Maths-

General

Easy

Question

# This scatter plot shows the hours of TV watched per week versus the GPA on a 4.0 scale for a group of students. Explain why the drawn line of best fit is accurate or why not.

## The correct answer is: We are asked to check whether the given line is a best fit or not for the given data.

### ANSWER:

Hint:

Trend lines are used to approximate the pattern and direction of a set of data. It can be drawn in several ways.

We are asked to check whether the given line is a best fit or not for the given data.

Step 1 of 1:

Trend lines are used to analyze the behavior and direction of a data set. So, it has to close enough even though not accurate.

We could possibly draw different trend lines for the given scatter plot. But, the line should justify the scatter plot. Make sure that the points lie closely and tightly around the trend line to get the behavior of the data set

Here, the points are quite spread and the given trend line has a lot of them clustered around it. It is not possible to get another line where all the points of the graph could be closely aligned. Hence, this line is a best fit for the graph.

Note:

It is not necessary that the line should contain all the points, since we use it to approximate the pattern for the given data. Moreover, a scatter plot could have more than one trend line, but choosing one that shows the behavior of the data should be considered.

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