Question

outliers affecting the slope.
use two points on the line of best fit, (0, 97) and (20, 91), to calculate the slope of the line.
the slope is $-\frac{3}{10}$.
the slope is $\frac{1}{3}$.
the slope is $\frac{3}{10}$.
the slope is $-\frac{1}{3}$.
two charts: squeeze filter water quality test 1 (x: gallons of water processed, y: water quality score) and squeeze filter water quality test 2 (x: gallons of water processed, y: water quality score) with data points

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the points

We have the points \((0, 97)\) (so \( x_1 = 0, y_1 = 97 \)) and \((20, 91)\) (so \( x_2 = 20, y_2 = 91 \)).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{91 - 97}{20 - 0}=\frac{-6}{20}=-\frac{3}{10} \).

Answer:

The slope is \(-\frac{3}{10}\)