A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter2) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary...

15.1 #7

Give an estimate of the average change in depression score change associated with a 1 kg/m² increase in BMI change. (Round your answer to three decimal places.)

Extracted text: A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter2) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and are approximate values read from a scatterplot in the paper. BMI Change (kg/m²) 0.5 -0.5 0.1 0.7 0.8 1.5 1.1 1 0.4 0.4 Depression Score Change -1 4 4 8. 13 14 17 18 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 6.577 + 5.440 BMI change 5.30586 20- R-Sq R-Sq (adj) 18.56% 25.96% 15 10- 5- 0- -0.5 0.0 0.5 1.0 1.5 BMI change R-sq 5.30586 25.96% Coefficients Term Сoef SE Coef T-Value P-Value VIF Constant 6.577 2.28 2.88 0.016 BMI change 5.440 2.90 1.87 0.091 1.00 Regression Equation Depression score change = 6.577 + 5.440 BMI change Depression score change