Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 12, α = 0.01

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is and and for this case we can find the critical values and we got:

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis:

Alternative hypothesis:

The statistic to check the hypothesis is given by:

And is distributed with n-2 degreed of freedom. df=n-2=12-2=10

The significance level is and and for this case we can find the critical values and we got:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x