The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
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.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
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