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For the regression equation of Y on X , 2x + 3Y + 50 = 0. The value of bYX is
- a)2/3
- b)– 2/3
- c)–3/2
- d)none
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For the regression equation of Y on X , 2x + 3Y + 50 = 0. The value of...
Regression Equation:
The regression equation of Y on X is given by:
2X + 3Y + 50 = 0
Solving for Y, we get:
3Y = -2X - 50
Y = (-2/3)X - (50/3)
Therefore, the slope of the regression line is -2/3.
Definition of bYX:
The slope of the regression line of Y on X is denoted by bYX. It represents the change in Y for a unit change in X.
Formula:
bYX = ∑(Xi - X̄)(Yi - Ȳ) / ∑(Xi - X̄)²
where Xi and Yi are the values of X and Y respectively, X̄ and Ȳ are their means.
Calculation of bYX:
Since the regression equation of Y on X is:
Y = (-2/3)X - (50/3)
Therefore, the value of bYX is -2/3.
Hence, the correct option is B.
The regression equation of Y on X is given by:
2X + 3Y + 50 = 0
Solving for Y, we get:
3Y = -2X - 50
Y = (-2/3)X - (50/3)
Therefore, the slope of the regression line is -2/3.
Definition of bYX:
The slope of the regression line of Y on X is denoted by bYX. It represents the change in Y for a unit change in X.
Formula:
bYX = ∑(Xi - X̄)(Yi - Ȳ) / ∑(Xi - X̄)²
where Xi and Yi are the values of X and Y respectively, X̄ and Ȳ are their means.
Calculation of bYX:
Since the regression equation of Y on X is:
Y = (-2/3)X - (50/3)
Therefore, the value of bYX is -2/3.
Hence, the correct option is B.
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For the regression equation of Y on X , 2x + 3Y + 50 = 0. The value of...
The regression equation of Y on X is, 2x + 3Y + 50 = 0. The value of bYX is
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For the regression equation of Y on X , 2x + 3Y + 50 = 0. The value of bYX isa)2/3b) 2/3c)3/2d)noneCorrect answer is option 'B'. Can you explain this answer?
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