The graph which shows data whose r-value is most likely closest to the number 1 is the graph number 2.
What is the r value or correlation coefficient?
Correlation coefficient or r value is used to calculate that how strong the relationship is between the two variables.
When there is a statically relationship exist between two or more variable, then they are said to be in correlation.
The r value is always between the +1 to -1.
Total 4 graphs given in the problem.
Lets check all the graph one by one as which one gives the r-value most likely closest to 1-
- Graph 1- In the first graph the co relation between the variables is in the negative direction of the graph which leads to the negative r value. Thus the option 1 is incorrect.
- Graph 2- In the second graph the co relation between the variables is in the positive direction of the graph and all the points of regression is closer to each other. Thus the option 2 gives the r-value most likely closest to 1.
- Graph 3- In the third graph the co relation between the variables is in the negative direction of the graph which leads to the negative r value. Thus the option 3 is incorrect.
- Graph 4- In the forth graph their is no co relation between the variables as the points are scattered along the graph. Thus the option 4 is incorrect.
Thus, the graph which shows data whose r-value is most likely closest to 1 is the graph number 2.
Learn more about the r value here;
https://brainly.com/question/6836630
