Question

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) | 30.4 30.4 31.1 31.5 27.2
foot length (cm) | 25.2 25.4 27.5 26.3 26.1
height (cm) | 172.6 181.5 182.3 181.7 168.6
because the p - value of the linear correlation coefficient is greater than the significance level, there is not 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. no, because shoe print length and height do not appear to be correlated.
○ b. no, because shoe print length and height appear to be correlated.
○ c. yes, because shoe print length and height appear to be correlated.
○ d. yes, because shoe print length and height do not appear to be correlated.

Explanation:

From the previous conclusion, there's no sufficient evidence of a linear correlation between shoe print length and male height. So, if two variables aren't correlated, we can't use one to estimate the other. Option A states "No, because shoe print length and height do not appear to be correlated," which matches this reasoning. Option B's reasoning is contradictory (says correlated but conclusion is no), C and D have wrong reasoning (C says correlated, D's "yes" with "not correlated" is illogical).

Answer:

A. No, because shoe print length and height do not appear to be correlated.