Question

3a. Using the following data, what is the association between patient body temperature (degrees) and the mortality rate (percentage)?

Body temperature (°)	Mortality Rate (%)
101	0.00
103	2.00
102	1.00
102	1.00
103	2.00
104	6.00

3b. Calculate Pearson’s r.
3c. Is the relationship positive or negative? Strong or weak?

3d. Interpreting the r statistic, what is the relationship between fever and the percentage of death in a coronavirus patient?

Answer 1

3b.

X Values
∑ = 615
Mean = 102.5
∑(X - Mx)2 = SSx = 5.5

Y Values
∑ = 12
Mean = 2
∑(Y - My)2 = SSy = 22

X and Y Combined
N = 6
∑(X - Mx)(Y - My) = 10

R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 10 / √((5.5)(22)) = 0.9091

3b. Here we see that r value is positive

Also value of r lies near 1 so there is strong positive relation

3c. Based on above we conclude that is strong positive relation between fever and the percentage of death in a coronavirus patient.