The linear regression equation for a data set is y=1.6x-4.1. If the actual value at x=3 is 0.9, what is the residual value at x=3?

Residual is the difference between the predicted value and the actual value of the response variable

The residual at x = 3 is 0.2

The linear regression is given as:

The predicted value at x = 3 is calculated by substituting 3 for x in the linear regression

So, we have:

The actual value is given as 0.9.

So, the residual is calculated using:

This gives

Hence, the residual at x = 3 is 0.2

Read more about residuals at:

link

0.2

Step-by-step explanation:

Given the regression model :

y = 1.6x - 4.1

At x = 3

Predicted value = 1.6(3) - 4.1 = 0.7

If actual value at x = 3 is 0.9

The residual value at x = 3 ;

Residual value is the difference between the actual and predicted value :

Actual at x = 3 minus predicted at x = 3

Hence, Residual = 0.9 - 0.7 = 0.2

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step-by-step explanation: