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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 a = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) Height (cm) I H||||| ▬▬▬ 160- ♥ 25 I • 30.1 25.7 179 35 Shoe Print (cm) Q 30.1 32.4 32.8 25.1 27.5 27.1 176.9 187.3 170.8 The linear correlation coefficient is r = 0.495. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P = 0 H₁: P# 0 (Type integers or decimals. Do not round.) The test statistic is t= 0.99. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Height (cm) ==== 160+ 25 27.9 D 24.6 167.2 OP 1 • 35 Shoe Print (cm) Q *** 160- . 25 35 Shoe Print (cm) RO Height (cm) 160- 25 C TE 11 35 Shoe Print (cm) Q

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 = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) Height (cm) I H||||| ▬▬▬ 160- ♥ 25 I • 30.1 25.7 179 35 Shoe Print (cm) Q 30.1 32.4 32.8 25.1 27.5 27.1 176.9 187.3 170.8 The linear correlation coefficient is r = 0.495. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P = 0 H₁: P# 0 (Type integers or decimals. Do not round.) The test statistic is t= 0.99. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Height (cm) ==== 160+ 25 27.9 D 24.6 167.2 OP 1 • 35 Shoe Print (cm) Q *** 160- . 25 35 Shoe Print (cm) RO Height (cm) 160- 25 C TE 11 35 Shoe Print (cm) Q

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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 14CR
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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 a = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) Height (cm) 160- 25 Shoe Print (cm) 30.1 25.7 179 35 0 30.1 32.4 32.8 25.1 27.5 27.1 176.9 187.3 170.8 The linear correlation coefficient is r= 0.495 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p = H₁: P 0 (Type integers or decimals. Do not round.) The test statistic is t = 0.99. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Height (cm) 160- 25 27.9 24.6 167.2 D 35 Shoe Print (cm) Q Q *** Height (cm) 160+ 25 . Shoe Print (cm) 35 Q Height (cm) 160- 25 11 Shoe Print (cm) 35
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 = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) Height (cm) 160- 25 Shoe Print (cm) 30.1 25.7 179 35 0 30.1 32.4 32.8 25.1 27.5 27.1 176.9 187.3 170.8 The linear correlation coefficient is r= 0.495 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p = H₁: P 0 (Type integers or decimals. Do not round.) The test statistic is t = 0.99. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Height (cm) 160- 25 27.9 24.6 167.2 D 35 Shoe Print (cm) Q Q *** Height (cm) 160+ 25 . Shoe Print (cm) 35 Q Height (cm) 160- 25 11 Shoe Print (cm) 35
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