Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals....

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 alphaequals0.05. Shoe Print (cm) 30.5 29.4 30.9 33.1 27.4 Foot Length (cm) 26.5 25.8 27.1 26.4 24.9 Height (cm) 176.2 184.4 189.3 170.6 173.7

Stats

Expert Solution

The scatterplot is:

	r²	0.013
	r	-0.114
	Std. Error	8.915
	n	5
	k	1
	Dep. Var.	Height

ANOVA table
Source	SS	df	MS	F	p-value
Regression	3.1564	1	3.1564	0.04	.8548
Residual	238.4556	3	79.4852
Total	241.6120	4


Regression output				confidence interval
variables	coefficients	std. error	t (df=3)	p-value	95% lower	95% upper
Intercept	191.7090
Shoe Print	-0.4253	2.1341	-0.199	.8548	-7.2170	6.3665

The value of the linear correlation coefficient, r, is -0.114.

The P-value of r is 0.8548.

Since the p-value (0.8548) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that police can use a shoe print length to estimate the height of a male.

orchestra answered 2 years ago

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