The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students. Math (x) 75 80 93 65 87 71 98 68 84 77 English (y) 82 78 86 72 91 80 95 72 89 74 A) Obtain the relationship between the final marks in Mathematics and English by correlation coefficient. B)Fit a least-squares line from which the scatter diagram obtained in part (a). C)If a student receives a mark of 75 in mathematics, what is his expected mark in English? D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students.
Math (x) |
75 |
80 |
93 |
65 |
87 |
71 |
98 |
68 |
84 |
77 |
English (y) |
82 |
78 |
86 |
72 |
91 |
80 |
95 |
72 |
89 |
74 |
A) Obtain the relationship between the final marks in Mathematics and English by
B)Fit a least-squares line from which the
C)If a student receives a mark of 75 in mathematics, what is his expected mark in English?
D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?
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