StatTutor Lesson - Confidence Interval for the Regression Slope

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      Question 1

      55

      Question 1.

      What is the best way for finding “SEb”?

      		A.
      		B.
      Correct. Using statistical software is the best way to find the value of “b” and the value of “SEb."
      Incorrect. Using statistical software is the best way to find the value of “b” and the value of “SEb."
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      Question 2

      130

      Question 2.

      True or false: The conditions for estimating slope with a confidence interval are the same as the conditions for testing slope.

      		A.
      		B.
      Correct. This is a correct statement. Both estimating slope and testing slope are inference on slope.
      Incorrect. This is a correct statement. Both estimating slope and testing slope are inference on slope.
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      Question 3

      140

      Question 3.

      True or false: Slope tells us the average change in X for a one unit increase in Y.

      		A.
      		B.
      Correct. The roles of X and Y are incorrectly interchanged. Slope tells us the average change in Y for a one unit increase in X.
      Incorrect. The roles of X and Y are incorrectly interchanged. Slope tells us the average change in Y for a one unit increase in X.
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      Question 4

      196

      Question 4.

      True or false: “SEb” is the standard error of “b," the estimated slope.

      		A.
      		B.
      Correct. This is a correct statement.
      Incorrect. This is a correct statement.
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      Question 5

      230

      Question 5.

      True or false: The degrees of freedom for t* used in the confidence interval for estimating slope are the same as the degrees of freedom for the test statistic for testing slope.

      		A.
      		B.
      Correct. Both have degrees of freedom = n – 2.
      Incorrect. Both have degrees of freedom = n – 2.
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      Question 6

      312

      Question 6.

      What does the estimated slope = 5.07 tell us?

      		A.
      		B.
      		C.
      Correct. Slope tells us the average change in Y for every one unit increase in X. For this example, X is diameter measured in inches and Y is volume of tree measured in hundred board feet. Since slope = 5.07 is positive, the change in Y is an “increase." Thus, slope tells us that for every one inch increase in tree diameter, the average increase in volume is 5.07 hundred board feet.
      Incorrect. Slope tells us the average change in Y for every one unit increase in X. For this example, X is diameter measured in inches and Y is volume of tree measured in hundred board feet. Since slope = 5.07 is positive, the change in Y is an “increase." Thus, slope tells us that for every one inch increase in tree diameter, the average increase in volume is 5.07 hundred board feet.
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