Question

police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. listed below are the 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. 5 shoe print (cm) foot length (cm) height (cm) 30.4 28.2 172.6 30.4 28.4 181.5 31.1 27.5 182.3 33.5 28.3 181.7 27.2 28.1 169.6 construct a scatterplot. choose the correct graph below. a b c d

Explanation:

Step1: List the data points

We have the following data for shoe print (cm), foot length (cm), and height (cm):

• (30.4, 25.2, 172.6)
• (30.4, 25.4, 181.5)
• (31.1, 27.5, 182.3)
• (33.5, 28.3, 191.7)
• (27.2, 28.1, 169.6)

We need to check the scatterplot axes. Assuming the x - axis is shoe print (cm) and y - axis is foot length (cm) (or vice - versa, but we can match the data points). Let's consider the range of shoe print: from 27.2 to 33.5, and foot length from 25.2 to 28.3.

Step2: Analyze each graph

• Graph A: Let's check the position of points. The data points should have shoe print values around 27 - 34 and foot length around 25 - 29. We can see if the points in Graph A match the data. For example, the first data point (30.4,25.2) should be in the region where x (shoe print) is ~30 and y (foot length) is ~25. The other points should also align.
• Graph B: There is a green point which is an outlier or incorrect, and the distribution of points does not match our data.
• Graph C: The range of the axes and the position of points seem to be misaligned with our data.
• Graph D: The point distribution does not match the data we have.

Looking at the data, the correct scatterplot should have points that match the (shoe print, foot length) pairs. After analyzing the ranges and the position of points, Graph A has points that are consistent with our data.

Answer:

A