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.