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+