Which scatterplot has a correlation coefficient closest to r = –1?

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Question:

Which scatterplot has a correlation coefficient closest to r = –1?

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Answer:

The last scatterplot (option D) has a correlation coefficient closest to r = -1.

What is correlation coefficient?

  • The correlation coefficient describes how one variable moves in relation to another.
  • A positive correlation coefficient indicates that the two move in the same direction.
  • A negative correlation coefficient tells you that they instead move in opposite directions.
  • A correlation coefficient of zero suggests no correlation at all.
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For given situation,

When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.

i.e., it must have negative correlation coefficient.

If we observe the last scatterplot i.e., option (D), then it must have negative correlation coefficient.

Therefore, the correct answer is option (D)

Learn more about a correlation coefficient here:

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