Question

Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear and quadratics, round slope, -intercept, and coefficients to the nearest integer. For exponential, round to the nearest integer and to the nearest tenth.
Day Height (cm)
1 0.2
2 0.4
3 1.1
4 2.3
5 5.1
6 6.3
7 7.5

Answer 1

The linear equation that best represents the data is given by:

y = 1.35x - 2.11.

Why is the data best represented by a linear equation?

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.

How to find the equation of linear regression using a calculator?

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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