Question

A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.
What is the correlation coefficient for the data shown in the table?

0
1
4
5

Answer 1

Answer:

4

Step-by-step explanation:

Answer 2

The correlation coefficient for the data is 0.0091.

This can be obtained by using the formula of correlation coefficient.

Calculate the correlation coefficient from the table:

The following information is obtained from the table,

∑x  = 10

∑y = 10

∑xy = 42

∑x² = 42

∑y² = 42

The formula for finding the correlation coefficient,

r = n∑xy- ∑x∑y/(n∑x²-(∑x)²)(n∑y²-(∑y)²)

r = (5×42)-(10×10)/((5×42)-10²)((5×42)-10²)

 =$\frac{110}{110.110}$

=$\frac{1}{110}$

=0.0091

Thus, the correlation coefficient of the given data is 0.0091.

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