Testing a Claim about the Slope of a Least-Squares Regression Line (Lesson 11.6)
Chapter 11 - Day 8
Learning Targets
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State hypotheses for performing a significance test about the slope of a least-squares regression line.
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Calculate the standardized test statistic and P-value for a significance test about the slope of a least-squares regression line.
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Use the four-step process to perform a significance test about the slope of a least-squares regression line.
Experience First
In Lesson 11.5 we calculated and interpreted a confidence interval for slope. In Lesson 11.6 we test a claim made about slope (using the same context and data from the last lesson).
Students will use the Linear regression t test applet (part of the Traditional Inference applets at www.statsmedic.com/applets). Students will not need to check conditions for inference, as this work was done in the previous lesson.
Formalize Later
Even though students checked the conditions in the previous lesson, we suggest using the debrief to remind them of the four conditions: Random, Normal, Linear, and Equal SD. You may also review how to check each of these conditions using the graphs provided in the applet.
In the conclusion for the significance test, remind students that we can do more than simply saying "there is a negative association between row number and test score." Because there was random assignment with an experiment, we can say that we have convincing evidence that moving to a row farther back causes test scores to decrease.
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Enjoy summer!
-Luke and Lindsey