MHB Finding the line of regression

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The discussion revolves around finding the regression line of y on x using two normal equations: 5a + 10b = 40 and 10a + 25b = 95. The user seeks clarification on how to derive the regression coefficients from these equations. It is noted that the regression equation typically takes the form y = Ax + B, where A is the regression coefficient and B is the y-intercept. The user believes that solving the equations will yield the means (x bar, y bar) but is unsure how to extract the regression coefficient. The conversation emphasizes the need for a clearer understanding of the normal equations and their components.
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Two normal equations are given :
5a + 10b = 40
10a + 25b = 95
What is the regression line of y on x?

I can easily find the common points from both the equations but how do I find the regression coefficeint?
 
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Doffy said:
Two normal equations are given :
5a + 10b = 40
10a + 25b = 95
What is the regression line of y on x?

I can easily find the common points from both the equations but how do I find the regression coefficeint?

Hi Doffy! Welcome to MHB! (Smile)

A regression equation is usually given as $y=Ax+B$.
The regression coefficient in this equation is $A$ and the y-intercept is $B$.

However, I'm not clear on what you have there.
What are those "normal equations"?
And what do your $a$ and $b$ represent?
 
Thanks for the welcome!:)

And the above two equations were obtained for deriving the regression line of y on x(it said so in the question).

In my opinion, by solving the above equations, the point I would get could become (x bar, y bar). But I cannot find the regression coefficient. What do you think?
 

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