StatTutor Lesson - Introduction to Chapter 24: Inference for Regression

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Introduction Chapter 24
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      Questions 1-2

      102

      Question 1.

      True or false: Testing “Is there a linear relationship between X and Y?” is equivalent to testing “Can X be used to predict Y?”.

      A.
      B.

      Correct. If there is a linear relationship between X and Y, then X can be used to predict Y.
      Incorrect. If there is a linear relationship between X and Y, then X can be used to predict Y.
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      Question 3

      136

      Question 3.

      What is the explanatory variable in this study being conducted by the forest service official?

      A.
      B.
      C.
      D.

      Correct. The forest service official wants to know if she can use diameter of a tree to predict its volume of wood. Thus, diameter of a tree is the explanatory or predictor variable.
      Incorrect. The forest service official wants to know if she can use diameter of a tree to predict its volume of wood. Thus, diameter of a tree is the explanatory or predictor variable.
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      Question 4

      162

      Question 4.

      On the basis of the scatterplot, what type of relationship exists between diameter and volume of wood?

      A.
      B.
      C.
      D.
      E.

      Correct. The cloud of data appears linear, a line drawn through the cloud of data would have positive slope, and since the cloud of data is close to the line, the strength is “strong."
      Incorrect. The cloud of data appears linear, a line drawn through the cloud of data would have positive slope, and since the cloud of data is close to the line, the strength is “strong."
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      Question 5

      184

      Question 5.

      What is the sum of squared residuals for the least squares line?

      A.
      B.
      C.
      D.
      E.
      F.

      Correct. The smallest sum of squared residuals is 524.3.
      Incorrect. The smallest sum of squared residuals is 524.3.
      2
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      Question 6

      222

      Question 6.

      What is the value of slope for this least-squares regression line?

      A.
      B.
      C.
      D.
      E.
      F.
      G.

      Correct. The value of slope is b = 5.066.
      Incorrect. The value of slope is b = 5.066.
      2
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      Question 7

      283

      Question 7.

      What do we need in order to test whether the least-squares regression line is useful for prediction?

      A.
      B.
      C.
      D.

      Correct. We need a P-value to perform a test.
      Incorrect. We need a P-value to perform a test.
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      Question 8

      335

      Question 8.

      True or false: If the test on whether X can be used to predict Y is significant, then any prediction made using the least-squares regression line will not have any error.

      A.
      B.

      Correct. Since we will discuss how to construct an interval estimate of a prediction, that prediction must have error.
      Incorrect. Since we will discuss how to construct an interval estimate of a prediction, that prediction must have error.
      2
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