DATABRICKS-CERTIFIED-PROFESSIONAL-DATA-SCIENTIST · Question #49
Assume some output variable "y" is a linear combination of some independent input variables "A" plus some independent noise "e". The way the independent variables are combined is defined by a…
The correct answer is D. Option D. This is the standard solution of the normal equations for linear regression. Because A is not square, you cannot simply take its inverse.
Question
Assume some output variable "y" is a linear combination of some independent input variables "A" plus some independent noise "e". The way the independent variables are combined is defined by a parameter vector B y=AB+e where X is an m x n matrix. B is a vector of n unknowns, and b is a vector of m values. Assuming that m is not equal to n and the columns of X are linearly independent, which expression correctly solves for B?
Options
- AOption A
- BOption B
- COption C
- DOption D
How the community answered
(48 responses)- A2% (1)
- B6% (3)
- C13% (6)
- D79% (38)
Explanation
This is the standard solution of the normal equations for linear regression. Because A is not square, you cannot simply take its inverse.
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