Question

6 2 8 3 10 1.75 time (days) growth (inches) 2 1 3 1.5 4 2.75 5 2 6 2 8 3 10 1.75 height (inches) (2,1) and (3,1.5) (2,1) and (5,2) (6,2) and (8,2) (6,2) and (10,1.75)

Explanation:

Step1: Analyze the first option

For the points \((2,1)\) and \((3,1.5)\), the slope \(m=\frac{1.5 - 1}{3 - 2}=\frac{0.5}{1}=0.5\).

Step2: Analyze the second option

For the points \((2,1)\) and \((5,2)\), the slope \(m=\frac{2 - 1}{5 - 2}=\frac{1}{3}\approx0.33\).

Step3: Analyze the third option

For the points \((6,2)\) and \((8,2)\), the slope \(m=\frac{2 - 2}{8 - 6}=\frac{0}{2}=0\).

Step4: Analyze the fourth option

For the points \((6,2)\) and \((10,1.75)\), the slope \(m=\frac{1.75 - 2}{10 - 6}=\frac{- 0.25}{4}=-0.0625\).

From the scatter - plot, we can see that the relationship between time and growth is not a straight - line (linear) relationship. But if we consider the general trend of data points, we can check which pair of points is more likely to be on a line that can approximate the data trend.

Looking at the scatter - plot, the points \((2,1)\) and \((5,2)\) seem to follow a more "reasonable" trend compared to the other pairs.

Answer:

\((2,1)\) and \((5,2)\)