Question: Is depression a possible factor in students missing classes? Two of the variables in a sleep study data set are DepressionScore, which gives a score
Is depression a possible factor in students missing classes? Two of the variables in a sleep study data set are DepressionScore, which gives a score on a standard depression scale (with higher numbers indicating greater depression), and ClassesMissed, the number of classes missed during a semester, for a sample of 253 college students. Computer output for predicting classes missed based on a linear relationship with depression score is shown below. Pearson correlation of DepressionScore and ClassesMissed = 0.154 P-Value = 0.014 The regression equation is ClassesMissed = 1.78 + 0.0831 DepressionScore Predictor Coef SE Coef T P Constant 1.7771 0.2671 6.65 0.000 DepressionScore 0.08312 0.03368 2.47 0.014 S = 3.20806 R-Sq = 2.4% R-Sq(adj) = 2.0% (a) Find the predicted value AND residual for a student with a depression score of 7 who has missed 4 classes. (b) Give an interpretation of the slope using the context of the problem. (c) What is the p-value for a test of the slope? Give a conclusion of the test using the context of the problem. (Use significance level = .05.) (d) Find a 95% confidence interval for the slope. Use StatKey to find the appropriate critical value, and include a screenshot of it in your assignment (not a bootstrap distribution). If you crop your screenshot, make sure you don't crop the degrees of freedom out. (e) Give an interpretation of 2 using the context of the problem.
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