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? E Click the icon to view the data table for election heights. Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. OD. 200- = 200- 200- 200- 160 160 President's height 160- 160 160 160 160+ 160 President's height 200 200 200 President's height 200 President's height Does there appear to be a correlation between the president's height and his opponent's height? Data table for election heights O A. Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases. O B. Yes, there appears to be a correlation. The candidate with the highest height usually wins. OC. Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases. President's Opponent's President's Opponent's O beight (cm) height (cm) beiaht (cm) height (cm)

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### Analysis of Height Data in Presidential Elections

The table provided below shows paired data for the heights of a certain country’s presidents and their main opponents in the election campaign. The task is to construct a scatterplot based on this data and determine whether there appears to be any correlation.

#### Data Table for Election Heights
| President's height (cm) | Opponent's height (cm) | President's height (cm) | Opponent's height (cm) |
|-------------------------|------------------------|-------------------------|------------------------|
| 195                     | 188                    | 183                     | 179                    |
| 179                     | 174                    | 184                     | 178                    |
| 183                     | 171                    | 179                     | 187                    |
| 183                     | 180                    | 191                     | 186                    |
| 184                     | 190                    | 170                     | 169                    |
| 192                     | 170                    | 174                     | 184                    |
| 173                     | 193                    | 189                     | 176                    |
| 186                     | 193                    | 184                     | 189                    |

#### Constructing the Scatterplot
Using the data provided, we are to select the correct scatterplot from the options given below. 

| Graph A |
// Graph A shows a scatterplot with no distinct pattern, with opponent heights varying between 160 and 200 cm relative to the president's height.

| Graph B |
// Graph B shows a perfect positive correlation, where both heights increase together.

| Graph C |
// Graph C shows a scatterplot with no distinct pattern, with opponent heights varying between 160 and 200 cm relative to the president's height.

| Graph D |
// Graph D shows a strong negative correlation, where the opponent's height decreases as the president's height increases.

#### Determining the Correlation
The objective is to determine whether there is a correlation between the president's height and their opponent's height.

- **Option A:** Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases.
- **Option B:** Yes, there appears to be a correlation. The candidate with the highest height usually wins.
- **Option C:** Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases.
- **Option D:** No, there does not appear to be a correlation because
Transcribed Image Text:### Analysis of Height Data in Presidential Elections The table provided below shows paired data for the heights of a certain country’s presidents and their main opponents in the election campaign. The task is to construct a scatterplot based on this data and determine whether there appears to be any correlation. #### Data Table for Election Heights | President's height (cm) | Opponent's height (cm) | President's height (cm) | Opponent's height (cm) | |-------------------------|------------------------|-------------------------|------------------------| | 195 | 188 | 183 | 179 | | 179 | 174 | 184 | 178 | | 183 | 171 | 179 | 187 | | 183 | 180 | 191 | 186 | | 184 | 190 | 170 | 169 | | 192 | 170 | 174 | 184 | | 173 | 193 | 189 | 176 | | 186 | 193 | 184 | 189 | #### Constructing the Scatterplot Using the data provided, we are to select the correct scatterplot from the options given below. | Graph A | // Graph A shows a scatterplot with no distinct pattern, with opponent heights varying between 160 and 200 cm relative to the president's height. | Graph B | // Graph B shows a perfect positive correlation, where both heights increase together. | Graph C | // Graph C shows a scatterplot with no distinct pattern, with opponent heights varying between 160 and 200 cm relative to the president's height. | Graph D | // Graph D shows a strong negative correlation, where the opponent's height decreases as the president's height increases. #### Determining the Correlation The objective is to determine whether there is a correlation between the president's height and their opponent's height. - **Option A:** Yes, there appears to be a correlation. As the president's height increases, his opponent's height increases. - **Option B:** Yes, there appears to be a correlation. The candidate with the highest height usually wins. - **Option C:** Yes, there appears to be a correlation. As the president's height increases, his opponent's height decreases. - **Option D:** No, there does not appear to be a correlation because
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