Question

The table and scatter plot show the additional plant growth measured each day for particular days. which two points should the trend line go through to best represent the data given in this scatter plot? time day growth (inches) 2 1 3 1.5 4 2.75 5 2 6 2 8 3 10 1.75 2, 1 and 3, 1.5 2, 1 and 5, 2 6, 2 and 8, 2 6, 2 and 10,1.75

Answer 1

The trend line in a scatter plot should summarize the overall pattern and is typically determined through linear regression, which includes all data points. The points 6, 2 and 10, 1.75 may not be the best representatives if they do not align with the general growth trend observed.

Now, let's look at the options:

2, 1 and 3, 1.5: These points are at the beginning of the data, but they may not capture the overall trend well as the growth increases later.

2, 1 and 5, 2: These points also capture the initial trend, but they may not represent the increase in growth over time.

6, 2 and 8, 2: These points are more towards the middle of the data, and they seem to represent a stable growth rate.

6, 2 and 10, 1.75: These points represent a later stage of the data and may better capture the overall trend.

Considering the overall trend, a good choice might be 6, 2 and 10, 1.75. These two points represent different stages of the growth process, providing a more comprehensive picture of the trend.