Answer :
The correlation coefficient is close to 0, it would indicate that there is little to no relationship between the heights of presidents and their opponents, meaning that it's not likely that we can accurately predict an opponent's height based on the height of a president.
To predict the height of an opponent based on the height of a president who is 190 cm tall, we can use a linear regression model. However, given the provided data, it's important to first clean the data and remove any obvious errors, such as the height of 17500.
Cleaned President heights: 178, 182, 188, 175, 179, 183, 192, 182, 177, 185, 188, 188, 183, 188
Cleaned Opponent heights: 180, 180, 182, 173, 178, 182, 180, 177, 173, 188, 185, 180, 183
After calculating the linear regression using the cleaned data, you can predict the height of an opponent for a president who is 190 cm tall. However, keep in mind that there may not be a strong correlation between the heights of presidents and their opponents. To determine this, you would need to calculate the correlation coefficient (r) and analyze the significance of the relationship.
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the best predicted height for an opponent of a president who is 190 cm tall is approximately 185.5 cm.
What is height?
Height refers to the vertical measurement or distance from the base to the top of an object or person. It is commonly used to describe how tall or high something or someone is.
Given President heights: 178, 182, 188, 175, 179, 183, 192, 182, 177, 185, 188, 188, 183, 188
Given Opponent heights: 180, 180, 182, 173, 178, 182, 180, 177, 173, 188, 185, 175, 00, 180, 183
To find the best predicted height of an opponent for a president who is 190 cm tall, we can calculate the average height of the opponents who are closest in height to 190 cm.
First, let's calculate the absolute differences between the opponent heights and 190 cm:
|180 - 190| = 10
|180 - 190| = 10
|182 - 190| = 8
|173 - 190| = 17
|178 - 190| = 12
|182 - 190| = 8
|180 - 190| = 10
|177 - 190| = 13
|173 - 190| = 17
|188 - 190| = 2
|185 - 190| = 5
|175 - 190| = 15
|00 - 190| = 190
|180 - 190| = 10
|183 - 190| = 7
Next, let's sort the absolute differences in ascending order:
2, 5, 7, 8, 8, 10, 10, 10, 12, 13, 15, 17, 17, 190
We can see that the two closest heights to 190 cm are 188 cm and 183 cm, with absolute differences of 2 and 7, respectively. To determine the best predicted height, we can take the average of these two heights:
(188 + 183) / 2 = 371 / 2 = 185.5 cm
Therefore, the best predicted height for an opponent of a president who is 190 cm tall is approximately 185.5 cm.
Based on this calculation, it seems that there is a tendency for opponents' heights to be close to the height of the president, but it is not a definitive predictor. Other factors, such as individual variation and sample size, can also influence the results.
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