Answer:
Option C - \(y=\frac{2}{5}x+7\)
Step-by-step explanation:
Given : Data set (5, 9), (13, 12), (23, 16).
To find : Which of the following equations best represents a line of best fit?
Solution :
Data (5, 9), (13, 12), (23, 16).
We plot the data points on the graph and get the best fit line.
Using regression calculator,
The function has a linear behavior so the best line which represent the data is given by
\(y=0.389x +7.01\)
Approx \(y=0.4x +7\)
or \(y=\frac{2}{5}x+7\)
and the value of R² i.e. correlation coefficient is given by
\(R^2=0.999\) which is approximately equal to 1 gives you the best fit line.
From the given options,
\(y=\frac{2}{5}x+7\) gives you the best fit line.
Therefore, Option C is correct.
Refer the attached figure below.
