asure 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 α=0.05.   Shoe Print​ (cm) 30.2 30.2 31.1 31.4 27.3   Foot Length​ (cm) 25.2 25.2

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Author:Amos Gilat
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Section 10.1

Question #9

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 α=0.05.
 
Shoe Print​ (cm)
30.2
30.2
31.1
31.4
27.3
 
Foot Length​ (cm)
25.2
25.2
27.7
26.6
25.6
 
Height​ (cm)
181.7
181.3
191.7
172.2
172.1
 
 
 
The linear correlation coefficient is r= __________.
​(Round to three decimal places as​ needed.)
 
The test statistic is t= _________.
​(Round to two decimal places as​ needed.)
 
The​ P-value is _________.
​(Round to three decimal places as​ needed.)
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