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-
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
..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ebbef02-b493-4692-8dac-e1b1cf90fb58%2F593ab652-5b38-4259-be62-b2aff09b7e1e%2Fyd8qx18_processed.png&w=3840&q=75)
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ebbef02-b493-4692-8dac-e1b1cf90fb58%2F593ab652-5b38-4259-be62-b2aff09b7e1e%2Fjuel5xo_processed.png&w=3840&q=75)
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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