Dr. Li is interested in creating a measurement of religiosity. According to the dictionary, religiosity is "the quality of being religious; piety; devoutness." He creates a measure comprising 10 statements. People respond to each statement using the following scale (1 = strongly disagree, 3 = neither agree nor disagree, 5 = strongly agree). Some of the statements are below.
Statement 1: "I believe in a religion."
Statement 2: "Part of who I am stems from my religious beliefs."
Statement 3: "I believe that religion is unnecessary."
Dr. Li gives his new measure to a group of 100 adults in order to test the internal validity of his measure. Draw two scatterplots: one that demonstrates the likely relationship between Statements 1 and 2 and one that demonstrates the likely relationship between Statements 1 and 3. Explain why you have drawn each scatterplot as you have.
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