The linear equation that best represents the data is given by:
y = 1.35x - 2.11.
<h3>Why is the data best represented by a linear equation?</h3>
We have to consider two things:
- The data increases over the entire interval, not having changes in the behavior related to increasing/decreasing, hence a quadratic equation would not be a good representation for the data.
- The increase is best followed by a constant, especially for higher values, and not by a multiplier, hence a linear function is selected over an exponential function.
<h3>How to find the equation of linear regression using a calculator?</h3>
To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points are given as follows:
(1, 0.2), (2, 0.4), (3, 1.1), (4, 2.3), (5, 5.1), (6, 6.3), (7, 7.5).
Inserting these points into the calculator, the equation is given by:
y = 1.35x - 2.11.
More can be learned about linear equations at brainly.com/question/24808124
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