# A medical researcher conducted

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).

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.

# A medical researcher conducted

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.

# A medical researcher conducted

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.

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