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In: Statistics and Probability

The table below shows the data of the new type of virus disease (COVID-19) from 11...

The table below shows the data of the new type of virus disease (COVID-19) from 11 March 2020, the day when the first case occurred in our country, until 21 April 2020, when the virus peaked. In response to these data, the number of patients recovering within the same time frame is given. Find a 2nd order polynomial equation (Ŷ = a0 + a1 x + a2 x2) that fits these data. Then calculate the correlation coefficient. Using the parabola equation, find a regression curve for the number of patients recovering based on the number of cases. Also, estimate when the number of cases will end according to these data.

DAILY CASE NUMBER(Y) DAILY HEALING PATIENTS(x) x^2
11-Mar 0 1 1
12-Mar 0 0 0
13-Mar 0 4 16
14-Mar 0 1 1
15-Mar 1 12 144
16-Mar 1 29 841
17-Mar 2 41 1681
18-Mar 3 93 8649
19-Mar 4 168 28224
20-Mar 9 311 96721
21-Mar 21 277 76729
22-Mar 30 289 83521
23-Mar 37 293 85849
24-Mar 44 343 117649
25-Mar 59 561 314721
26-Mar 75 1196 1430416
27-Mar 92 2069 4280761
28-Mar 108 1704 2903616
29-Mar 131 1815 3294225
30-Mar 168 1610 2592100
31-Mar 214 2704 7311616
1-Apr 277 2148 4613904
2-Apr 356 2456 6031936
3-Apr 425 2786 7761796
4-Apr 501 3013 9078169
5-Apr 574 3135 9828225
6-Apr 649 3148 9909904
7-Apr 725 3892 15147664
8-Apr 812 4117 16949689
9-Apr 908 4056 16451136
10-Apr 1006 4747 22534009
11-Apr 1101 5138 26399044
12-Apr 1198 4789 22934521
13-Apr 1296 4093 16752649
14-Apr 1403 4062 16499844
15-Apr 1518 4281 18326961
16-Apr 1643 4801 23049601
17-Apr 1769 4353 18948609
18-Apr 1890 3783 14311089
19-Apr 2017 3977 15816529
20-Apr 2140 4674 21846276
21-Apr 2259 4611 21261321

i konw how to do it with excel so pls dont do it with excel!

Solutions

Expert Solution

The following matrix and vector are defined in order to conduct the matrix calculation required to compute the estimated multiple regression coefficients:

orchestra answered 1 year ago
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