15.1 #7 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.)
15.1 #7 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.)
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Chapter1: Starting With Matlab
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Question
15.1 #7
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.)
![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)
0.5
-0.5
0.1
0.7
0.8
1.5
1.1
1
0.4
0.4
Depression Score Change
-1
4
4
8.
13
14
17
18
12
14
The accompanying computer output is from Minitab.
Fitted Line Plot
Depression score change = 6.577 + 5.440 BMI change
5.30586
20-
R-Sq
R-Sq (adj) 18.56%
25.96%
15
10-
5-
0-
-0.5
0.0
0.5
1.0
1.5
BMI change
R-sq
5.30586
25.96%
Coefficients
Term
Сoef
SE Coef
T-Value
P-Value
VIF
Constant
6.577
2.28
2.88
0.016
BMI change
5.440
2.90
1.87
0.091
1.00
Regression Equation
Depression score change
= 6.577 + 5.440 BMI change
Depression score change](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70c1c5d1-d84e-4e46-b2ca-988579199528%2F358d0bae-25e4-4dc7-b875-917bfc8af3f2%2F18t3kud_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)
0.5
-0.5
0.1
0.7
0.8
1.5
1.1
1
0.4
0.4
Depression Score Change
-1
4
4
8.
13
14
17
18
12
14
The accompanying computer output is from Minitab.
Fitted Line Plot
Depression score change = 6.577 + 5.440 BMI change
5.30586
20-
R-Sq
R-Sq (adj) 18.56%
25.96%
15
10-
5-
0-
-0.5
0.0
0.5
1.0
1.5
BMI change
R-sq
5.30586
25.96%
Coefficients
Term
Сoef
SE Coef
T-Value
P-Value
VIF
Constant
6.577
2.28
2.88
0.016
BMI change
5.440
2.90
1.87
0.091
1.00
Regression Equation
Depression score change
= 6.577 + 5.440 BMI change
Depression score change
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