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1. End of Unit Test on Inverse and Composite Transformations in 2D for S3 Students
2. End of Unit Test on Enlargement and Similarity in 2D for S3 Students
3. End of Unit Test on Collinear Points and Orthogonal Vectors for S3 Students
4. End of Unit Test on Right Angled Triangles for S3 Students
5. End of Unit Test on Percentage Interest and Proportion for S3 Students
6. End of Unit Test on Linear and Quadratic Functions for S3 Students
7. End of Unit Test on Quadratic Equations for S3 Students
8. End of Unit Test on Simultaneous Equations and Inequalities for S3 Students
9. End of Unit Test on Algebraic Fractions for S3 Students
10. End of Unit Test on Number Bases for S3 Students
11. End of Unit Test on Problems on Sets for S3 Students
Statistics of Bivariate Data Unit Summary
1. The data in the Table below belong to the same sample.
| x | 46 | 17 | 32 | 6 | 55 | 21 | 33 | 41 | 50 | 56 |
| y | 33 | 17 | 19 | 7 | 34 | 9 | 25 | 29 | 28 | 39 |
Such data is called Bivariate Data. This data has two variables \(x\) and \(y\).
The data has 10 entries
Each entry has two variants \(x\) and \(y\).
This data can be presented graphically using co-ordinates. \((x, y)\) ie. (46, 33) (17, 17)………… (56, 39)
2. The line drawn through the points is an approximation. It is called the line of best fit. It shows the general trend of the data or graph.
3. Assuming that the line of best fit is : 20y =1x+80. Then,
The line of best fit shows that there is a relationship between the two data sets though the line is an approximation. If it shows a positive trend i.e. the line has a positive gradient thus we say the data has a correlation. Since the line has a positive gradient, the correlation is positive. If the line had a negative gradient, we would say the correlation is negative.
4. We can use the graph to estimate missing variants. For example, we can find:
(i) y when x = 29; Ans y = 20
(ii) x when y = 3; Ans x = 60
(iii) y when x = 44; Ans y = 28