Respuesta :

fichoh

Answer:

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

MrRoyal

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:

[tex]y = 1.6x - 4.1[/tex]

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

So, we have:

[tex]y = 1.6 \times 3 - 4.1[/tex]

[tex]y = 4.8 - 4.1[/tex]

[tex]y = 0.7[/tex]

The actual value is given as 0.9.

So, the residual is calculated using:

[tex]Residual =Actual - Predicted[/tex]

This gives

[tex]Residual =0.9 - 0.7[/tex]

[tex]Residual =0.2[/tex]

Hence, the residual at x = 3 is 0.2

Read more about residuals at:

https://brainly.com/question/9315325

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