Question

algebra 1
unit 3
lesson 6 practice
date
period
use this scenario for questions 1 through 6. polly sells hot chocolate at a stand in a
park. she records the number of cups of hot chocolate she sells, as well as the average
daily low temperature. the table shown indicates the data for 12 days in january.
hot chocolate sales
polly used technology to generate a scatter plot and a line of best fit, as shown.

1. write the equation for the line of best fit using the values generated with

technology.

1. interpret the slope of the line of best fit in the context.
2. describe the strength of the association between temperature and the number

cups of hot chocolate polly sells.

Explanation:

Step1: Identify the linear equation form

The general form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Substitute the given values of \(m\) and \(b\)

From the given data \(m=-1.81319\) and \(b = 171.387\). So the equation of the line of best fit is \(y=-1.81319x + 171.387\), where \(y\) represents the number of cups of hot chocolate sold and \(x\) represents the average temperature.

Answer:

The equation of the line of best fit is \(y=-1.81319x + 171.387\)