Police sometimes measure shoe prints at crime scenes so that they can leam 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 coefficientr, and find the P-value of r. Deternine whether there is sufficient evidence to support a daim 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) 25 3 Height (can) 29.5 29.5 24.7 179.1 31.0 272 185 4 28.1 3 27.3 25.7 171.6 170.7 31.3 171.8 OA. OB. OC. OD. 200- 200- 200 200 160 25 160 25 Shoe Print (om) 160 35 Shoe Print (am) 160 25 35 25 Shoe Print (om) 35 35 Shoe Print (cm) The linear correlation coefficient is r= (Round to three decimal places as needed) Determine the null and alternative hypotheses. Họ P I H, P (Type integers or decimals. Do not round) The test statistic is t= Height (em)

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Police sometimes measure shoe prints at crime scenes so that they can leam 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. Deterrnine 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)
29.5
29.5
31.0
27 2
28.1 D
25.7
31.3
25.3
24.7
27.3
171.8
179.1
185.4
171.6
170.7
.....
O A.
OB.
C.
OD.
200-
200-
200-
200-
160
160
25
Shoe Print (om)
160
25
Shoe Print (cm)
160
25
Shoe Print (om)
35
35
35
25
Shoe Print (om)
35
The linear correlation coefficient is r=|
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho P
H, P
(Type integers or decimals. Do not round.)
The test statistic is t=
(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
V the significance level, there
V 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?
O A. No, because shoe print length and height appear to be correlated.
O B. No, because shoe print length and height do not appear to be correlated.
O C. Yes, because shoe print length and height appear to be correlated.
O D. Yes, because shoe print length and height do not appear to be correlated.
Transcribed Image Text:Police sometimes measure shoe prints at crime scenes so that they can leam 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. Deterrnine 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) 29.5 29.5 31.0 27 2 28.1 D 25.7 31.3 25.3 24.7 27.3 171.8 179.1 185.4 171.6 170.7 ..... O A. OB. C. OD. 200- 200- 200- 200- 160 160 25 Shoe Print (om) 160 25 Shoe Print (cm) 160 25 Shoe Print (om) 35 35 35 25 Shoe Print (om) 35 The linear correlation coefficient is r=| (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho P H, P (Type integers or decimals. Do not round.) The test statistic is t= (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 V the significance level, there V 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? O A. No, because shoe print length and height appear to be correlated. O B. No, because shoe print length and height do not appear to be correlated. O C. Yes, because shoe print length and height appear to be correlated. O D. Yes, because shoe print length and height do not appear to be correlated.
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