Answer :
As per the given data, the correlation is 0.7.
Correlation:
in statistics, correlation refers the association between two quantitative variables.
Given,
Here we have the table of data and now we need to find the correlation of the data.
As per the given data we have calculated the value of r as,
X Values
∑ = 132.38
Mean = 5.295
∑(X - Mx)² = SSₓ = 9.005
And the Y Values
∑ = 170.76
Mean = 6.83
∑(Y - My)² = SSₙ = 26.357
When the X and Y Combined
N = 25
∑(X - Mx)(Y - My) = 10.065
So, the R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSₓ)(SSₙ))
r = 10.065 / √((9.005)(26.357)) = 0.6533
Then the Meta Numeric (cross-check)
r = 0.6533
When we round of these value then we get the value of the correlation as 0.7.
To know more about Correlation here.
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