Linear Regression and Geometric Interpretation Quiz
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Questions and Answers

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?

<p>By relying on linear algebra to find the best parameter estimates (A)</p> Signup and view all the answers

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

<p>$Y = \beta_0 + \beta_1X_1 + \beta_2X_2 + ... + \beta_nX_n$ (B)</p> Signup and view all the answers

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

<p>To fit a linear model to the observed data (A)</p> Signup and view all the answers

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

<p>$y = \beta_0 + \beta_1x_1 + \beta_2x_2 + ... + \beta_nx_n$ (A)</p> Signup and view all the answers

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

<p>By finding the estimators that minimize the mean squared error of the model (B)</p> Signup and view all the answers

What branch of mathematics deals with matrices and vectors?

<p>Linear algebra (A)</p> Signup and view all the answers

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

<p>To find the best parameter estimates using linear algebra (D)</p> Signup and view all the answers

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