Which of the following correlation coefficients indicates the strongest relationship?

Video Transcript

This question asks us, And the following correlation coefficient indicates the strongest relationship between two variables. So we have it is negative 0.9, So we have negative .5 A positive .8 And a positive .25. So yes, that's what our strongest relationship is. It doesn't ask if it's positive or negative, just the strongest ones, and we know that a correlation coefficient can go from one, two negative one, so which everyone is going to be closest to a wine is going to be correct. So with that we can go with negative .9 is going to be our strongest, so a.

Before you begin the correlations exercises, here is a quick review:

1. Positive correlation - high variables of one variable are associated with high values of the other; low values of one variable are associated with low values of the other
2. Negative correlation - high values of one variable are associated with low values of the other
3. Uncorrelated - a correlation coefficient of zero would mean there is no relationship between the variables

1. Possible range of correlation coefficients is -1 to +1
1. -1 ==> a strong negative relationship
2. +1 ==> indicated a strong positive relationship
3. 0 ==> indicated no relationship
2. The closer to either +1 or -1, the stronger the relationship
3. The closer to 0, the weaker the relationship

1. -0.8
2. +0.5
3. +0.7
4. -0.2

1. -0.9
2. +0.8
3. -0.2
4. +0.1

1. The strongest correlation is -0.8. Remember, the number indicates the strength of the relationship. The sign just indicated the direction. Sign does not indicate strength.

2. The weakest correlation is +0.1.

3. This is a negative correlation. As alcohol consumption increases, grade decreases. They each move in a different direction: as one goes up, the other goes down.

4. This is a positive correlation: both variables are moving in the same direction. As cholesterol consumption decreases, heart attacks decrease.

5. Positive correlation - they are both moving in the same direction. As years of marriage increase, opinion similarity also increases.

6. Trick question! Ha Ha! There is no relationship. (Sorry, had to thrown one in).

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Solution

The correct option is B -0.86The value of the correlation coefficient lies between -1 and 1. Values closer to 1, irrespective of sign, indicate a stronger relationship, while the sign indicates the direction. From the given numbers, 0.86 is the closest number to 1 and hence has the strongest correlation.

Which correlation coefficient represents the strongest relationship?

How do you determine the strongest correlation?