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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

  • a)
    2x + 3y = 5

  • b)
    2y + 3x = 5

  • c)
    y = 2 + 3x

  • d)
    y = 3 + 5x

Correct answer is option 'C'. Can you explain this answer?
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Following are the two normal equations obtained for deriving the regre...
Solution:

The regression line of y on x is given by the equation:

y = a + bx

where a and b are the coefficients of the regression line.

Solving the given normal equations:

5a + 10b = 40

10a + 25b = 95

We can simplify the equations by dividing both sides by 5:

a + 2b = 8

2a + 5b = 19

Multiplying the first equation by 2 and subtracting from the second equation, we get:

a + 2b = 8

-2a - b = 3

Solving the above equations, we get:

a = 2 and b = 3

Therefore, the regression line of y on x is:

y = 2 + 3x

Hence, the correct option is C.
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Following are the two normal equations obtained for deriving the regression line of y and x:5a + 10b = 4010a + 25b = 95The regression line of y on x is given bya)2x + 3y = 5b)2y + 3x = 5c)y = 2 + 3xd)y = 3 + 5xCorrect answer is option 'C'. Can you explain this answer?
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