusions but your statistics suggest that the non-linear component has practically no support from the data.