O A. Height (cm) 200- 160+ 25 .. Hoi He: 0 Shoe Print (cm) 35 Q The linear correlation coefficient is r=. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. O B. Height (cm) 200 160+ 25 C 35 Shoe Print (cm) Q O C. Height (cm) 200- 160+ 25 ●● Shoe Print (cm) 35 Q Q O D. Height (cm) 200- 160+ 25 .. Shoe Print (cm) 35 Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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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 = 0.05.
Shoe Print (cm)
Foot Length (cm)
Height (cm)
A.
Height (cm)
200-
160-
25
18
Shoe Print (cm)
35
30.6
26.2
181.9
30.6
25.9 27.0
174.8 188.8
The linear correlation coefficient is r =
(Round to three decimal places as needed.)
Determine the null and alternative hypotheses.
Ho: P
H₁: p
(Type integers or decimals. Do not round.)
31.0 31.4
26.1
182.1
The test statistic is t = 0.
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
B.
Height (cm)
200-
160-
25
28.2
24.6
169.5
●●●
35
Shoe Print (cm)
N
Height (cm)
C.
200-
160-
25
●●
Shoe Print (cm)
35
N
Height (cm)
D.
200-
160-
25
●●
●●
35
Shoe Print (cm)
Ly
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) A. Height (cm) 200- 160- 25 18 Shoe Print (cm) 35 30.6 26.2 181.9 30.6 25.9 27.0 174.8 188.8 The linear correlation coefficient is r = (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) 31.0 31.4 26.1 182.1 The test statistic is t = 0. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) B. Height (cm) 200- 160- 25 28.2 24.6 169.5 ●●● 35 Shoe Print (cm) N Height (cm) C. 200- 160- 25 ●● Shoe Print (cm) 35 N Height (cm) D. 200- 160- 25 ●● ●● 35 Shoe Print (cm) Ly
the significance level, there
Because the P-value of the linear correlation coefficient is
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?
OA. No, because shoe print length and height appear to be correlated.
B. Yes, because shoe print length and height appear to be correlated.
C. Yes, because shoe print length and height do not appear to be correlated.
D. No, because shoe print length and height do not appear to be correlated.
sufficient evidence to support the claim that there is a linear correlation between
Transcribed Image Text:the significance level, there Because the P-value of the linear correlation coefficient is 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? OA. No, because shoe print length and height appear to be correlated. B. Yes, because shoe print length and height appear to be correlated. C. Yes, because shoe print length and height do not appear to be correlated. D. No, because shoe print length and height do not appear to be correlated. sufficient evidence to support the claim that there is a linear correlation between
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