Question

the table provided below shows paired data for the heights of a certain countrys presidents and their main opponents in the election campaign. construct a scatterplot. does there appear to be a correlation? click the icon to view the data table for election heights. construct a scatterplot. choose the correct graph below. does there appear to be a correlation between the presidents height and his opponents height? a. yes, there appears to be a correlation. as the presidents height increases, his opponents 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 presidents height increases, his opponents height increases. d. no, there does not appear to be a correlation because there is no general pattern to the data.

Explanation:

Step1: Analyze scatter - plot for pattern

Examine the distribution of points in the scatter - plot. If the points seem to follow a linear or non - linear trend, there is a correlation. If they are randomly scattered, there is no correlation.

Step2: Evaluate each option

Option A implies a negative linear correlation. Option B is about the relationship between height and winning, not the correlation between president's and opponent's height. Option C implies a positive linear correlation. Option D states no correlation due to random data distribution. Looking at the scatter - plot, if the points are randomly scattered, we can conclude there is no correlation.

Answer:

D. No, there does not appear to be a correlation because there is no general pattern to the data.