Artificial intelligence · University
Prediction from a linear model
A model prediction is not a guarantee about an individual outcome.
Method and conditions
A model prediction is not a guarantee about an individual outcome.
ŷ = wx + b
Worked examples
A fitted linear model has w=6, b=-19. Find its prediction at x=11. Round the final result to 4 decimal places if needed.
Substitute into ŷ=wx+b: (6)(11)+(-19).
47
A fitted linear model has w=4, b=5. Find its prediction at x=-15. Round the final result to 4 decimal places if needed.
Substitute into ŷ=wx+b: (4)(-15)+(5).
-55
Try it
A fitted linear model has w=10, b=1. Find its prediction at x=-11. Round the final result to 4 decimal places if needed.
A fitted linear model has w=11, b=5. Find its prediction at x=5. Round the final result to 4 decimal places if needed.
Check your work
Answers and marking notes
- -109
Substitute into ŷ=wx+b: (10)(-11)+(1).
- 60
Substitute into ŷ=wx+b: (11)(5)+(5).
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