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------------------------------------------------ For the data shown in the scatter plot, which is the best estimate of r?The answer choices are .94 .-45 .-94 .45

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Answer :

Pearson's correlation coefficient, r, measures the linear relationship between two variables. The correlation coefficient can take a range of values from +1 to -1.

• A value of 0 indicates that there is no association between the two variables.

,

• A value ,greater than 0, indicates a ,positive association., That is, as the value of one variable increases, so does the value of the other.

,

• A value ,less than 0, indicates a ,negative association,; that is, as the value of one variable increases, the value of the other decreases.

Graphically,

In this case, you can see that as the value of a variable x increases, the value of the variable y other decreases. Then, the correlation coefficient of these two variables is negative.

Also, you can see that the values of the variables do not completely fit a line but are very close to one.

Therefore, the best estimate of r is -.94.