Best Fit Curve and Variation

Front

What is a Best Fit Curve?

Back

A Best Fit Curve is a line or curve that best represents the data points in a scatter plot, minimizing the distance between the points and the curve.

Front

Define Inverse Variation.

Back

Inverse Variation occurs when one variable increases while the other decreases, such that their product is constant (xy = k).

Front

What is Direct Variation?

Back

Direct Variation occurs when two variables increase or decrease together, maintaining a constant ratio (y = kx).

Front

What is Joint Variation?

Back

Joint Variation occurs when a variable varies directly with the product of two or more other variables (y = kxz).

Front

How do you find the constant of variation in inverse variation?

Back

The constant of variation (k) can be found by multiplying the two variables (k = xy).

Front

What is the equation for direct variation?

Back

The equation for direct variation is y = kx, where k is the constant of variation.

Front

What is the equation for inverse variation?

Back

The equation for inverse variation is y = k/x, where k is the constant of variation.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is a polynomial function of degree 2, typically in the form y = ax² + bx + c.

Front

How can you determine if a function is linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.