Question 554249
This is the kind of problem where you need to read the mind of the person who proposed that problem.
If the problem comes from a class, you may want to start with what you were just studying. You would have better clues than we have.
ONE IDEA
If you are studying linear functions and linear regression, maybe it's meant to represent experimental measured y values for x values set at 1, 2, 3, 4, 5, and 6.
If you assume that, you now have 4 points: (1,8), (2,14), (4,24), and (5,28). Graphing them, they seem to fit a linear function closely enough for a biology experiment (y = 5x + 3.5).
ANOTHER IDEA
The x column hints at the x values being an arithmetic sequence: 1, 2, 3, 4, 5, 6.
The y values have neither a common difference (no arithmetic sequence), nor a common ratio (no geometric sequence). Presuming the x values form the arithmetic sequence, we get the points (4,24) and (5, 28). Then, if we try to make the differences vary linearly, we need the points (3, 19 1/3), (6, 31 1/3), and we would have the quadratic function {{{y=-x^2/3+7x+4/3}}}.