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Given the regression equations as 3x + y = 13 and 2x + 5y = 20, which one is the regression equation of y on x?
- a)1st equation
- b)2nd equation
- c)both (a) and (b)
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Given the regression equations as 3x + y = 13 and 2x + 5y = 20, which ...
Regression Equations
The regression equation is an equation that represents the relationship between two variables. It is used to predict the value of one variable based on the value of another variable.
Given regression equations as 3x y = 13 and 2x 5y = 20, we need to find out which one is the regression equation of y on x.
Regression Equation of Y on X
The regression equation of y on x is an equation that represents the relationship between y and x. It is used to predict the value of y based on the value of x.
To find out which one is the regression equation of y on x, we need to put the equations in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Putting the first equation in slope-intercept form, we get:
3x + y = 13
y = -3x + 13
Putting the second equation in slope-intercept form, we get:
2x + 5y = 20
5y = -2x + 20
y = (-2/5)x + 4
Comparing the two equations, we can see that the second equation is the regression equation of y on x, because:
- It is in the form y = mx + b, where m is the slope and b is the y-intercept.
- The coefficient of x (-2/5) represents the slope of the line, which tells us how much y changes for each unit change in x.
- The y-intercept (4) represents the value of y when x is 0.
Therefore, the correct answer is option B, the second equation is the regression equation of y on x.
The regression equation is an equation that represents the relationship between two variables. It is used to predict the value of one variable based on the value of another variable.
Given regression equations as 3x y = 13 and 2x 5y = 20, we need to find out which one is the regression equation of y on x.
Regression Equation of Y on X
The regression equation of y on x is an equation that represents the relationship between y and x. It is used to predict the value of y based on the value of x.
To find out which one is the regression equation of y on x, we need to put the equations in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Putting the first equation in slope-intercept form, we get:
3x + y = 13
y = -3x + 13
Putting the second equation in slope-intercept form, we get:
2x + 5y = 20
5y = -2x + 20
y = (-2/5)x + 4
Comparing the two equations, we can see that the second equation is the regression equation of y on x, because:
- It is in the form y = mx + b, where m is the slope and b is the y-intercept.
- The coefficient of x (-2/5) represents the slope of the line, which tells us how much y changes for each unit change in x.
- The y-intercept (4) represents the value of y when x is 0.
Therefore, the correct answer is option B, the second equation is the regression equation of y on x.
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Given the regression equations as 3x + y = 13 and 2x + 5y = 20, which ...
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Given the regression equations as 3x + y = 13 and 2x + 5y = 20, which one is the regression equation of y on x?a)1st equationb)2nd equationc)both (a) and (b)d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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