Mastering Simple Linear Regression

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Questions and Answers

Which of the following is the formula for calculating the slope (b1) in simple linear regression?

  • b1-1s{b1}~t(n-2)
  • b1t(1-2;n-2)s{b1}
  • b1=Y-b1X
  • b1=(Xi-X)(Yi-Y)(Xi-X)2=SSXYSSX (correct)

What does s2 represent in simple linear regression?

  • The variance of the “residuals”
  • The estimated variance of the “residuals” (correct)
  • The standard error of the “residuals”
  • The mean of the “residuals”

Which of the following is the correct formula for calculating the margin of error in simple linear regression?

  • Margin Error = t * Standard Error * s2
  • Margin Error = t * Standard Error + s2
  • Margin Error = t * Standard Error (correct)
  • Margin Error = t * Standard Error / s2

What does s{Yh} represent in simple linear regression?

<p>The standard error of the mean response value at X = Xh (A)</p>
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What does s2{pred} represent in simple linear regression?

<p>The estimated variance of the predicted response value (A)</p>
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