Question

Determine correlation coefficient and determination coefficient.

quarantine days	Covid-19 deaths
2	25
5	20
8	19
10	17
13	13
15	10
18	10
20	8
25	5
30	5

Correlation coefficient (r)

Determination coefficient (r²)

Answer 1

Solution:-

We have given data as

Sr.no.	Quarantine daus(X)	Covid-19 Death (Y)	X^2	Y^2	X*Y
1	2	25	4	625	50
2	5	20	25	400	100
3	8	19	64	361	152
4	10	17	100	289	170
5	13	13	169	169	169
6	15	10	225	100	150
7	18	10	324	100	180
8	20	8	400	64	160
9	25	5	625	25	125
10	30	5	900	25	150
Total	146	132	2836	2158	1406

Now here we want to find correlation coefficient between quarantine days and covid-19 Death

The formula for correlation coefficient is

Now,

Coefficient of determination is given by formula

Result :-

1)The correlation coefficient between quarantine days and covid-19 Death is r = -0.9633

2)The coefficient of determination between quarantine days and covid-19 death is R^2 = 0.9279