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. 0.5 -0.50 0.1 0.7 0.8 11.5 12 1 0.4 0.4 BMI Change (kg/m²) Depression Score Change -1 6 8 13 14 16 19 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 6.598 +5.327 BMI change 20 R-SA 5.10254 27.32% R-Sq (adj) 20.06% 15- : 10- 5- -0.5 0.0 0.5 1.0 BMI change Cont ST Cont VIT 2.19 5.327 0.0012 1.00 Depression score change 8.10264 Coefficients Term Constant AMT change 1.3 -Vale P-Value 3.01 0.0132

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Author:Amos Gilat
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A paper gives data on xchange 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 -0.50
0.1 0.7 0.8
1 1.5 1.2 1 0.4 0.4
Depression Score Change -1
9
4 4
6
$
13
14
16 19 12 14
The accompanying computer output is from Minitab.
Fitted Line Plot
Depression score change = 6.598 +5.327 BMI change
20-
S
5.10254
27.32%
R-Sq
R-Sq (adj) 20.06%
15-
10-
5-
0-
-0.5
0.0
0.5 1.0 1.5
BMI change
O
S
5.10254 23.324
Coefficients
VIR
Term Cont ST Coat
Constant 6.598
AMT change
5.327
-Valle P-Value
3.01 0.0132
0.0012 1.00
2.5
Regression Equation
repression acora changa= 6.598 +5.387 5MT changa
(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.)
96
(b) Give a point estimate of a. (Round your answer to five decimal places.)
Depression score change
Transcribed Image Text:A paper gives data on xchange 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 -0.50 0.1 0.7 0.8 1 1.5 1.2 1 0.4 0.4 Depression Score Change -1 9 4 4 6 $ 13 14 16 19 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 6.598 +5.327 BMI change 20- S 5.10254 27.32% R-Sq R-Sq (adj) 20.06% 15- 10- 5- 0- -0.5 0.0 0.5 1.0 1.5 BMI change O S 5.10254 23.324 Coefficients VIR Term Cont ST Coat Constant 6.598 AMT change 5.327 -Valle P-Value 3.01 0.0132 0.0012 1.00 2.5 Regression Equation repression acora changa= 6.598 +5.387 5MT changa (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.) 96 (b) Give a point estimate of a. (Round your answer to five decimal places.) Depression score change
BMI change
S
R-sq
5.10254 27.32%
Coefficients.
Term
VIF
Constant 6.598
Coef SE Coef
2.19
P-Value
3.01 0.0132
BMI change 5.327
2.75
1.94
0.0812 1.00
Regression Equation.
Depression score change = 6.598 +5.327 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 a. (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.)
ý =
T-Value
Transcribed Image Text:BMI change S R-sq 5.10254 27.32% Coefficients. Term VIF Constant 6.598 Coef SE Coef 2.19 P-Value 3.01 0.0132 BMI change 5.327 2.75 1.94 0.0812 1.00 Regression Equation. Depression score change = 6.598 +5.327 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 a. (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.) ý = T-Value
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