Answer :
Final answer:
The correlation coefficient, represented by 'r', measures the strength and direction of the linear relationship between two variables. By observing the scatter plot, one can determine whether the correlation coefficient is positive, negative, or non-existent.
Explanation:
The correlation coefficient, denoted by 'r', provides a measure for the strength and direction of a linear relationship between two variables, in this case, X and Y. The value of 'r' ranges between -1 and +1.
A positive correlation (0 < r < 1) indicates that both variables increase or decrease together, as in when the value of X increases, the value of Y also increases. Therefore, the points on the scatter plot would generally ascend from left to right.
On the other hand, a negative correlation (-1 < r < 0) suggests that the variables behave oppositely, meaning if X increases, Y decreases and vice versa. Hence, the scatter plot's points would tend to descend from left to right.
If there is no correlation (r = 0) between the variables, X and Y changes are not related, and the points on the scatter plot do not follow a clear linear pattern.
To match the correct correlation coefficient to a scatter diagram, you need to observe the pattern of the points. If they rise from left to right, it's a positive correlation. If they fall from left to right, it's a negative correlation. If there is no recognizable pattern, it's likely there is zero correlation.
Learn more about correlation coefficient here:
https://brainly.com/question/33643115
#SPJ11
