Prform a lack-of-fit test for the following data use a

Question

Question: Perform a lack-of-fit test for the following data (use a = 0.5).

X             3.2          2.1           2.6         3.2            3.0             2.1             3.2             2.9              3.0             2.6              2.4

Y             3.6          3.7           3.0         3.7            3.3             3.8             3.4             2.7              2.8             3.1              3.4

Now construct a scatter plot of the data. Does the plot support the result of the lack-of-fit test?