Question

In: Statistics and Probability

Determine correlation coefficient and determination coefficient. quarantine days Covid-19 deaths 2 25 5 20 8 19...

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)

Solutions

Expert Solution

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


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