Question

An environmentalist wants to determine the relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands. Based on the data, decide in the correlation is significant at alpha = 0.05.

Number of fires (x) - 73 | 74 | 58 | 48 | 80 | 65 | 54 | 49

Number of acres burned (y) - 64 | 46 | 22 | 23 | 51 | 12 | 29 | 10

Determine Sset.

HELP!

Answer 1

Number of fires (x)

Number of acres burned (y)

X Values
∑ = 501
Mean = 62.625
∑(X - Mx)2 = SSx = 1039.875

Y Values
∑ = 257
Mean = 32.125
∑(Y - My)2 = SSy = 2654.875

X and Y Combined
N = 8
∑(X - Mx)(Y - My) = 1277.375

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

r = 1277.375 / √((1039.875)(2654.875))

r = 0.7688

N= 8 & r = 0.7688

We want to test that their is the relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands.

Ho : ϸ = 0 Vs Ha:- ϸ ≠ 0

i.e

Ho:- there is no relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands.

vs

Ha:- there is the relationship between the number of fires in thousands, and the number of acres burned in hundreds of thousands.