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Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by?
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Following are the two normal equations obtained for deriving the regre...
Regression Line of y on x
The regression line of y on x is determined by the following steps:
Step 1: Calculate the slope of the regression line
The slope of the regression line is given by:
b = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)
where n is the number of observations, Σxy is the sum of the product of x and y, Σx is the sum of x, Σy is the sum of y, and Σx^2 is the sum of the square of x.
Using the values from the given normal equations:
n = 2, Σxy = 40, Σx = 15, Σy = 45, and Σx^2 = 35
Substituting the values in the formula:
b = (2 * 40 - 15 * 45) / (2 * 35 - 15^2) = -5 / 5 = -1
Step 2: Calculate the y-intercept of the regression line
The y-intercept of the regression line is given by:
a = (Σy - bΣx) / n
Substituting the values:
a = (45 - (-1) * 15) / 2 = 30
Step 3: Write the equation of the regression line
The equation of the regression line is given by:
y = a + bx
Substituting the values:
y = 30 - x
Therefore, the regression line of y on x is y = 30 - x.
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Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by?
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Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by?.
Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Following are the two normal equations obtained for deriving the regression line of y and x: none 45. 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by?.
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