Data on ICU hospitalization (X) and number of death (Y) for 5 days due to COVID19 is given.
Date  In ICU (X)  Death (Y) 
04/25  50  21 
04/26  80  35 
04/27  87  31 
04/28  92  45 
04/29  118  50 
Total  427  182 
Find estimate βˆ1
Question 9 options:
0.6741 

0.8928 

0.1827 

0.4367 

0.2198 
Solution:
X  Y  XY  X^2  Y^2 
50  21  1050  2500  441 
80  35  2800  6400  1225 
87  31  2697  7569  961 
92  45  4140  8464  2025 
118  50  5900  13924  2500 
n  5 
sum(XY)  16587.00 
sum(X)  427.00 
sum(Y)  182.00 
sum(X^2)  38857.00 
sum(Y^2)  7152.00 
Numerator  5221.00 
Denominator  5613.91 
r  0.9300 
r square  0.8649 
Xbar(mean)  85.4000 
Ybar(mean)  36.4000 
SD(X)  21.8687 
SD(Y)  10.2684 
b  0.4367 
a  0.8929 
The estimate = 0.4367
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