Answer
We can conclude that at the 1% or 0.01 level of significance, there exists a linear relationship between height and head circumference.
Work Step by Step
Using the TI-84 calculator:
1) To enter the data go to 'STAT'. Under the heading 'EDIT' select option 1 'Edit' and enter your x and y values in the L1 and L2 columns, respectively.
2) After you have entered the data, select 'STAT' and go to 'TESTS'. Under 'TESTS', scroll down to and select option F 'LinRegTTest'
3) Set XList as L1 and YList as L2. Frequency should be set at 1. For $B$ & $ \rho $, ensure that the '$\ne0$' option is selected.
4) Once you have completed these settings, scroll down and select 'Calculate'.
5) Once the results appear, scroll down to find the p-value which is denoted as 'p'. As you will see, the p-value is approximately 0.00001 which is lower than our significance level of 0.01.
Therefore, we can conclude that at the 0.01 level of significance, there exists a relationship between height and head circumference.
