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

Option C -
`y=(2)/(5)x+7`

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=(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=(2)/(5)x+7` gives you the best fit line.

Therefore, Option C is correct.

Refer the attached figure below.