Computer scienceData scienceMachine learningRegression

Multiple linear regression

Predicting employee's bonus

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Imagine that you are building a linear regression model which estimates the quarterly bonus of the employees of the company you work for based on the value of six inputs $x_1, ... ,x_6$ :

$\hat{y} = w_0 + w_1x_1 + ... + w_6x_6$ .

After fitting the model, you've got the following coefficients vector:

$\overrightarrow{\bf{w}} = (w_0, w_1, ... , w_6) = (4, 0.5, 3, 0.2,-1, -4, 17)$ .

Here is the data about your colleague:

Input variable	$x_1$	$x_2$	$x_3$	$x_4$	$x_5$	$x_6$
Value	3	0.5	20	4	0.3	0.1

Which bonus does the linear regression model predict for them?

Variables as python lists

x = [3, 0.5, 20, 4, 0.3, 0.1]
w = [4, 0.5, 3, 0.2,-1, -4, 17]

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