Question
Following is the distribution of marks (out of 25) obtained by 10 students in Physics and Mathematics.
| No. | Physics (Xi ) | Mathematics (Yi ) | X2 i | Y2 i | Xi Yi | |||
| 1 | 18 | 21 | 324 | 441 | 378 | |||
| 2 | 20 | 23 | 400 | 529 | 460 | |||
| 3 | 11 | 14 | 121 | 196 | 154 | |||
| 4 | 20 | 23 | 400 | 529 | 460 | |||
| 5 | 14 | 17 | 196 | 289 | 238 | |||
| 6 | 15 | 18 | 225 | 324 | 270 | |||
| 7 | 13 | 16 | 169 | 256 | 208 | |||
| 8 | 16 | 19 | 256 | 361 | 304 | |||
| 9 | 17 | 20 | 289 | 400 | 480 | |||
| 10 | 20 | 23 | 400 | 529 | 460 | |||
| Total | 164 | 194 | 2780 | 3854 | 3412 | |||
Draw a scatter diagram for all the 10 students and calculate the correlation between marks of Physics and Mathematics.
Answer :
Word Count : 233
To calculate the correlation between the marks in Physics (denoted by \(X_i\)) and Mathematics (denoted by \(Y_i\)), we will use the formula for Pearson's correlation coefficient \(r\): \[ r = \frac{n \sum X_i Y_i - \sum X_i \sum __________ ______ ________ _____ __________ ________ _______.
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To calculate the correlation between the marks in Physics (denoted by \(X_i\)) and Mathematics (denoted by \(Y_i\)), we will use the formula for Pearson's correlation coefficient \(r\): \[ r = \frac{n \sum X_i Y_i - \sum X_i \sum __________ ______ ________ _____ __________ ________ _______.
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