In: Statistics and Probability
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 of 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 this one below:
(A.) Is the researcher hypothesizing a positive correlation between x and y, a negative correlation between x and y, or no correlation between x and y? Explain.
(B). In the first set of axes you have drawn, and using a dot to represent each of the ten countries, depict a correlation of -1 between economic development and level of religiosity.
(C). In the second set of axes, depict a correlation of +1 between economic development and level of religiosity.
(D.) In the third set of axes, depict a correlation of 0 between economic development and level of religiosity.