Question

Find the correlation coefficient.

a. correlation = _____

Short answer

\(r=0.45\)

Step-by-step solution

Step 1. Given information

Given,

Step 2. Calculation

\(r=\frac{N\sum xy-(\sum x)(\sum y)}{\sqrt{[N\sum x^{2}-(\sum x)^{2}][N\sum y^{2}-(\sum y)^{2}]}}\)

\(r=\frac{22\times 1598786198-(43813)(802027)}{\sqrt{[22(87254475)-43813^{2}][22(42471498895)-802027^{2}]}}\)

\(r=\frac{34087405}{75308824.97}\)

\(r=0.45\)

We have given the data of years and no. of flu cases diagnosedusing that data we calculated few statistics then putting all those statistics in the formula of correlation coefficient then we have got the value of \(r\).

The correlation coefficient of the given data is equal to \(0.45\).