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 of the variation in prevalence."

By the details received, the reference variable becomes actual prevalence or occurrence of another virus whereas the descriptive variable becomes precipitation 'Precipitation compensated for 79% throughout variability with prevalence.'

As we know that the determination's coefficient will be:

⇒ [tex]R^2[/tex]

(Percent of variance in the answer variable described by the explanatory variable).

Now the correlation among the two variables will be:

As we know,

⇒ [tex]r^2=R^2[/tex]

⇒ [tex]r^2=0.79[/tex]

⇒ [tex]r=\sqrt{0.79}[/tex]

⇒ [tex]r=0.889[/tex]

fichoh fichoh · Answer 2 · 2021-11-19T06:29:49+01:00

The percentage value of 79% given in the context is the percentage of variation in the prevalence of Hantavirus which can be explained by precipitation. Hence, the coefficient of determination, R².

The Coefficient of determination is a metric used in modeling to show how the proportion of the change in the dependent variable which is due to the independent variable.

The Coefficient of determination, R² ranges between 0 and 1 with 1 meaning 100%.

Hence, the metric shows that 79% of changes in prevalence is caused by the regression line, hence the R² value.

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