Suppose a least squares regression line is given by y= 4.302x - 3.293. What is the mean value of the response variable if x = 20?

Respuesta :

Answer:

i think this is the answer

Step-by-step explanation:

[tex]4.302(20) - 3.293 = 82.747[/tex]

The mean value of the response variable is 82.747.

What is Regression line?

Linear Regression calculates the equation of the line that is the best fit for the given data points. Linear regression models a linear relationship between the input variable x and the output variable y.

Here, given regression line;

        y= 4.302x - 3.293    ...............(i)

Now, value of x is given; x = 20

Put the value of x in equation (i), we get

     y = 4.302 X 20 - 3.293

     y = 86.04 - 3.293

     y = 82.747

Thus, the mean value of the response variable is 82.747.

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