Answer:
y = 0.14 x^2 - 1.43 x + 10.75
Step-by-step explanation
got it correct on the test
The quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
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 data shown in the table:
It is required to find the quadratic function best models this set of data.
Let the quadratic function is:
y = ax² + bx + c
We can find the values of a, b, and c from the table, which are constants.
From the table:
a = 10.75
b = -1.43
c = 0.14
The quadratic function is:
y = 10.75x² - 1.43x + 0.14
Thus, the quadratic function best models this set of data is y = 10.75x² - 1.43x + 0.14.
Learn more about the line of best fit here:
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