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/m?) -0.5 0.8 1 0.5 0.1 0.7 1.5 1.1 1 0.2 0.2 Depression Score Change 14 17 18 12 -1 9. 4 13 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 7.200 + 4.789 BMI change 5.38756 21.90% R-Sa (adj) 14.09% R-Sa 15 10. I 5-

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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)
1.5 1.1
0.2 | 0.2
0.5
-0.5
0.1
0.7
0.8
1
1
Depression Score Change
-1
9
4
4
6
8
13
14
17
18
12
14
The accompanying computer output is from Minitab.
Fitted Line Plot
Depression score change = 7.200 + 4.789 BMI change
* 20-
5.38756
R-Sq
R-Sg (adj) 14.09%
21.90%
15 -
:
10-
5-
..
0-
-0.5
0.0
0.5
1.0
1.5
BMI change
R-sq
5.38756
21.90%
Coefficients
Term
Coef
SE Coef
T-Value
P-Value
VIF
Constant
7.200
2.21
3.26
0.0086
BMI change
4.789
2.86
1.67
0.1249
1.00
Regression Equation
Depression score change = 7.200 + 4.789 BMI change
Depression score change
..
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) 1.5 1.1 0.2 | 0.2 0.5 -0.5 0.1 0.7 0.8 1 1 Depression Score Change -1 9 4 4 6 8 13 14 17 18 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 7.200 + 4.789 BMI change * 20- 5.38756 R-Sq R-Sg (adj) 14.09% 21.90% 15 - : 10- 5- .. 0- -0.5 0.0 0.5 1.0 1.5 BMI change R-sq 5.38756 21.90% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 7.200 2.21 3.26 0.0086 BMI change 4.789 2.86 1.67 0.1249 1.00 Regression Equation Depression score change = 7.200 + 4.789 BMI change Depression score 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.)
Transcribed Image Text:(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.)
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