6. There is a class of 80 students taking Maths and English lectures; the regression equation of grades in English (X) lesson on grades in Maths (Y) is 6Y – 5X + 20 = 0. The mean grades in Maths is 42 and variance of grades in English is 36/49 of the variance of grades in Maths. Find the mean grades in English and the correlation coefficient between grades in the two lectures.

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Chapter1: Combinatorial Analysis
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6. There is a class of 80 students taking Maths and English lectures; the regression equation of
grades in English (X) lesson on grades in Maths (Y) is 6Y - 5X + 20 = 0. The mean grades in
Maths is 42 and variance of grades in English is 36/49 of the variance of grades in Maths. Find
the mean grades in English and the correlation coefficient between grades in the two lectures.
Transcribed Image Text:6. There is a class of 80 students taking Maths and English lectures; the regression equation of grades in English (X) lesson on grades in Maths (Y) is 6Y - 5X + 20 = 0. The mean grades in Maths is 42 and variance of grades in English is 36/49 of the variance of grades in Maths. Find the mean grades in English and the correlation coefficient between grades in the two lectures.
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