Inferences about the slope of the regression line.

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Presentation transcript:

Inferences about the slope of the regression line

Slope

Properties of the Sampling Distribution of b

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

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

Hypothesis Test Why do you think we use 0?

x y Is there a negative association between treadmill time and ski time? Reject the H o. There is sufficient evidence to support the claim that there is a negative association between treadmill time & ski time.

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

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

Leaning Tower of Pisa Find a 90% confidence interval. Year Lean

Leaning Tower of Pisa Test to see if there’s a positive relationship between the year and the amount of leaning. Year Lean