A medical researcher conducted an observational study to understand the recovery rate for patients infected with the COVID-19 in Malaysia. The researcher contacted thirteen COVID- 19 survivors and interviewed them regarding their recovery experience. Two of the questions asked are the recovery period (in days) and the number of days that have passed since receiving the second dose of COVID-19 vaccine prior to infection. The recorded data is summarized as i) Identify the dependent variable in the study. ii) Calculate the correlation coefficient and interpret its value. iii) Estimate the regression model parameters and write the estimated linear regression model. iv) Based on your answer in iii), predict the recovery period if a person is infected with COVID-19 after 200 days of receiving second dose of COVID-19 vaccine. v) Table 1 represents the incomplete ANOVA table of the study. Find the values of P, Q, R and S. vi) Test the linearity between the two variables at 4% significance level.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter1: Introduction To Algebra
Section1.5: Translating Sentences Into Equations
Problem 30WE
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A medical researcher conducted an observational study to understand the recovery rate for
patients infected with the COVID-19 in Malaysia. The researcher contacted thirteen COVID-
19 survivors and interviewed them regarding their recovery experience. Two of the questions
asked are the recovery period (in days) and the number of days that have passed since receiving
the second dose of COVID-19 vaccine prior to infection. The recorded data is summarized as

i) Identify the dependent variable in the study.

ii) Calculate the correlation coefficient and interpret its value.

iii) Estimate the regression model parameters and write the estimated linear regression
model.

iv) Based on your answer in iii), predict the recovery period if a person is infected with
COVID-19 after 200 days of receiving second dose of COVID-19 vaccine.

v) Table 1 represents the incomplete ANOVA table of the study. Find the values of P, Q,
R and S.

vi) Test the linearity between the two variables at 4% significance level.

Table 1
Source of
Sum of
Degrees of
Mean of
frest
Variations
Squares
Freedom
Squares
Regression
25.0968
1
S
Residual
11
R
Total
70.3077
12
Transcribed Image Text:Table 1 Source of Sum of Degrees of Mean of frest Variations Squares Freedom Squares Regression 25.0968 1 S Residual 11 R Total 70.3077 12
Σ
Ex=1499, y=133, x = 244523, y =1431,
xy = 16678,
%3D
S = 71676.7692,
S, = 70.3077,
S =1342.0769
Transcribed Image Text:Σ Ex=1499, y=133, x = 244523, y =1431, xy = 16678, %3D S = 71676.7692, S, = 70.3077, S =1342.0769
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