(c) Give an estimate of the average change in depression score change associated with a 1 kg/m 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.)

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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 ..
(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/m. (Round your answer to three decimal places.)
ý =
Transcribed Image Text:(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/m. (Round your answer to three decimal places.) ý =
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