(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.)
(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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![(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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad05b3f-cede-4ed2-b491-50ea33a79807%2F64882ece-4474-4105-aa1c-450bdadf156c%2Fniyy5qi_processed.png&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad05b3f-cede-4ed2-b491-50ea33a79807%2F64882ece-4474-4105-aa1c-450bdadf156c%2Fm2zjrl_processed.png&w=3840&q=75)
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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