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Marks of 8 students in Mathematics and statistics are given as: Mathematics: 80 75 76 69 70 85 72 68 Statistics: 85 65 72 68 67 88 80 70 Find the regression lines. When marks of a student in Mathematics are 90, what are his most likely marks in statistics?
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Marks of 8 students in Mathematics and statistics are given as: Mathem...
Regression Lines


  • Let X be the marks in Mathematics and Y be the marks in Statistics

  • Calculate the mean of Mathematics and Statistics marks, denoted by x̄ and ȳ respectively.

  • Calculate the standard deviation of Mathematics and Statistics marks, denoted by sx and sy respectively.

  • Calculate the correlation coefficient between Mathematics and Statistics marks, denoted by r.

  • Calculate the slope of the regression line of Y on X, denoted by b.

  • Calculate the intercept of the regression line of Y on X, denoted by a.

  • Calculate the slope of the regression line of X on Y, denoted by c.

  • Calculate the intercept of the regression line of X on Y, denoted by d.



Most Likely Marks in Statistics


  • Using the regression lines, input the value of X as 90 to get the most likely value of Y.



Explanation: To find the regression lines, we first need to calculate the mean and standard deviation of both Mathematics and Statistics marks. Then, we can calculate the correlation coefficient between them. Using this coefficient, we can calculate the slopes and intercepts of the regression lines. Once we have these lines, we can input the value of X (Mathematics marks) to find the most likely value of Y (Statistics marks) for a particular student.
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Marks of 8 students in Mathematics and statistics are given as: Mathematics: 80 75 76 69 70 85 72 68 Statistics: 85 65 72 68 67 88 80 70 Find the regression lines. When marks of a student in Mathematics are 90, what are his most likely marks in statistics?
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Marks of 8 students in Mathematics and statistics are given as: Mathematics: 80 75 76 69 70 85 72 68 Statistics: 85 65 72 68 67 88 80 70 Find the regression lines. When marks of a student in Mathematics are 90, what are his most likely marks in statistics? 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 Marks of 8 students in Mathematics and statistics are given as: Mathematics: 80 75 76 69 70 85 72 68 Statistics: 85 65 72 68 67 88 80 70 Find the regression lines. When marks of a student in Mathematics are 90, what are his most likely marks in statistics? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Marks of 8 students in Mathematics and statistics are given as: Mathematics: 80 75 76 69 70 85 72 68 Statistics: 85 65 72 68 67 88 80 70 Find the regression lines. When marks of a student in Mathematics are 90, what are his most likely marks in statistics?.
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