Answer Happy

A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter?) 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 0.1 0.7 0.8 1 1.5 1.1 1 0.4 0.4 Depression Score Change -1 9 4 4 5 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 20 5.30586 R-S 25.96% 15 - R-Sq (adj) 18.56% s Depression score change 10- A 5- 0- -0.5 0.0 0.5 1.0 1.5 BMI change S 5.30586 R-39 25.965 Coefficients Term. VIF Constant BMI change Coef 6.577 5.440 SE Coef 2.28 2.90 T-Value 2.88 1.87 P-Value 0.0164 0.0906 1.00 Regression Equation Depression score change = 6.577 + 5.440 BMI change (a) what percentage of observed variation in depression score change can be explained by the simple linear regression model? (Round your answer to two decimal places.) % (b) Give a point estimate of o. (Round your answer to five decimal places.) S- Interpret this estimate. s is the typical amount by which the ---Select--- value ---Select--- what is predicted using the least squares regression line. (c) 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.) (d) Calculate a point estimate of the mean depression score change for a patient whose BMI change was 1.2 kg/m2. (Round your answer to three decimal places.)