Question

Consider the following data set of $x$ and $y.$

Choose the correct representation of line of best fit.

• A.
• B.
• C.
• D. (a) and (b) above.

Answer 1

The correct option is B

Draw a line such that all the given points are equally scattered around that line. This is the trend line.

The trend line that captures the essence of the data is called the line of best fit.

From the given data points in the question statement, we can see that $y$ is increasing with $x.$
However, in option (c) the line of best fit shows that $y$ is decreasing with increase in $x.$
$\therefore$ Option (c) is wrong.

In option (b), equal number of data points lie above and below the drawn line.

Hence, it is the line of best fit, i.e., option (b) is correct.

In option (a), all the data points lie below the line of best fit, which is not as per the definition of line of best fit.
Hence, this is also a wrong option.