given the following equations:
2x-3y=10
3x=4y=15
which one of the regression equation x on y?
show computation
Assume that 1st equation is x on y
And 2nd y on x then
bxy=3/2 and byx=-3/4
And if we assume 1st equation is y on x and 2nd as x on y then
byx=2/3 and byx=-4/3
Sign of bxy and byx are opposite in both the cases.
But by property,
sign of bxy and byx should b same
And as these equation are not following property , there is no correlation between these lines
As there is no correlation between them there is no line which can b called as x on y
Hence, ans. is none of these
None of these
none of these
I apologize, but there seems to be an error in the second equation you provided. It cannot have two equal signs. Could you please double-check and provide the correct equation?
To determine the regression equation for x on y, we need to rearrange the equations and solve for x in terms of y.
Let's start with the given equations:
Equation 1: 2x - 3y = 10
Equation 2: 3x + 4y = 15
First, let's rearrange Equation 1 to solve for x:
2x - 3y = 10
2x = 3y + 10
x = (3y + 10) / 2
Now, let's rearrange Equation 2 to solve for x:
3x + 4y = 15
3x = 15 - 4y
x = (15 - 4y) / 3
Notice that both equations are already solved for x in terms of y. However, there is an error in Equation 2. There should not be two equals signs (=) in the equation. I will assume it's a typo.
Let's correct the equation:
Corrected Equation 2: 3x - 4y = 15
Now, let's solve for x in terms of y:
3x - 4y = 15
3x = 4y + 15
x = (4y + 15) / 3
So, the regression equation for x on y is x = (4y + 15) / 3.
To summarize, to find the regression equation for x on y, we rearranged the given equations and solved for x in terms of y. The final equation is x = (4y + 15) / 3.