Here, we use No.Polynomial Coefficients for the degree of polynomial, that’s ok.

If the No.Polynomial Coefficients is changed , does the prediction graph changes ?

If yes,then how to give the correct value to the No.Polynomial Coefficients ,for getting similar predicted points?

The changes in No.Polynomial Coefficients changes the graph as it changes the degree of polynomial and gives more accurate predictions(by increasing the value) but higher the value leads to a case called over-fitting and very low values cause under-fitting , you have to choose what number you want by trial and error.