Question

which graph shows the most accurate line of best fit?

select one:
a. line d
b. line b
c. line a
d. line c

Explanation:

Identify the coordinates of the data points

$$ (0, 2), (1, 4.5), (2, 9), (3, 11), (4, 13), (5, 18), (6, 19.5) $$

Evaluate the alignment of each line with the data points

• Line B is too steep, passing far below the points at \(x < 3\) and far above at \(x > 3\).
• Line D is too flat, passing above the points at \(x < 3\) and below at \(x > 3\).
• Line C passes through \((3, 11)\) and \((4, 13)\) but lies above the points at \(x < 3\) and below the points at \(x > 3\).
• Line A passes directly through or very close to almost all points: \((0, 2)\), \((3, 11)\), \((4, 13)\), and \((5, 18)\), with the remaining points evenly balanced on both sides.

Determine the line of best fit

$$ \text{Line A represents the most accurate line of best fit.} $$

Answer:

• a. Line D
• b. Line B
• c. Line A (Correct answer)
• d. Line C