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 (at the image files). iii) Estimate the regression model parameters and write the estimated linear regression  model. ANS FOR iii)  β1ˆ=0.018724 β0ˆ= 8.071748  yˆ= 8.0717+0.0187x 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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 43E
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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 (at the image files).

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

ANS FOR iii)

 β1ˆ=0.018724

β0ˆ= 8.071748

 yˆ= 8.0717+0.0187x

  1. 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.
  2. v) Table 1 represents the incomplete ANOVA table of the study. Find the values of P, Q, 
    R and S. 
  3. vi) Test the linearity between the two variables at 4% significance level. 

 

Table 1
Source of
Sum of
Degrees of
Mean of
fre
test
Variations
Squares
Freedom
Squares
Regression
25.0968
1
Q
S
Residual
P
11
R
Total
70.3077
12
Transcribed Image Text:Table 1 Source of Sum of Degrees of Mean of fre test Variations Squares Freedom Squares Regression 25.0968 1 Q S Residual P 11 R Total 70.3077 12
Σx 1499, Σν13,
Σν- 133,
x* = 244523, y = 1431,
xy = 16678,
S = 71676.7692,
S = 70.3077,
S = 1342.0769
NX
XV
Transcribed Image Text:Σx 1499, Σν13, Σν- 133, x* = 244523, y = 1431, xy = 16678, S = 71676.7692, S = 70.3077, S = 1342.0769 NX XV
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