MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

10.3

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) Height (cm) Height (cm) Construct a scatterplot. Choose the correct graph below. O A. 200- 160+ 25 H Shoe Print (cm) 33.1 30.7 30.7 32.7 25.0 26.0 27.7 26.6 173.8 174.8 184.1 179.2 35 B. 200- 160+ 25 The linear correlation coefficient is r = 0. (Round to three decimal places as needed) ● Shoe Print (cm) 35 27.9 24.7 169.2 200- 160+ 25 Shoe Print (cm) 35 200- 160+ 25 € ● Shoe Print (cm) 35
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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) Height (cm) Height (cm) Construct a scatterplot. Choose the correct graph below. O A. 200- 160+ 25 H Shoe Print (cm) 33.1 30.7 30.7 32.7 25.0 26.0 27.7 26.6 173.8 174.8 184.1 179.2 35 B. 200- 160+ 25 The linear correlation coefficient is r = 0. (Round to three decimal places as needed) ● Shoe Print (cm) 35 27.9 24.7 169.2 200- 160+ 25 Shoe Print (cm) 35 200- 160+ 25 € ● Shoe Print (cm) 35
Determine the null and alternative hypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) The test statistic is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is the significance level, there claim that there is a linear correlation between shoe print lengths and heights of males. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? O A. Yes, because shoe print length and height do not appear to be correlated. B. No, because shoe print length and height appear to be correlated. OC. Yes, because shoe print length and height appear to be correlated. O D. No, because shoe print length and height do not appear to be correlated. sufficient evidence to support the
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Transcribed Image Text:Determine the null and alternative hypotheses. Ho: P H₁: P (Type integers or decimals. Do not round.) The test statistic is (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is the significance level, there claim that there is a linear correlation between shoe print lengths and heights of males. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? O A. Yes, because shoe print length and height do not appear to be correlated. B. No, because shoe print length and height appear to be correlated. OC. Yes, because shoe print length and height appear to be correlated. O D. No, because shoe print length and height do not appear to be correlated. sufficient evidence to support the
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Step 1: Write the given information.
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Step 2: Construct the scatter plot using the given data.
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Step 3: Determine the linear correlation for the shoe print and height of a male.
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Step 4: Perform hypothesis test for significance of linear correlation coefficient.
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