Independent Samples T Test 95 Confidence Interval Statistic df P Mean difference SE difference Lower Upper Effect Size PHQ9 total Student's t 1 049 260 0 295 0 973 0 927 0 853 2 80 Cohen's d 0 1543 BMI age Student's t 0 280 Student's t 1 149 288 0 780 0 225 0 805 1 809 1 36 Cohen's d 0 0392 289 0 252 2 266 1 973 6 149 1 62 Cohen's d 0 1608 Note Ha Alone With other(s) From the table above we can see there are no significant differences between physical activity 150mins and 3 150 Needs to be less the 0 05 to be statistically significant The confidence intervals above display they are negative on the lower and positive on the upper, so they include zero, for all variables this is consistent with all results not being statistically significant Cohen's d effect sizes are rather small Assumptions Normality Test (Shapiro Wilk) W PHQ9 total 0 983 0 003 BMI 0 993 0 159 age 0 997 0 857 Note A low p value suggests a violation of the assumption of normality Shapiro Wilk test indicates living situation and PHQ9 total indicate a violation of the assumption of normality BMI and age met the assumption of normality Homogeneity of Variances Test (Levene's) F df df2 PHQ9 total 1 018 1 260 0 314 BMI 0 448 1 288 0 504 age 1 008 1 289 0 316 Note A low p value suggests a violation of the assumption Plots 8 BMI BMI PHQ9 total 7 31 PHQ9 total 33 12 15 14 3 Alone With other(s) living situation With other(s) Alone living situation 9 o Mean (95 CI) Median age o Mean (95 CI) Median age 58 56 o Mean (95 CI) 54 Median 52 Alone With other(s) living situation Above displays a lot of overlap between living situation and several outcome variables being PHQ9 total, BMI and age Descriptives Examining descriptives to investigate how well the variables meet the assumptions of a t test Comparing means 1 point, 1 2 point and 2 point difference they vary Descriptives living situation PHQ9 total BMI age N Alone 202 224 225 With other(s) 60 66 66 Missing Alone 30 8 7 With other(s) 8 2 2 Mean Alone 14 0 31 6 52 6 With other(s) 13 1 31 9 54 8 Median Alone 15 0 31 0 53 With other(s) 12 0 31 5 54 5 Standard deviation Alone 6 14 5 63 14 2 With other(s) 6 83 6 13 13 7 Minimum Alone 0 00 17 18 With other(s) 2 00 16 17 Maximum Alone 27 0 49 92 With other(s) 27 0 51 96 INDEPENDANT SAMPLES T TEST Descriptives Descriptives physical activity moderate intensity PHQ9 total BMI age N 150 minutes week 219 238 239 150 minutes week 43 51 51 Missing 150 minutes week 27 8 7 150 minutes week 10 2 2 Mean 150 minutes week 14 4 31 7 150 minutes week 10 3 31 8 53 3 Median 150 minutes week 15 0 31 0 150 minutes week 10 0 31 Standard deviation 150 minutes week 6 23 5 40 14 2 150 minutes week 5 89 7 05 14 4 Minimum 150 minutes week 0 00 16 150 minutes week 0 00 17 17 Maximum 150 minutes week 27 0 51 150 minutes week 25 0 45 8 8 17 PHQ9 total 4B 10 20 1A 1B 4A Plots PHQ9 total Plots 20 10 Normalish Similar distributions PHQ9 total living situation Alone With other(s) 0 10 20 30 PHQ9 total 0 Alone With other(s) living situation PHQ9 total physical activity moderate intensity 150 minutes week 2A 2B BMI BMI living situation Alone With other(s) 10 20 20 50 146 110 40 30 56 20 248 Alone 5A physical activity moderate intensity 150 minutes week 10 20 30 PHQ9 total 5B 0 150 minutes week 150 minutes week physical activity moderate intensity BMI 150 minutes week 30 3A age living situation Alone With other(s) 25 50 75 15 age 40 50 3B BMI living situation 42 With other(s) physical activity moderate intensity 150 minutes week 10 20 30 40 8 50 BMI 50 42 40 30 20 20 56 293 150 minutes week 150 minutes week physical activity moderate intensity age age 75 50 60 25 age physical activity moderate intensity 75 50 25 25 6A Alone 150 minutes week 150 minutes week 6B living situation 100 82 168 With other(s) 30 60 90 age 82 150 minutes week 150 minutes week physical activity moderate intensity

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Independent Samples T-Test 95% Confidence Interval Statistic df P Mean difference SE difference Lower Upper Effect Size PHQ9_total Student's t 1.049 260 0.295 0.973

Independent Samples T-Test 95% Confidence Interval Statistic df P Mean difference SE difference Lower Upper Effect Size PHQ9_total Student's t 1.049 260 0.295 0.973 0.927 -0.853 2.80 Cohen's d 0.1543 BMI age Student's t -0.280 Student's t -1.149 288 0.780 -0.225 0.805 -1.809 1.36 Cohen's d -0.0392 289 0.252 -2.266 1.973 -6.149 1.62 Cohen's d -0.1608 Note. Ha Alone With other(s) From the table above we can see there are no significant differences between physical activity

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