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Find the correlation coefficient.

a. correlation = _____

Short Answer

Expert verified

\(r=0.45\)

Step by step solution

01

Step 1. Given information

Given,

02

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 \(0.45\).

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Most popular questions from this chapter

Use the columns "year" and "# flu cases diagnosed. Why is 鈥測ear鈥 the independent variable and 鈥# flu cases diagnosed.鈥 the dependent variable (instead of the reverse)?

59. The Gross Domestic Product Purchasing Power Parity is an indication of a country's currency value compared to another country. Table 12.16 shows the GDPPPP of Cuba as compared to US dollars. Construct a scatter plot of the data.

Year
Cuba's PPP
Year
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1999
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2006
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2000
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2003
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