Question

A student drew the following line as their line of best fit in our Desmos activity from today. Do you think this student drew the line of best fit for the data represented by green dots? Why or why not? What makes a good line of best fit? Use 3-4 complete sentences to explain your thoughts below.

Answer 1

No, i don't think that this student drew the line of best fit for the data represented by green dots.

Explanation:

Option C is will be good option for the line of best fit and the student drew is not the line of best fit because:

1. at least two points should be on the "best-fit" line
2. maximum points should be as close to the line as possible
3. number of points above the line and below the line should be equal (and the line passes through as many points as possible)

Answer 2

Thus, the student did not draw the line of best fit for the data.

The line drawn through point C would be the best fit for the given data.

Explanation:

We are given that,

The student describes that the best fit for the data represented by green dots is the line D.

Since, the properties of the line to be the best fit for any data are given by,

1. Maximum number of points should lie close to the line.

2. The number of points above the line should be equal to the number of points below the line.

So, from the given scatter plot, we see that,

The line D does not satisfy the above properties as the number of points above the line are greater than the number of points below the line.

Thus, the student did not draw the line of best fit for the data.

According to the figure, we have that,

The line drawn through point C would be the best fit for the given data as it will satisfy the properties of the best fit for a line.