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Korrelationskoefficient och Regressionsanalys Formler
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Korrelationskoefficient och Regressionsanalys Formler

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Questions and Answers

Vad är formeln för korrelationskoefficienten 𝑟?

  • 𝑟= (𝑛 − 1)𝑠𝑋 𝑠𝑌
  • 𝑟= 𝒂 + 𝒃𝑌
  • 𝑟= σ(𝑋 − 𝑋)(𝑌 − 𝑌) (correct)
  • 𝑟= 𝒂 + 𝒃𝑿

    • Vad är standardavvikelsen för den oberoende variabeln 𝑋?

  • 2.12 (correct)
  • 2.236
  • 5
  • 0.89

    • Vilken ekvation representerar linjen för bäst passning enligt modellen som ges i texten?

  • 𝑌=−0.94 + 0.56𝑋
  • 𝑌=0.56 - 0.94𝑋
  • 𝑌=−0.56 + 0.94𝑋 (correct)
  • 𝑌=0.94 + 0.56𝑋

    • Vad blir korrelationskoefficientens värde när den beräknas enligt formeln i texten?

    <p>0.7921</p> Signup and view all the answers

    Om 𝑋 = 7, vad blir då värdet på den beroende variabeln 𝑌 enligt modellen i texten?

    <p>-4.6</p> Signup and view all the answers

    What does the value of the correlation coefficient, 𝑟, indicate?

    <p>The relationship strength and direction between the independent and dependent variables</p> Signup and view all the answers

    If 𝑋 = 0, what would be the value of the dependent variable 𝑌 based on the model provided in the text?

    <p>𝑎</p> Signup and view all the answers

    What does it mean if the correlation coefficient 𝑟 is close to -1?

    <p>There is a perfect negative linear relationship</p> Signup and view all the answers

    What does the term 'sample standard deviation' represent in statistical analysis?

    <p>The spread of the data points around the mean</p> Signup and view all the answers

    In a linear regression model, what does the slope 𝑏 represent?

    <p>The change in the dependent variable for a unit change in the independent variable</p> Signup and view all the answers

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