Question
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of =0.05.
Shoe Print (cm) | 29.4 | 29.4 | 32.2 | 32.6 | 26.5 | |
---|---|---|---|---|---|---|
Foot Length (cm) | 26.0 | 26.0 | 27.9 | 27.1 | 26.0 | |
Height (cm) | 180.3 | 175.3 | 187.7 | 180.1 | 178.5 |
Questions:
1. Construct a scatterplot.
2. The linear correlation is r= ________________ (round to three decimal place as needed.)
3. Determine the null and alternative hypotheses. H0:p _____ 0, H1:p= ________ 0
4. The test statistic is t= __________________ (round to two decimal places as needed.)
5. The P-value is _________________ (round to three decimal places as needed.)
6. Becasue the P-value of the linear correlation coefficient is ____________________ the significance level, there is _______________ sufficient evidence to support the claim that there is a linear correlation between shoe print lengths and heights of males.
7. Based on these results, does it appear that police can use a shoe sprint length to estimate the height of a male?
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