Question

What is the equation of the line of best fit for these data? Round the slopeand y-intercept of the line to three decimal places.хy12031451096164O A. y = -17.426x +0.974O B. y = 17.426x+0.974O C. y= 0.974x + 17.426D. y=-0.974x + 17.426

Answer 1

Given:

The x values are 1, 3, 5, 7, 9, 16.

The y values are 20, 14, 10, 6, 4.

The objective is to find the slope value and y intercept.

The general equation of a straight line is,

$y=mx+b$

Here, m represents the slope of the line and b represents the y intercept.

Consider two coordinates from the table as,

$\begin{gathered} (x_1,y_1)=(1,20)_{} \\ (x_2,y_2)=(3,14) \end{gathered}$

The value of slope can be calculated as,