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Inferences about the slope of the regression line

Inferences about the slope of the regression line. Section 13.2. Slope. Average or expected change in the y (dependent) variable associated with a 1-unit increase in the x (independent) variable b is the point estimate of. Properties of the Sampling Distribution of b.

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Inferences about the slope of the regression line

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  1. Inferences about the slope of the regression line Section 13.2

  2. Slope • Average or expected change in the y (dependent) variable associated with a 1-unit increase in the x (independent) variable • b is the point estimate of

  3. Properties of the Sampling Distribution of b • It’s normally distributed

  4. So….. • Estimated standard deviation of b: • Test Statistic: (df=n -2)

  5. Confidence Interval for • (small) implies that the interval is narrow which means there’s relatively precise knowledge of

  6. Is cardiovascular fitness related to an athlete’s performance. 95% confident that the true average decrease in ski time associated with a 1 min. increase in treadmill time is between 1 and 3 minutes.

  7. Hypothesis Test Why do you think we use 0?

  8. Is there a negative association between treadmill time and ski time? Reject the Ho. There is sufficient evidence to support the claim that there is a negative association between treadmill time & ski time.

  9. Is a runner’s speed related to their steps per second?90% confidence interval

  10. Is there relationship between a runner’s speed & their average # of steps per second?

  11. Leaning Tower of PisaFind a 90% confidence interval.

  12. Leaning Tower of PisaTest to see if there’s a positive relationship between the year and the amount of leaning.

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