Which of the following equations best describes the trend line for the scatterplot above?

y = 3 x^{2} + 1

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y = x^{2} + 2

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y = 3 x + 1

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y = 3 x

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Solution

The correct option is A $y = 3 x^{2} + 1$
Take the first option $y = 3 x^{2} + 1$
Where in the graph represented the value of $x = 3, y = 28$
Substitute the value of $x = 3$ in equation,
$\Rightarrow y = 3 (3)^{2} + 1$
$\Rightarrow y = 28$
So, the equation is best describes the trend line for the scatter plot.

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Similar questions

Equation of the line passing through $(1, 2)$ and parallel to the line $y = 3 x - 1$ is

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}

\frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}, \frac{1}{2 (3 x - y)} - \frac{1}{2 (3 x - y)} = - \frac{1}{8}

3 x^{2} - 4 y^{2} = 12

\frac{1}{3 x + y} + \frac{1}{3 x - y} = \frac{3}{4}, \frac{1}{2 (3 x + y)} - \frac{1}{2 (3 x - y)} = \frac{- 1}{8}, 3 x + y \neq 0, 3 x - y \neq 0

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