StatTutor Lesson - Influential Observations

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Influential observations
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      Question 1

      91

      Question 1.

      For the regression line with the outlier, does the outlier have a large or a small residual?

      A.
      B.

      Incorrect. Since the vertical distance from the outlier to the regression line is small, the residual is small.
      Correct. Since the vertical distance from the outlier to the regression line is small, the residual is small.
      Incorrect. Try again.
      2

      Question 2

      124

      Question 2.

      For the regression line with the outlier, does the outlier have a large or small residual?

      A.
      B.

      Incorrect. The distance from the outlier to the regression line is quite large, so the residual is large.
      Correct. The distance from the outlier to the regression line is quite large, so the residual is large.
      Incorrect. Try again.
      2

      Question 3

      160

      Question 3.

      For the regression line with the outlier, does the outlier have a large or small residual?

      A.
      B.

      Incorrect. This outlier is a lot farther from the regression line than the other data points, so it has a large residual.
      Correct. This outlier is a lot farther from the regression line than the other data points, so it has a large residual.
      Incorrect. Try again.
      2

      Question 4

      220

      Question 4.

      True or false: Slope and y-intercept are resistant to this outlier.

      A.
      B.

      Incorrect. Since outliers affect sample means and sample standard deviations and they are used to find slope and y-intercept, slope and y-intercept are also affected by outliers.
      Correct. Since outliers affect sample means and sample standard deviations and they are used to find slope and y-intercept, slope and y-intercept are also affected by outliers.
      Incorrect. Try again.
      2

      Questions 5-7

      240

      Question 5.

      Fill in the blank: For the least squares regression line, an observation is called ______________ if removing it would markedly change the value of slope and y-intercept.

      A.
      B.
      C.

      Incorrect. This statement defines an influential point.
      Correct. This statement defines an influential point.
      Incorrect. Try again.
      2

      Applet

      263