In: Biology
From the table below, use a simple linear regression analysis to establish the relationship that may exist between a) number of confirmed cases and deaths; b) number of confirmed cases and number of tests performed; c) number of confirmed cases and number of recoveries; and d) number of deaths and number of recoveries. Briefly discuss these relations.
Date | Total confirmed | Death | Recoveries | Test |
1-Apr | 195 | 5 | 3 | 12046 |
2-Apr | 204 | 5 | 3 | 12046 |
3-Apr | 205 | 5 | 3 | 12046 |
4-Apr | 214 | 5 | 3 | 12046 |
6-Apr | 287 | 5 | 3 | 12046 |
7-Apr | 313 | 6 | 3 | 12046 |
9-Apr | 378 | 6 | 4 | 14611 |
10-Apr | 408 | 8 | 4 | 27348 |
11-Apr | 566 | 8 | 4 | 37954 |
15-Apr | 641 | 8 | 83 | 50719 |
18-Apr | 834 | 8 | 83 | 60916 |
19-Apr | 1042 | 8 | 83 | 68591 |
22-Apr | 1279 | 10 | 134 | 88188 |
25-Apr | 1550 | 11 | 155 | 100622 |
27-Apr | 1671 | 16 | 188 | 106090 |
28-Apr | 2074 | 17 | 212 | 113497 |
1-May | 2169 | 18 | 229 | 117049 |
2-May | 2719 | 18 | 294 | 129461 |
4-May | 3091 | 18 | 303 | 135902 |
7-May | 4012 | 18 | 323 | 149948 |
8-May | 4263 | 22 | 378 | 155201 |
10-May | 4700 | 22 | 494 | 160501 |
11-May | 5127 | 22 | 494 | 162184 |
12-May | 5408 | 24 | 514 | 165433 |
13-May | 5530 | 24 | 674 | 168685 |
14-May | 5638 | 28 | 1460 | 172623 |
15-May | 5735 | 29 | 1754 | 174077 |
17-May | 5918 | 31 | 1754 | 180567 |
18-May | 6096 | 31 | 1774 | 184343 |
19-May | 6269 | 31 | 1898 | 187929 |
20-May | 6486 | 31 | 1951 | 192194 |
21-May | 6617 | 31 | 1978 | 193705 |
22-May | 6683 | 32 | 1998 | 194763 |
23-May | 6809 | 32 | 2070 | 198175 |
24-May | 6964 | 32 | 2097 | 202130 |
25-May | 7117 | 34 | 2317 | 203383 |
Answer to above questions
Linear regression is a common Statistical Data Analysis technique. It is used to determine the extent to which there is a linear relationship between a dependent variable and one or more independent variables. It is a model that showcases the relationship between two variables.
Y=a+bX+
where Y= Dependent Variable
X = Independent Variable
a = intercept
b = slope
= residual error
so according to question 1 relation will be expressed as
Y =no.of confirmed case ,X= no.of deaths
and relation will be Y= a+bX+
According to question 2 relation will be expressed as
Y= no.of confirmed case ,X = no.of test performed
and relation will be same as above Y= a+bX+
According to question no 3 relation will be expressed as
Y= no.of recoveries ,X= no.of confirmed case
and relation will be expressed as Y= a+bX+
According to question no.4 relation will be expressed as
Y= no.of deaths and X = no.of recoveries
and relation will be expressed as Y= a+bX+