Question

Hannah made a table to show
the number of paragraphs in her
essays based on the number of
hours it took to write the essays.
Her data set is shown in the
table.

Answer 1

The equation of the line of best fit of Hannah's dataset represented by the graph is y = 1.25x  - 1

How to determine the equation of the line of best fit?

From the given figure, we have the following points on the line of best fit:

(x,y) = (2,1.5) and (4,4)

Start by calculating the slope (m) using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$m = \frac{4 -1.5}{4 - 2}$

Evaluate the differences

$m = \frac{2.5}{2}$

Divide

m = 1.25

The equation is then calculated using:

y = m(x - x₁) + y₁

So, we have:

y = 1.25(x - 2) + 1.5

Open the bracket

y = 1.25x - 2.5 + 1.5

Evaluate

y = 1.25x  - 1

Hence, the equation of the line of best fit is y = 1.25x  - 1

Read more about linear regression at:

https://brainly.com/question/17844286

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