1. Using the above data we obtain the following descriptive statistics Deaths PCRTests Admissions 197.602 141858.6 135779 68461.62 22763 296559 0.46 Мean 652.9793 Median Standard dev Minimum 54.5 364 285.9657 743.6628 68 3564 1.92 Maximum 1073 Skewness Kurtosis Observations 1.59 4.18 2.21 6.29 196 175 193 Note that the number of observations vary across the variables (a) Compare daily mean and median deaths in the UK over this period. What conclusion would you draw from this comparison. (b) Suppose the first quartile of the distribution of PCRTests is 85880 and the third quartile value of the variable is 188974, calculate its interquartile range. Interpret the number. (c) Suppose the histogram of the distribution of daily hospital admissions is as follows: 2000 newAdmissions 1000 3000 4000 What conclusion would you draw about the shape of the distribution of the variable? Provide evidence in support of your answer.

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1.
Using the above data we obtain the following descriptive statistics
EFFE
Deaths
PCRTests
Admissions
Мean
197.602
141858.6
652.9793
Median
Standard dev
Minimum
135779
68461.62
54.5
364
743.6628
285.9657
22763
296559
68
3564
Maximum
1073
Skewness
1.59
0.46
1.92
Kurtosis
4.18
196
2.21
175
6.29
193
Observations
Note that the number of observations vary across the variables
(a) Compare daily mean and median deaths in the UK over this period. What
conclusion would you draw from this comparison.
(b) Suppose the first quartile of the distribution of PCRTests is 85880 and the
third quartile value of the variable is 188974, calculate its interquartile range.
Interpret the number.
(c) Suppose the histogram of the distribution of daily hospital admissions is as
follows:
1000
2000
newAdmissions
3000
4000
What conclusion would you draw about the shape of the distribution of the
variable? Provide evidence in support of
your answer.
(d) Define coefficient of variation. Using the data for daily deaths and daily
admissions calculate and compare the two coefficients of variation.
(e) What is the relationship between covariance and correlation between two
variables? Explain.
Suppose the correlation matrix between the three variables in this data is
given by:
Deaths PCRTest Admissions
| 1.0000
PCRTests | -0.5945 1.0000
Admissions | 0.9582 -0.4870 1.0000
Deaths
Transcribed Image Text:1. Using the above data we obtain the following descriptive statistics EFFE Deaths PCRTests Admissions Мean 197.602 141858.6 652.9793 Median Standard dev Minimum 135779 68461.62 54.5 364 743.6628 285.9657 22763 296559 68 3564 Maximum 1073 Skewness 1.59 0.46 1.92 Kurtosis 4.18 196 2.21 175 6.29 193 Observations Note that the number of observations vary across the variables (a) Compare daily mean and median deaths in the UK over this period. What conclusion would you draw from this comparison. (b) Suppose the first quartile of the distribution of PCRTests is 85880 and the third quartile value of the variable is 188974, calculate its interquartile range. Interpret the number. (c) Suppose the histogram of the distribution of daily hospital admissions is as follows: 1000 2000 newAdmissions 3000 4000 What conclusion would you draw about the shape of the distribution of the variable? Provide evidence in support of your answer. (d) Define coefficient of variation. Using the data for daily deaths and daily admissions calculate and compare the two coefficients of variation. (e) What is the relationship between covariance and correlation between two variables? Explain. Suppose the correlation matrix between the three variables in this data is given by: Deaths PCRTest Admissions | 1.0000 PCRTests | -0.5945 1.0000 Admissions | 0.9582 -0.4870 1.0000 Deaths
DATA
The following is the daily data on Covid-19 deaths, PCR test and hospital admissions
done during in the UK during 1st April 2020 till 14 October 2020 available from the
UK government website.
Variable list:
Deaths: Number of daily deaths within 28 days of positive Covid tests
PCRTests: Number of daily PCR tests carried out for Covid identification
Admissions: Number of daily hospital admissions
Transcribed Image Text:DATA The following is the daily data on Covid-19 deaths, PCR test and hospital admissions done during in the UK during 1st April 2020 till 14 October 2020 available from the UK government website. Variable list: Deaths: Number of daily deaths within 28 days of positive Covid tests PCRTests: Number of daily PCR tests carried out for Covid identification Admissions: Number of daily hospital admissions
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