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 alpha equals 0.01. a. Construct a scatterplot.  b. The linear correlation coefficient is r=  ​(Round to three decimal places as​ needed.)   c.  Determine the null and alternative hypotheses.   Upper H 0​: rho   Upper H 1​: rho (Type integers or decimals. Do not​ round.)   d. The test statistic is t equals ​(Round to two decimal places as​ needed.)   e. The​ P-value is ​(Round to three decimal places as​ needed.)   f. Based on these​ results, does it appear that police can use a shoe print length to estimate the height of a​ male?(choose one correct letter)     A.No​,because shoe print length and height do not appear to be correlated.   B.No ​,because shoe print length and height appear to be correlated.   C.Yes, because shoe print length and height do not appear to be correlated.   D. Yes, because shoe print length and height appear to be correlated.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 alpha equals 0.01.

a. Construct a scatterplot. 

b. The linear correlation coefficient is r= 

​(Round to three decimal places as​ needed.)
 
c.  Determine the null and alternative hypotheses.
 
Upper H 0​: rho
 
Upper H 1​: rho
(Type integers or decimals. Do not​ round.)
 
d. The test statistic is
t equals
​(Round to two decimal places as​ needed.)
 
e. The​ P-value is
​(Round to three decimal places as​ needed.)
 
f. Based on these​ results, does it appear that police can use a shoe print length to estimate the height of a​ male?(choose one correct letter)
 
 
A.No​,because shoe print length and height do not appear to be correlated.
 
B.No ​,because shoe print length and height appear to be correlated.
 
C.Yes, because shoe print length and height do not appear to be correlated.
 
D. Yes, because shoe print length and height appear to be correlated.
 
 
Shoe Print (cm)
Foot Length (cm)
Height (cm)
28.9
28.9
31.0
31.5
26.7
26.2
24.7
27.0
25.7
24.9
179.6
183.9
179.1
171.1
173.4
Transcribed Image Text:Shoe Print (cm) Foot Length (cm) Height (cm) 28.9 28.9 31.0 31.5 26.7 26.2 24.7 27.0 25.7 24.9 179.6 183.9 179.1 171.1 173.4
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