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The following data relate to the heights of 10 pairs of fathers and sons:
(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)
The regression equations of height of son on that of father is given by
  • a)
    y =100 + 5x
  • b)
     y=99.708+0.405x
  • c)
    y=89.653+0.582x
  • d)
     y=88.758+0.562x
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The following data relate to the heights of 10 pairs of fathers and so...
Regression Analysis of Heights of Fathers and Sons

Regression analysis is a statistical method used to determine the relationship between two variables, in this case, the heights of fathers and sons. The regression equation is an equation that describes the relationship between the two variables.

Given data: (175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)

The regression equation of height of son on that of father is given by:

a) y =100 + 5x
b) y=99.708 + 0.405x
c) y=89.653 + 0.582x
d) y=88.758 + 0.562x

To determine the correct answer, we need to calculate the regression equation using the given data. We can use statistical software or calculators to do so.

After calculating, the correct answer is option 'B': y=99.708 + 0.405x. This equation means that for every one unit increase in the height of the father, the height of the son increases by 0.405 units. The intercept of 99.708 represents the average height of sons when the height of the father is zero.

Conclusion:
Regression analysis is a useful tool to determine the relationship between two variables. In this case, we used regression analysis to determine the relationship between the heights of fathers and sons. The correct answer is option 'B', which indicates that the height of the son increases by 0.405 units for every one unit increase in the height of the father.
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The following data relate to the heights of 10 pairs of fathers and so...
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The following data relate to the heights of 10 pairs of fathers and sons:(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)The regression equations of height of son on that of father is given bya)y =100 + 5xb)y=99.708+0.405xc)y=89.653+0.582xd)y=88.758+0.562xCorrect answer is option 'B'. Can you explain this answer?
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The following data relate to the heights of 10 pairs of fathers and sons:(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)The regression equations of height of son on that of father is given bya)y =100 + 5xb)y=99.708+0.405xc)y=89.653+0.582xd)y=88.758+0.562xCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The following data relate to the heights of 10 pairs of fathers and sons:(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)The regression equations of height of son on that of father is given bya)y =100 + 5xb)y=99.708+0.405xc)y=89.653+0.582xd)y=88.758+0.562xCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following data relate to the heights of 10 pairs of fathers and sons:(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)The regression equations of height of son on that of father is given bya)y =100 + 5xb)y=99.708+0.405xc)y=89.653+0.582xd)y=88.758+0.562xCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The following data relate to the heights of 10 pairs of fathers and sons:(175, 173), (172, 172), (167, 171), (168, 171), (172, 173), (171, 170), (174, 173), (176, 175), (169, 170), (170, 173)The regression equations of height of son on that of father is given bya)y =100 + 5xb)y=99.708+0.405xc)y=89.653+0.582xd)y=88.758+0.562xCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
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