Question
Depression Anxiety 79 80 87 97 95 85 93 85 86 94 96 94 95 94 98 76 84 61 97 97 97 97 97
Depression | Anxiety |
79 | 80 |
87 | 97 |
95 | 85 |
93 | 85 |
86 | 94 |
96 | 94 |
95 | 94 |
98 | 76 |
84 | 61 |
97 | 97 |
97 | 97 |
97 | 88 |
100 | 97 |
89 | 94 |
94 | 88 |
98 | 97 |
Continued | |
98 | 94 |
94 | 7 |
89 | 94 |
93 | 82 |
83 | 79 |
90 | 97 |
88 | 100 |
84 | 91 |
93 | 94 |
86 | 94 |
84 | 88 |
88 | 94 |
92 | 94 |
95 | 89 |
95 | 79 |
83 | 76 |
Complete Exercise 1: Perform the appropriate test and provide a narrative write up for the Depression and Anxiety analysis. Remember, state the statistical and practical significances.
A psychologist wanted to compare clients' measured depression and anxiety scores (adjusted to the same scale of 0-100) to see if they are correlated. Are depression and anxiety correlated?
I got the below Regression summary output.
Is this answer correct?
Regressive: Psychologists were able to determine that depression and anxiety scores were weakly positively correlated, (r = .08, F [1, 30] = 0.198, p < 0.661).
Correlated: Pearson's r coefficient: (r[31] = .08, p < .0661).
SUMMARY OUTPUT | Regression Test | ||||||||
Regression Statistics | ||||||||
Multiple R | 0.080906756 | |||||||
R Square | 0.006545903 | |||||||
Adjusted R Square | -0.026569233 | |||||||
Standard Error | 17.07858668 | |||||||
Observations | 32 | |||||||
ANOVA | ||||||||
df | SS | MS | F | Significance F | ||||
Regression | 1 | 57.6563147 | 57.6563147 | 0.197671029 | 0.659798429 | |||
Residual | 30 | 8750.343685 | 291.6781228 | |||||
Total | 31 | 8808 | ||||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |
Intercept | 64.45703934 | 50.23218505 | 1.283182073 | 0.209252884 | -38.13076862 | 167.0448473 | -38.13076862 | 167.0448473 |
Depression | 0.244306418 | 0.549494519 | 0.444602102 | 0.659798429 | -0.877911103 | 1.36652394 | -0.877911103 | 1.36652394 |
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