Residual Sum of the Squares
In a previous exercise, we saw that the altitude along a hiking trail was roughly fit by a linear model, and we introduced the concept of differences between the model and the data as a measure of model goodness.
In this exercise, you'll work with the same measured data, and quantifying how well a model fits it by computing the sum of the square of the "differences", also called "residuals".
Este exercício faz parte do curso
Introduction to Linear Modeling in Python
Instruções do exercício
- Load the
x_data
,y_data
with the pre-definedload_data()
function. - Call the pre-defined
model()
, passing inx_data
and specific valuesa0
,a1
. - Compute the residuals as
y_data - y_model
and then findrss
by usingnp.square()
andnp.sum()
. - Print the resulting value of
rss
.
Exercício interativo prático
Experimente este exercício completando este código de exemplo.
# Load the data
x_data, y_data = load_data()
# Model the data with specified values for parameters a0, a1
y_model = model(____, a0=150, a1=25)
# Compute the RSS value for this parameterization of the model
rss = np.sum(np.square(____ - ____))
print("RSS = {}".format(____))