Question

passing statistics
the scatterplot shows how many pass attempts and
yards a quarterback has in different football games.
notice that the line passes through the second point
from the left, (24, 127) and the farthest point on the
right (36, 163).
what is the slope of the trend line?

Explanation:

Step1: Recall the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(24,127)\) and \((x_2,y_2)=(36,163)\).

Step2: Substitute values into the formula

Substitute \(x_1 = 24\), \(y_1=127\), \(x_2 = 36\), \(y_2 = 163\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Then \(m=\frac{163 - 127}{36 - 24}\).

Step3: Calculate the numerator and denominator

First, calculate the numerator: \(163-127 = 36\). Then calculate the denominator: \(36 - 24=12\).

Step4: Simplify the fraction

\(m=\frac{36}{12}=3\).

Answer:

\(3\)