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Following are the two normal equations obtained for deriving the regression line of y and x: 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 a line that represents the relationship between the dependent variable y and the independent variable x. It is used to predict the value of y for a given value of x.
Normal Equations
The normal equations are used to derive the coefficients of the regression line. The equations are:
5a + 10b = 40
10a + 25b = 95
Solving the Normal Equations
To solve the normal equations, we can use the method of elimination. We can multiply the first equation by 2 and subtract it from the second equation to eliminate a:
10a + 25b = 95
-(10a + 20b = 80)
5b = 15
b = 3
Substituting b = 3 in the first equation:
5a + 10(3) = 40
5a = 10
a = 2
Regression Line
The regression line of y on x is given by:
y = 2 + 3x
This means that for every one unit increase in x, the predicted value of y increases by 3 units. The intercept of the line is 2, which represents the value of y when x is 0.
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Following are the two normal equations obtained for deriving the regression line of y and x: 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: 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: 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: 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: 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: 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: 5a 10b = 40 10a 25b = 95 The regression line of y on x is given by?.
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