Question

*Rain and Hantavirus in Mice*

Hantavirus is carried by wild rodents and causes severe lung
disease in humans. A recent study^{1} 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?

Round your answer to three decimal places.

r=

Answer #1

(A) 79% is explained variation

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

So, answer is R2

(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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