(b) Give a point estimate of o. (Round your answer to five decimal places.) 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/m?. (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(b) Give a point estimate of o. (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/m?. (Round your answer to three decimal places.)
Transcribed Image Text:(b) Give a point estimate of o. (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/m?. (Round your answer to three decimal places.)
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/m²)
-0.5
0.7
0.5
0.1
0.8
1
1.5
1.2
1
0.4
0.4
Depression Score Change
-1
4
4
8
13
14
16
18
12
14
The accompanying computer output is from Minitab.
Fitted Line Plot
Depression score change = 6.598 + 5.327 BMI change
20-
5.10254
R-Sq
R-Sq (adj) 20.06%
27.32%
15-
10-
5-
0-
-0.5
0.0
0.5
1.0
1.5
BMI change
R-sq
5.10254
27.32%
Coefficients
Term
Coef
SE Coef
T-Value
P-Value
VIF
Constant
6.598
2.19
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.)
%
Depression score change
Transcribed Image Text: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/m²) -0.5 0.7 0.5 0.1 0.8 1 1.5 1.2 1 0.4 0.4 Depression Score Change -1 4 4 8 13 14 16 18 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 6.598 + 5.327 BMI change 20- 5.10254 R-Sq R-Sq (adj) 20.06% 27.32% 15- 10- 5- 0- -0.5 0.0 0.5 1.0 1.5 BMI change R-sq 5.10254 27.32% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 6.598 2.19 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.) % Depression score change
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