Question

Given the data set (5, 9), (13, 12), (23, 16), which of the following equations best represents a line of best fit? A) y = 3/4x − 7 B) y = 4/5x + 7 C) y = 2/5x + 7 D) y = 2/3x − 7

Answer 1

The answer is c) y=2/5x+7
hope that helps

Answer 2

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.