WorksheetsFitting Parabola-Quiz
Total questions: 10
Worksheet time: 5mins
1. The main objective of the method of least squares is to:
Maximize the error
Minimize the sum of squared errors
Minimize absolute errors
Maximize correlation
2. In data science, least squares is commonly used in:
Data encryption
Data compression
Regression analysis
Hashing algorithms
3. The general equation of a parabolic curve used in curve fitting is:
y = ax + b
y = ae^x
y = ax² + bx + c
y = log x
4. In cyber security, curve fitting using least squares is useful for:
Password cracking
Key generation
Firewall configuration
Intrusion detection trend analysis
5. Which type of error is minimized in the least squares method?
Squared error
Relative error
Absolute error
Percentage error
6. Parabolic curve fitting is most suitable when the data shows:
Linear growth
Random pattern
Quadratic trend
Periodic behavior
7. In predictive cyber analytics, fitting a parabola to attack-frequency data helps in:
Key distribution
Malware scanning
Trend prediction
User authentication
8. Which system of equations is solved in parabolic curve fitting using least squares?
Differential equations
Linear equations in a, b, and c
Nonlinear equations only
Transcendental equations
9.If the fitted parabola is y = ax² + bx + c, then the coefficient 'a' mainly controls:
The vertical shift
The slope
The curvature
The intercept only
10. In anomaly detection for cyber security, least squares fitting is mainly used to:
Encrypt data
Detect deviations from normal behavior
Generate encryption keys
Compress logs
