Question

# Rain and Hantavirus in Mice Hantavirus is carried by wild rodents and causes severe lung disease...

Rain and Hantavirus in Mice

Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study1 on the California Channel Islands found that increased prevalence of the virus was linked with greater precipitation. The study adds "Precipitation accounted for 79% of the variation in prevalence."

1"More Rain, More Virus," Nature, April 28 2011, p. 392.

(a) What notation or terminology do we use for the value 79% in this context?

β

r

p-value

b

Standard error

p

R2

(b) What is the response variable?

Choose the answer from the menu in accordance to item (b) of the question statement: Prevalence Variation Precipitation

What is the explanatory variable?

Choose the answer from the menu in accordance to item (b) of the question statement: Variation Prevalence Precipitation

(c) What is the correlation between the two variables?

r=

(A) 79% is explained variation

we know that explained variation is the coefficient of determination or R^2

(B) Response variable is dependent variable

In this case, response variable prevalence because 79% of variation is explained by precipitation for prevalence

It is clear that precipitation is responsible for variation in the prevalence, so explanatory variable is precipitation

(C) correlation r = sqrt(R^2)

where R^2 = 0.79

so, we get

r = sqrt(0.79)

= 0.889

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