Question

police sometimes measure a shoe print, foot length, and height of males to help determine if they can learn something about criminals. listed below are shoe print lengths (cm), foot lengths (cm), and heights (cm) 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 a shoe print length appear to be a good predictor of the height of a male? (use a significance level of α = 0.01) shoe print (cm) foot length (cm) height (cm) 30.4 25.3 172.6 30.4 25.4 183.5 31.1 27.5 182.3 31.5 26.3 181.7 27.2 25.1 169.5 construct a scatterplot. choose the correct graph below. a. image of scatterplot a b. image of scatterplot b c. image of scatterplot c d. image of scatterplot d

Explanation:

Step1: Identify Variables and Data Points

We have three variables: Shoe Print (cm), Foot Length (cm), and Height (cm). The data points are:

• (30.4, 25.3, 172.6)
• (30.4, 25.4, 183.5)
• (31.1, 27.5, 182.3)
• (31.5, 26.3, 181.7)
• (27.2, 25.1, 159.5)

We need to plot these points on a scatterplot with Foot Length (x - axis) and Height (y - axis) (or check which graph matches).

Step2: Analyze the Coordinates

Let's list the (Foot Length, Height) pairs:

• (25.3, 172.6)
• (25.4, 183.5)
• (27.5, 182.3)
• (26.3, 181.7)
• (25.1, 159.5)

Now, check the graphs:

• Graph A: Let's see the x - values (Foot Length) and y - values (Height). The points should match the above coordinates.
• Graph B: Has a green point which is an outlier or incorrect.
• Graph C: The x - y distribution doesn't match the data.
• Graph D: The x - y distribution is incorrect.

Looking at the data, the correct scatterplot should have points with Foot Length around 25 - 27.5 and Height around 159 - 183. The first graph (Graph A) matches the distribution of these points.

Answer:

A. The graph labeled A (the first graph)