Parabolic Method of Least Squares Quiz
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Questions and Answers

In the equation 𝑌𝑡 = 𝑎 + 𝑏𝑋 + 𝑐𝑋², what does the term 𝑐𝑋² represent?

  • Exponential term
  • Linear term
  • Quadratic term (correct)
  • Cubic term

What type of trend does the parabolic method of least square fit?

  • Linear trend
  • Curvilinear trend (correct)
  • Exponential trend
  • Logarithmic trend

What is the general form of the equation used to obtain a parabolic curve of second degree?

  • 𝑌𝑡 = 𝑎 + 𝑏𝑋
  • 𝑌𝑡 = 𝑎 + 𝑏𝑋 + 𝑐𝑋² (correct)
  • 𝑌𝑡 = 𝑎 + 𝑏𝑋 + 𝑐𝑋² + 𝑑𝑋³
  • 𝑌𝑡 = 𝑎 + 𝑏𝑋 + 𝑐𝑋³

What is the name for the parabola obtained when the equation is carried up to the 3rd power of X?

<p>Parabola of 3rd degree (C)</p> Signup and view all the answers

What type of equation is determined in the parabolic method of least square?

<p>Power series equation (D)</p> Signup and view all the answers

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