Question

in the scatterplot, a line of best fit for the data is shown. which of the following equations best represents this line of best fit? a ( y = 10.92 - 1.55x ) b ( y = 1.55x ) c ( y = - 10.92x ) d ( y = 10.92 )

Explanation:

Step1: Determine the type of the line

The line is a linear regression line (line of best fit) in the form \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Analyze the slope \(m\)

Since the line is decreasing (as \(x\) increases, \(y\) decreases), the slope \(m\) is negative.

Step3: Analyze the \(y\) - intercept \(b\)

When \(x = 0\), \(y\approx11\), so \(b\approx10.92\) (close to the \(y\) - value when \(x = 0\) in the scatter - plot).

Answer:

A. \(y = 10.92-1.55x\)