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# Use the following to answer the questions below:Students in a small statistics course wanted to ...

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Use the following to answer the questions below:

Students in a small statistics course wanted to investigate if forearm length (in cm) was useful for predicting foot length (in cm). The data they collected are displayed in the provided scatterplot (with regression), and the computer output from the analysis is provided.

Use three decimal places when reporting the results from any calculations, unless otherwise specified.

The regression equation is Foot (cm) = 9.22 + 0.574 Forearm (cm)

 Predictor Coef SE Coef T P Constant 9.216 4.521 2.04 0.066 Forearm (cm) 0.5735 0.1578 3.63 0.004
 Source DF SS MS F P Regression 1 44.315 44.315 13.20 0.004 Residual Error 11 36.916 3.356 ​ ​ Total 12 81.231 ​ ​ ​
Predicted Values for New Observations

 Forearm (cm) Fit SE Fit 95% CI 95% PI 28 25.274 0.513 (24.144, 26.403) (21.086, 29.461)

When conducting inference for the population slope, it is most common to test if the population slope is different from zero. However, there are other situations where a different test might be more interesting. For instance, it is often said that the length of the forearm is roughly the same as the length of the foot (see, for example, the movie Pretty Woman). What population slope is implied by this statement, and what would the hypotheses for testing the accuracy of this claim look like?
Textbook

## Statistics: Unlocking the Power of Data

Edition: 3rd
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chelzchelz
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