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=0.01.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter4: Writing Linear Equations
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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 α=0.01.

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 a = 0.01.
Shoe Print (cm)
Foot Length (cm)
Height (cm)
30.3
28.6
32.1
32.2
26.9
24.7
24.7
27.7
27.7
25.4
180.1
177.9
191.4
173.6
174.8
Construct a scatterplot. Choose the correct graph below.
А.
В.
OC.
D.
200-
200-
200-
200-
160-
160-
160-
160-
25
Shoe Print (cm)
35
25
35
25
35
25
Shoe Print (cm)
35
Shoe Print (cm)
Shoe Print (cm)
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
(Type integers or decimals. Do not round.)
The test statistic is t=
(Round to two decimal places as needed.)
Height (cm)
Height (cm)
Height (cm)
Height (cm)
Transcribed Image Text: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 a = 0.01. Shoe Print (cm) Foot Length (cm) Height (cm) 30.3 28.6 32.1 32.2 26.9 24.7 24.7 27.7 27.7 25.4 180.1 177.9 191.4 173.6 174.8 Construct a scatterplot. Choose the correct graph below. А. В. OC. D. 200- 200- 200- 200- 160- 160- 160- 160- 25 Shoe Print (cm) 35 25 35 25 35 25 Shoe Print (cm) 35 Shoe Print (cm) Shoe Print (cm) The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) Height (cm) Height (cm) Height (cm) Height (cm)
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