Question

Use linear regression to find a function that fits the following points. (-5,14), (1,-16)

Answer 1

The linear regression equation is y = -5x + 21

How to determine the equation?

The points are given as:

(-5,14), (1,-16)

The equation is then calculated using:

$y = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1$

This gives

$y = \frac{14 + 16}{-5 - 1} * (x - 1) + 16$

Evaluate

y = -5 (x - 1) + 16

Expand

y = -5x + 5 + 16

Evaluate the sum

y = -5x + 21

Hence, the linear regression equation is y = -5x + 21

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