We are given the data of the measured population of North Carolina in terms of years since 1920.
Time is in years and the population is in millions.
To decide what type of regression analysis should be applied, let us first plot the data.
As you can see, the data points don't fit into a straight line but rather have a curved parabolic type of shape (non-linear).
Therefore, the data is best modeled by a quadratic function.
Now, let us apply the quadratic regression (non-linear) to the given data.
As you can see, the values of coefficients a, b, and c are
a = 0.000340873
b = 0.033225
c = 2.63518
Please round off the values as per instructions.