Q:

Try fitting the graph of a polynomial to the given values. What's happening? Because? X= 1 2 3 4 Y= 1 2 3 4

Accepted Solution

A:
When we have the values of x and y as follows: X: 1, 2, 3, 4 Y: 1, 2, 3, 4 These values form a linear relationship where each x and y pair has the same value, i.e., x = y. In other words, it's a straight line with a slope of 1 that passes through the origin (0,0). If we were to fit a polynomial to these points, the simplest polynomial that fits them perfectly is a first-degree polynomial (a linear function) of the form: y = mx + b In this case, m = 1 (the slope) and b = 0 (the y-intercept), so the equation becomes: y = x Fitting higher-degree polynomials like quadratic, cubic, etc., to these points would result in curves that do not capture the linear relationship between x and y in this dataset. The simplest and best-fitting model for these points is a linear function.