Homework SourseIn the scatter plot sketch an approximation of the leastsqua
In the scatter plot, sketch an approximation of the least-squares regression line for the data.
| X | Y |
| 4.9 | 5.3 |
| 10.2 | 9.6 |
| 8.9 | 8.6 |
| 1.6 | 1.5 |
| 4.6 | 3.6 |
| 7.5 | 6.7 |
| 8.6 | 10.3 |
| 7.2 | 8.3 |
| 4.0 | 4.6 |
| 9.5 | 10.2 |
| 3.5 | 3.3 |
| 7.8 | 8. |
| 3.1 | 3.3 |
| 2.1 | 3.0 |
| 5.8 | 5.2 |
| 5.8 | 6.4 |
| 6.2 | 6.3 |
| 2.2 | 11.8 |
Solution
4 Regression Equations
X independent, Y dependent
Linear: Y = AX + B:
Y = 0.731X + 2.2409
correlation = 0.6618
Exponential: Y = C(D^X):
Y = 2.4401(1.1592^X)
correlation = 0.7272
Power: Y = E(X^F):
Y = 1.8238(X^0.7035)
correlation = 0.7201
Logarithmic: Y = G + H(Ln(X)):
Y = 1.2847 + 3.1827Ln(X)
correlation = 0.5991
