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A researcher is investigating the relationship between economic development (x) and level of religiosity (y) in...

A researcher is investigating the relationship between economic development (x) and level of religiosity (y) in ten countries. (The researcher has interval-level measurements for both variables.) The researcher theorizes that citizens of countries at the lower end of the development scale will profess higher levels or religiosity than will citizens of countries at the higher end of the development scale. As development increases, religiosity decreases. Draw and label four sets of axes, like the one below:

(E) Suppose the researcher finds a correlation of -.7 between the independent and dependent variables. In the fourth set of axes, show what a correlation of -.7 would look like. (Just make it look plausible. It doesn't have to be precise.)

(F) Based on a correlation of -7, the researcher concludes, "Level of economic development explains 70 percent of the variation in level of religiosity." Is this correct? Explain. (Hint: Review the difference between Pearson's r and R2.)

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