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</p> Signup and view all the answers

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

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

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

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

    What branch of mathematics deals with matrices and vectors?

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

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