Linear Regression and Geometric Interpretation Quiz

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What branch of mathematics deals with matrices and vectors?

Calculus

Linear algebra (correct)

Statistics

Geometry

In linear regression, what is the goal of Ordinary Least Squares?

Maximize the mean squared error

Fit a non-linear model

Ignore the explanatory variables

Minimize the mean squared error (correct)

What does the function to be fitted in linear regression look like?

$f(x) = \sin(x)$

$f(x) = e^x$

$f(x) = mx + c$

$f(x) = \beta_0 + \beta_1x_1 + \beta_2x_2 + ... + \beta_nx_n$ (correct)

How is the minimization problem in linear regression solved using linear algebra?

By relying on linear algebra to find the best parameter estimates Signup and view all the answers

What is the mathematical representation of linear regression in matrix form?

$Y = \beta_0 + \beta_1X_1 + \beta_2X_2 + ... + \beta_nX_n$ Signup and view all the answers

What is the goal of Ordinary Least Squares in linear regression?

To fit a linear model to the observed data Signup and view all the answers

In linear regression, what does the function to be fitted look like?

$y = \beta_0 + \beta_1x_1 + \beta_2x_2 + ... + \beta_nx_n$ Signup and view all the answers

How is the minimization problem in linear regression solved using linear algebra?

By finding the estimators that minimize the mean squared error of the model Signup and view all the answers

What branch of mathematics deals with matrices and vectors?

Linear algebra Signup and view all the answers

What is the linear algebra approach used under the hood when calling sklearn.linear_model.LinearRegression?

To find the best parameter estimates using linear algebra Signup and view all the answers

Linear Regression and Geometric Interpretation Quiz

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Questions and Answers

What branch of mathematics deals with matrices and vectors?

In linear regression, what is the goal of Ordinary Least Squares?

What does the function to be fitted in linear regression look like?

How is the minimization problem in linear regression solved using linear algebra?

What is the mathematical representation of linear regression in matrix form?

What is the goal of Ordinary Least Squares in linear regression?

In linear regression, what does the function to be fitted look like?

How is the minimization problem in linear regression solved using linear algebra?

What branch of mathematics deals with matrices and vectors?

What is the linear algebra approach used under the hood when calling sklearn.linear_model.LinearRegression?

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