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24 votes
24 votes
Which value best estimates the value for the correlation coefficient of the scatter plot shown below? 1,-0.8,-0.2,0.8, or 1

Which value best estimates the value for the correlation coefficient of the scatter-example-1
User Neil Bartlett
by
3.4k points

1 Answer

23 votes
23 votes

If we see the scatter plot, we can see that:

1. The two variables have a strong correlation.

2. Since the regression line has a negative slope, we can say that the correlation is negative.

3. It is not a perfect negative correlation since some of the points lie on the regression line.

Therefore, since the correlation coefficient must be negative, we have the following options:

1. Correlation Coefficient = -1. This is a perfect negative correlation. This is not the case (see above).

2. Correlation Coefficient = -0.2. This is a weak negative correlation. This is not the case (see explanation above).

3. Correlation Coefficient = -0.8. This correlation coefficient shows a negative and strong correlation, and this is the case the scatter plot presents.

Therefore, the value that best estimates the value for the correlation coefficient of the scatter plot is -0.8 (fourth option).

User Mariux
by
2.4k points
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