A researcher is interested in the relationship between total student debt after graduating college and depression. In order to test the hypothesis that students with more debt are more depressed, the researcher conducts a cross-sectional study that inquires about indebtedness after graduation and asks participants to complete the geriatric depression scale (GDS) test to quantify their depression on a scale of 1-15, 15 being the most depressed. The following table should be considered a SRS of participants’ responses relative to the variables of interest.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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  1. A researcher is interested in the relationship between total student debt after graduating college and depression. In order to test the hypothesis that students with more debt are more depressed, the researcher conducts a cross-sectional study that inquires about indebtedness after graduation and asks participants to complete the geriatric depression scale (GDS) test to quantify their depression on a scale of 1-15, 15 being the most depressed. The following table should be considered a SRS of participants’ responses relative to the variables of interest.
 
 

Indebtedness at Graduation ($)

Performance on GDS (1-15)

75,438

8

89,653

9

112,653

11

109,563

10

56,863

6

A) Calculate basic descriptive statistics for your predictor and outcome variables.

B) Perform a formal test addressing the correlation between your predictor and outcome variables. (Use alpha = 0.05).

C) Interpret your results.

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