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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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