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Problem Set 1: Linear Regression Analysis

Research Scenario: A cognitive psychologist is interested in the Dunning-Kruger effect, the phenomenon in which people often rate their cognitive skills as being greater than they really are. He recruits a sample of 17 undergraduate students who are near the end of an entry-level macroeconomics course at his university. The students are asked to take a test worth 100 points, on which most material is based on upper-level economics concepts (in other words, it’s hard!). Once they finish the test, the students are asked to rate their proficiency level in economics on a scale of 1-10, where higher ratings indicate higher self-perceived proficiency in economics. The question at stake is whether the students’ proficiency level self-ratings predict their actual performance on a difficult economics test.

Using this table, enter the data into a new SPSS data file and run a linear regression analysis to test whether proficiency level self-ratings predict scores on an economics test. Create a scatterplot with a regression line to show the relationship between the variables.

If you’d like, when you’re done, check out this TedEd video on the Dunning-Kruger effect:

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