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)75,438889,6539112,65311109,5631056,8636A) 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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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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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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