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from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and a approximate values read from a scatterplot in the paper. BMI Change (kg/m²) 0.5 -0.5 Depression Score Change -1 The accompanying computer output is from Minitab. sion score change 15- 10- 9 5- 0 Fitted Line Plot Depression score change = 6.577 + 5.440 BMI change 20- 4 0.1 0.7 0.8 1 1.5 1.1 4 5 8 13 14 17 5.30586 S R-Sq 25.96% R-Sq (adj) 18.56% 1 18 0.4 0.4 12 14

from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and a approximate values read from a scatterplot in the paper. BMI Change (kg/m²) 0.5 -0.5 Depression Score Change -1 The accompanying computer output is from Minitab. sion score change 15- 10- 9 5- 0 Fitted Line Plot Depression score change = 6.577 + 5.440 BMI change 20- 4 0.1 0.7 0.8 1 1.5 1.1 4 5 8 13 14 17 5.30586 S R-Sq 25.96% R-Sq (adj) 18.56% 1 18 0.4 0.4 12 14

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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) Depression Score Change S = The accompanying computer output is from Minitab. Depression score change 15- 10- -0.5 S Fitted Line Plot Depression score change = 6.577 +5.440 BMI change 20- 5.30586 Coefficients T 0.0 0.5 -0.5 R-sq 25.96% - 1 Term Coef Constant 6.577 BMI change 5.440 % 0.5 BMI change 1.0 SE Coef 2.28 2.90 9 0 0.1 0.7 0.8 1 1.5 4 T-Value 2.88 1.87 Interpret this estimate. s is the typical amount by which the ---Select--- line. 4 5 Regression Equation Depression score change = 6.577 +5.440 BMI change P-Value 0.0164 0.0906 S 5.30586 25.96% R-Sq R-Sq (adj) 18.56% 8 (b) Give a point estimate of o. (Round your answer to five decimal places.) VIF 1.00 13 1.5 1.1 value ---Select--- 14 17 (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.) 1 18 0.4 0.4 12 14 what is predicted using the least squares regression (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.) ŷ =
Transcribed Image 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) Depression Score Change S = The accompanying computer output is from Minitab. Depression score change 15- 10- -0.5 S Fitted Line Plot Depression score change = 6.577 +5.440 BMI change 20- 5.30586 Coefficients T 0.0 0.5 -0.5 R-sq 25.96% - 1 Term Coef Constant 6.577 BMI change 5.440 % 0.5 BMI change 1.0 SE Coef 2.28 2.90 9 0 0.1 0.7 0.8 1 1.5 4 T-Value 2.88 1.87 Interpret this estimate. s is the typical amount by which the ---Select--- line. 4 5 Regression Equation Depression score change = 6.577 +5.440 BMI change P-Value 0.0164 0.0906 S 5.30586 25.96% R-Sq R-Sq (adj) 18.56% 8 (b) Give a point estimate of o. (Round your answer to five decimal places.) VIF 1.00 13 1.5 1.1 value ---Select--- 14 17 (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.) 1 18 0.4 0.4 12 14 what is predicted using the least squares regression (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.) ŷ =
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