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Which correlation coefficient below is most likely to represented on the graph

Which correlation coefficient below is most likely to represented on the graph-example-1

2 Answers

6 votes

Answer:

The correct option is D.

Explanation:

The correlation coefficient represent the relationship between two variables. It is denoted by r and the value of r lies from -1 to 1.

If r=-1 and close to -1, then it represents strong negative correlation.

If -1<r<0 and close to -0.5, then it represents weak negative correlation.

If r=0 and close to 0, then it represents no correlation.

If 0<r<1 and close to 0.5, then it represents weak positive correlation.

If r=1 and close to 1, then it represents strong positive correlation.

From the given graph it is clear than the data represents the strong positive correlation because the data set lie close to the positive strait line. So, the value of r is near to 1.

Option 1, 2 represent the negative correlation and option 3 represents weak positive correlation.

Since 0.95 close to 1, therefore it represents strong positive correlation.

Hence option D is correct.

answered
User Roperklacks
by
8.2k points
3 votes
The points shown are "almost" on a line with positive slope, so the correlation coefficient will be positive and near 1. The best choice is ...
(D) 0.95
answered
User Ragen Dazs
by
8.4k points

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