Question

the scatter plot shows the number of swings that different people took at a piñata, as well as the number of times each person hit the piñata. use the equation of the trend line to predict how many times a person swung if they hit the piñata 10 times. a. 5 b. 20 c. 10 d. 18

Explanation:

Step1: Find the equation of the trend line

The trend line passes through the origin \((0,0)\) and another point \((14,7)\). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{7-0}{14 - 0}=\frac{1}{2}\). So the equation of the line is \(y=\frac{1}{2}x\), where \(y\) is the number of hits and \(x\) is the number of swings.

Step2: Substitute \(y = 10\) into the equation

We have \(10=\frac{1}{2}x\). Solving for \(x\), we multiply both sides by \(2\): \(x = 2\times10=20\).

Answer:

B. 20