Questions: The table provided below shows paired data for the heights of a certain country's presidents and their main opponents in the election campaign. Construct a scatterplot. Does there appear to be a correlation? Does there appear to be a correlation between the president's height and his opponent's height? A. Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases. B. Yes, there appears to be a correlation. The candidate with the highest height usually wins C. Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases. D. No, there does not appear to be a correlation because there is no general pattern to the data.

The table provided below shows paired data for the heights of a certain country's presidents and their main opponents in the election campaign. Construct a scatterplot. Does there appear to be a correlation?

Does there appear to be a correlation between the president's height and his opponent's height?
A. Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases.
B. Yes, there appears to be a correlation. The candidate with the highest height usually wins
C. Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases.
D. No, there does not appear to be a correlation because there is no general pattern to the data.

Transcript text: The table provided below shows paired data for the heights of a certain country's presidents and their main opponents in the election campaign. Construct a scatterplot. Does there appear to be a correlation? Does there appear to be a correlation between the president's height and his opponent's height? A. Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases. B. Yes, there appears to be a correlation. The candidate with the highest height usually wins C. Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases. D. No, there does not appear to be a correlation because there is no general pattern to the data.

Solution

Solution Steps

Step 1: Analyze the scatterplots

We are asked to determine if there is a correlation between the president's height and their opponent's height. We are given four scatterplots. Plot A shows a positive correlation. Plot B shows no correlation. Plot C shows a negative correlation. Plot D shows no correlation.

Step 2: Choose the correct scatterplot and interpretation

The question states, "The table provided below shows paired data for the heights of a certain country's presidents and their main opponents...Construct a scatterplot." Since the table is not shown, we will rely on the answer choices to determine the correct scatterplot. Answer choice A states, "As the president's height increases, his opponent's height decreases." This describes a negative correlation. Answer choice B states, "The candidate with the highest height usually wins." This doesn't necessarily describe a correlation between the president's height and the opponent's height. Answer choice C states, "As the president's height increases, his opponent's height increases." This describes a positive correlation. Answer choice D states, "there is no general pattern," which corresponds to no correlation. The only scatterplot that shows a positive correlation is scatterplot A. Thus, answer choice C and scatterplot A align.