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Task: Insurance Prediction
Input: Sale of a vehicle
Output: Insurance Amount
Data: (Xi, Yi) i=1, 2, ..., N where Xi=Sales, Yi=Amount
Model/Algo: Linear Regression
Parameters:
Objective Function:
(1, 1)
(2, 3)
(5, ?)
x
y
Training:
(x, y)
Learning Algo:
(m, c)
Testing:
(x, m, c)
y = m x + c
ax + by + c = 0
by = - (ax +c)
y = -(ax + c) / b
y = (-a/b) x + (-c/b)
c
2D: Line
y = m x + c
ax + by + c = 0
by = - (ax +c)
y = -(ax + c) / b
y = (-a/b) x + (-c/b)
w1x1 + w2x2 + w0 = 0
3D: Plane
w1x1 + w2x2 + w3x3 + w0 = 0
4D: Hyperplane
w1x1 + w2x2 + w3x3 + w4x4 + w0 = 0
5D: Hyperplane
w1x1 + w2x2 + w3x3 + w4x4 +w5x5+ w0 = 0
nD: Hyperplane
w1x1 + w2x2 + w3x3 + ... + wnxn+ w0 = 0
nD: Hyperplane
w1x1 + w2x2 + w3x3 + ... + wnxn+ w0 = 0
nD: Hyperplane
W = [w1, w2, w3, ..., wn]
X =[x1, x2, x3, ..., xn]
W.X = w1x1 + w2x3 + w3x3 + ... + wnxn
W. X + w0 = 0