The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
What is the line of best fit?
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have data shown in the table:
To find the line of best fit, we will calculate its slope and y-intercept.
We know the slope is given by:
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n \sum x^2 - (\sum x)^2}[/tex] where n = 5
After calculating, we get,
[tex]\rm n\sum xy-\sum x \sum y = 105000[/tex] and
[tex]\rm n \sum x^2 - (\sum x)^2 = 50[/tex]
m = 105000/50 = 2100
For y-intercept b:
[tex]\rm b = \dfrac{\sum y -m \sum x}{n}[/tex]
After calculating:
b = -4166040
The line becomes:
y = 2100x -4166040
If x = 2025 put this value in the line, we get:
y = 86460
Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
Learn more about the line of best fit here:
https://brainly.com/question/14279419
#SPJ1
