3. [-16 Points] DETAILS PODSTAT6 13.1.009.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A paper gives data on x = chang

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3 16 Points Details Podstat6 13 1 009 Mi My Notes Ask Your Teacher Practice Another A Paper Gives Data On X Chang 1 (57.62 KiB) Viewed 18 times

3. [-16 Points] DETAILS PODSTAT6 13.1.009.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 wha participated in a pulmonary rehabilitation program. The table below contains a subset of the date given in the paper and are approximate values read from a scaller plot in the paper BMI Change (ku/m?) 0.5 -0.50 0.1 0.7 0.8 1 1.5 1.2 1 0.4 0.1 Depression Score Change -1 9 4 5 5 13 14 17 16 12 14 The accompanying computer output is from Minitab 20- Fitted Line Plot Depression score change = 6.512 + 5.472 BMI change 5.26270 R-S4 27.16% 15 RS (adj) 19.88 : 10 . 5- 0- . -0.5 0.0 0.5 1.0 1.5 TIMI change 0 R- 5.26270 27.165 Coeficients Talue VTT Тети Colt TMT change Com €.312 5.472 33 Coet 2.28 2.1 0.016 0.02 1. 1.00 Regression Eston DLC220 EW - 6.512 - 5.472 h (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) 9 (b) Give a point estimate of o. (Round your answer ta five decimal places.) Interpret this estimate s is the typical amount by which the Sec 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/m? (Round your answer to three decimal places.) -