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.   Shoe Print​ (cm) 30.3 28.6 32.1 32.2 26.9   Foot Length​ (cm) 24.7 24.7 27.7 27.7 25.4   Height​ (cm)

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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.
 
Shoe Print​ (cm)
30.3
28.6
32.1
32.2
26.9
 
Foot Length​ (cm)
24.7
24.7
27.7
27.7
25.4
 
Height​ (cm)
180.1
177.9
191.4
173.6
174.8
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.
O A.
В.
С.
O D.
200-
200-
200-
200-
160+
160+
160+
160-
35
35
35
25
Shoe Print (cm)
25
Shoe Print (cm)
25
Shoe Print (cm)
25
Shoe Print (cm)
35
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.)
Find the p-value and then fill in the blanks below:
Because the P-value of the linear correlation coefficient is
the significance level, there
sufficient evidence to support the 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?
A. Yes, because shoe print length and height do not appear to be correlated.
B. No, because shoe print length and height do not appear to be correlated.
C. No, because shoe print length and height appear to be correlated.
D. Yes, because shoe print length and height appear to be correlated.
O O
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. O A. В. С. O D. 200- 200- 200- 200- 160+ 160+ 160+ 160- 35 35 35 25 Shoe Print (cm) 25 Shoe Print (cm) 25 Shoe Print (cm) 25 Shoe Print (cm) 35 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.) Find the p-value and then fill in the blanks below: Because the P-value of the linear correlation coefficient is the significance level, there sufficient evidence to support the 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? A. Yes, because shoe print length and height do not appear to be correlated. B. No, because shoe print length and height do not appear to be correlated. C. No, because shoe print length and height appear to be correlated. D. Yes, because shoe print length and height appear to be correlated. O O Height (cm) Height (cm) Height (cm) Height (cm)
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