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) Foot Length (cm) 30.8 25.9 30.8 24.6 30.9 27.7 31.4 26.8 26.3 25.8 Height (cm) 168.8 182.5 191.2 168.5 166.7 The linear correlation coefficient is r = 0.402. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁p = 0 0 (Type integers or decimals. Do not round.). The test statistic is t = (Round to two decimal places as needed.) 5
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) Foot Length (cm) 30.8 25.9 30.8 24.6 30.9 27.7 31.4 26.8 26.3 25.8 Height (cm) 168.8 182.5 191.2 168.5 166.7 The linear correlation coefficient is r = 0.402. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁p = 0 0 (Type integers or decimals. Do not round.). The test statistic is t = (Round to two decimal places as needed.) 5
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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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 α = 0.05.
Shoe Print (cm)
Foot Length (cm)
30.8
25.9
30.8
24.6
30.9
27.7
31.4 26.8
26.3
25.8
Height (cm)
168.8 182.5 191.2
168.5 166.7
The linear correlation coefficient is r = 0.402.
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
H₁p
=
0
0
(Type integers or decimals. Do not round.).
The test statistic is t =
(Round to two decimal places as needed.)
5
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