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Linear Regression

Hi guys,

I'm a bit lost with this question, any help please?

Suppose you are estimating a simple linear regression model:


a) If you multiply all the x values by 10, but not the y values, what happens to the parameter values B1 and B2? What happens to the least square estimates b1 and b2? What happens to the variance of the error term?

b) If you multiply all the y values by 10, but not the x values, what happens to the parameter values B1 and B2? What happens to the least squares estimates b1 and b2? What happens to the variance of the error term?

Thanks in advance.
Original post by Smeemi
Hi guys,

I'm a bit lost with this question, any help please?

Suppose you are estimating a simple linear regression model:


a) If you multiply all the x values by 10, but not the y values, what happens to the parameter values B1 and B2? What happens to the least square estimates b1 and b2? What happens to the variance of the error term?

b) If you multiply all the y values by 10, but not the x values, what happens to the parameter values B1 and B2? What happens to the least squares estimates b1 and b2? What happens to the variance of the error term?

Thanks in advance.


Go back to the defining equations and alter the variables accordingly to multiply by 10 where appropriate and see what happens.

This should be straight forward, but if it's not coming out post what you've done.

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