Chapter 13: Simple Linear Regression and Correlation: Inferential Methods
Key Terms and Concepts
Estimated regression line:
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The least squares line introduced in Chapter 5 |
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The point estimate of the standard deviation , with associated degrees of freedom n-2. |
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The estimated standard deviation of the statistic b. |
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A confidence interval for the slope β of the population regression line, where the t critical value is based on (n-2) df. |
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The test statistic for testing hypotheses about β. The test is based on n-2 df. |
Notes from Mrs. Caso
All of the formulas and important information can be found in the "Key Terms & Concepts" table above.
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For a detailed explanation of the n-2 degrees
of freedom click here--> |
One note: When using the TI-84+ for a Regression Line T-test, it only
gives results for a null hypothesis of
 = 0. So, if you need to test
= 20 (for example), you'll need to do an
additional calculation. For
= value,
 . You can use the TI-84+ to obtain the t0,
and b in order to do the calculation. Then, use the t-test tables with the appropriate df
to get the P-value for your actual null hypothesis.
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Also, review the following:
Figure 13.9
Figure 13.10
Figure 13.14
Interactive Materials
- This applet shows the regression line with associated confidence and prediction intervals. It also illustrates how they change when data-points are moved by the user.
Schedule
| Timeline: | 4 days | |
| Day 135: 04/04/12 |
Against All Odds: Unit 25 | Discussion: Sections 13.1, 13.2 & 13.3 |
| Day 136: 04/05/12 |
MINITAB Lab: 12-2 | |
| Day 137: 04/09/12 |
Discussion: Exercises 13.1, 13.25, & 13.30 | Discussion: Quick review of Chapter 12 & last minute questions before the test tomorrow. |
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Day 138: 04/10/12 |
Take Test: Chapters 12 & 13 combined | |